Journal of Mahani Mathematical Research
https://jmmrc.uk.ac.ir/
Journal of Mahani Mathematical Researchendaily1Wed, 01 Nov 2023 00:00:00 +0330Wed, 01 Nov 2023 00:00:00 +0330Bifurcation of big periodic orbits through symmetric homoclinics, application to Duffing equation
https://jmmrc.uk.ac.ir/article_3668.html
&lrm;We consider a planar symmetric vector field that undergoes a homoclinic bifurcation&lrm;. &lrm;In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits&lrm;, &lrm;we investigate the existence of fixed points of the exterior Poincare map around these orbits&lrm;. This Poincare map is the result of the combination of flows inside and outside the homoclinic orbits. It shows how &lrm;a big periodic orbit converts to two small periodic orbits by passing through a double homoclinic structure&lrm;. Finally&lrm;, &lrm;we use the results to investigate the existence of periodic solutions of the perturbed Duffing equation.Gradient Ricci Bourguignon solitons on perfect fluid space-times
https://jmmrc.uk.ac.ir/article_3928.html
The main purpose of the present paper is about characterizing the properties of the perfect fluid space-time that admits the gradient Ricci-Bourguignon soliton. This gives some results about the stability of the energy-momentum tensor and also under some conditions pursues that a perfect fluid space-time is Ricci symmetric. As a special case, when a perfect fluid space-time is equipped with the Ricci-Bourguignon soliton which has Ricci biconformal vector field, we show that the metric of this space is Einstein.On RM-algebras with an additional condition
https://jmmrc.uk.ac.ir/article_4000.html
In this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this new algebra is a partial ordering. It is proved that RM-algebras with condition (I) are abelian group. Also, we present that the BI-algebras, BCK-algebras, L-algebras, KL-algebras CL-algebras and BE-algebras satisfying (I) are trivial.Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras
https://jmmrc.uk.ac.ir/article_3672.html
&lrm;In the context of observers&lrm;, &lrm;any mathematical model according to the viewpoint of an observer $ \Theta $ is called a relative model&lrm;. &lrm;The purpose of the present paper is to study the relative model of logical entropy&lrm;. &lrm;Given an observer $ \Theta $&lrm;, &lrm;we define the relative logical entropy and relative conditional logical entropy of a sub-$ \sigma_\Theta $-algebra having finitely many atoms on the relative probability $ \Theta&lrm;- &lrm;$measure space and prove the ergodic properties of these measures&lrm;. &lrm;Finally&lrm;, &lrm;it is shown that the relative logical entropy is invariant under&lrm;&lrm;the relation of equivalence modulo zero.Varentropy estimators applied to test of fit for inverse Gaussian distribution
https://jmmrc.uk.ac.ir/article_3948.html
Recently, Alizadeh and Shafaei (2023) introduced some estimators for varentropy of a continuous random variable. The present article applies these estimators and construct some tests of fit for Inverse Gaussian distribution. Percentage points and type I error of the new tests are obtained and then power values of the proposed tests against various alternatives are computed. The results of a simulation study show that the tests have a good performance in terms of power. Finally, a real data set is used to illustrate the application of the proposed tests.Fraïssé limit via forcing
https://jmmrc.uk.ac.ir/article_4112.html
Suppose $\mathcal{L}$ is a finite relational language and $\mathcal{K}$ is a class of finite $\mathcal{L}$-structures closed under substructures and isomorphisms. It is called aFra\"{i}ss\'{e} class if it satisfies Joint Embedding Property (JEP) and Amalgamation Property (AP). A Fra\"{i}ss\'{e} limit, denoted $Flim(\mathcal{K})$, of aFra\"{i}ss\'{e} class $\mathcal{K}$ is the unique\footnote{The existence and uniqueness follows from Fra\"{i}ss\'{e}'s theorem, See \cite{hodges}.} countable ultrahomogeneous (every isomorphism of finitely-generated substructures extends to an automorphism of $Flim(\mathcal{K})$) structure into which every member of $\mathcal{K}$ embeds.Given a Fra&iuml;ss&eacute; class K and an infinite cardinal &kappa;, we define a forcing notion which adds a structure of size &kappa; using elements of K, which extends the Fra&iuml;ss&eacute; construction in the case &kappa;=&omega;.Commutators-based graph in polygroup
https://jmmrc.uk.ac.ir/article_4113.html
In this paper, first, we study commutators of a polygroup. Then for a finite polygroup $P$ and a fixed element $g \in P$, we introduce the $g$-graph $\Delta_P^g$. In addition, with some additional conditions, we see that it is connected and the diameter is at most $3$. Then, we investigate isomorphic graphs. Specially, we obtain a new isomorphic graph derived from an isomorphic graph and two non-commutative isomorphic polygroups. Also, we show that two polygroups with&nbsp; isomorphic graphs preserve nilpotency.Generating modern persian carpet map by style-transfer
https://jmmrc.uk.ac.ir/article_3694.html
Today, the great performance of Deep Neural Networks(DNN) has been proven in various fields. One of its most attractive applications is to produce artistic designs. A carpet that is known as a piece of art is one of the most important items in a house, which has many enthusiasts all over the world. The first stage of producing a carpet is to prepare its map, which is a difficult, time-consuming, and expensive task. In this research work, our purpose is to use DNN for generating a Modern Persian Carpet Map. To reach this aim, three different DNN style transfer methods are proposed and compared against each other. In the proposed methods, the Style-Swap method is utilized to create the initial carpet map, and in the following, to generate more diverse designs, methods Clip-Styler, Gatys, and Style-Swap are used separately. In addition, some methods are examined and introduced for coloring the produced carpet maps. The designed maps are evaluated via the results of filled questionnaires where the outcomes of user evaluations confirm the popularity of generated carpet maps. Eventually, for the first time, intelligent methods are used in producing carpet maps, and it reduces human intervention. The proposed methods can successfully produce diverse carpet designs, and at a higher speed than traditional ways.Bayesian inference on reliability parameter with non-identical-component strengths for Rayleigh distribution
https://jmmrc.uk.ac.ir/article_3952.html
In this paper, we delve into Bayesian inference related to multi-component stress-strength parameters, focusing on non-identical component strengths within a two-parameter Rayleigh distribution under the progressive first failure censoring scheme. We explore various scenarios: the general case, and instances where the common location parameter is either unknown or known. For each scenario, point and interval estimates are derived using methods including the MCMC method, Lindley's approximation, exact Bayes estimates, and HPD credible intervals. The efficacy of these methods is evaluated using a Monte Carlo simulation, and their practical applications are demonstrated with a real data set.Multipliers in weak Heyting algebras
https://jmmrc.uk.ac.ir/article_4182.html
In this paper, we introduce the notion of multipliers in weak Heyting algebras and investigate some related properties of them. We obtain the relations between multipliers, closure operators, and homomorphisms in weak Heyting algebras. Relations among image sets and fixed point sets of multipliers in weak Heyting algebras are investigated. Also, we study algebraic structures of the set of all multipliers in weak Heyting algebras. Using multipliers, the left and right m-stabilizers in weak Heyting algebras are introduced, and some related properties are given. Also, we obtain conditionssuch that the left and right m-stabilizers form two weak Heyting algebras.Parsimonious mixture of mean-mixture of normal distributions with missing data
https://jmmrc.uk.ac.ir/article_4229.html
Clustering multivariate data based on mixture distributions is a usual method to characterize groups and label data sets. Mixture models have recently been received considerable attention to accommodate asymmetric and missing data via exploiting skewed and heavy-tailed distributions. In this paper, a mixture of multivariate mean-mixture of normal distributions is considered for handling missing data. The EM-type algorithms are carried out to determine maximum likelihood of parameters estimations. We analyzed the real data sets and conducted simulation studies to demonstrate the superiority of the proposed methodology.Merging of units based on inverse data envelopment analysis
https://jmmrc.uk.ac.ir/article_3696.html
Inverse data envelopment analysis (InvDEA) is a remarkable and popular management tool. This paper deals with one application of this tool. In fact, the problem of the combination of the units is investigated in the presence of negative data. The problem of combining units refers to the fact that a set of units create a new unit based on synergy to improve their performance. We use multiple objective programming for this purpose and suggest new models based on predetermined conditions for the new unit. The proposed models estimate inputs and outputs simultaneously. Importance advantages of the proposed models are i) We can follow multiple goals in the problem of combining units because multiple objective programming is applied. ii) Models can simultaneously estimate the inputs and outputs of the combined unit. iii) Unlike the existing methods in the InvDEA-based merging literature, the negative data do not need to be transferred to positive data. Finally, a numerical example is used to explain and validate the model proposed in this paper.Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices
https://jmmrc.uk.ac.ir/article_3961.html
In this paper, a class of matrices, namely, Drazin-dagger matrices, in which the Drazin inverse andthe Moore-Penrose inverse commute, is introduced. Also, some properties of the generalized inverses of these matrices, are investigated. Moreover, some results about the Moore-Penrose inverse, the Drazin inverse and the numerical range of some reciprocal matrices are obtained. In particular, the relations between reciprocal matrices, Drazin-Dagger matrices and star order are established. Also, some properties of the generalized inverses of the conjugate EP matrices are studied. To illustrate the results, some numerical examples are also given.Meromorphic functions with missing coefficients defined by $q$-derivative
https://jmmrc.uk.ac.ir/article_3723.html
By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined. Also, the first and second order {$q$--derivative} of meromorphic functions are introduced. Coefficient bounds, extreme points, radii of starlikeness and convexity are obtained. Furthermore, the convexity and preserving under convolution with some restrictions on parameters are investigatedCommuting Conjugacy Class Graph of The Finite $2-$Groups $G_n(m)$ and $G[n]$
https://jmmrc.uk.ac.ir/article_3979.html
&lrm;Suppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a graph with non-central conjugacy classes of $G$ as its vertex set. Two vertices $L$ and $K$ in $\Gamma(G)$ are adjacent if there are $a \in L$ and $b \in K$ such that $ab = ba$.&nbsp; &nbsp; This graph &nbsp;is called the commuting conjugacy class graph of $G$. &nbsp;The purpose of this paper is to compute &nbsp;the commuting conjugacy class graph of the finite $2-$groups $G_n(m)$ and $G[n]$.Monte Carlo comparison of goodness-of-fit tests for the Inverse Gaussian distribution based on empirical distribution function
https://jmmrc.uk.ac.ir/article_3725.html
The Inverse Gaussian (IG) distribution is widely used to model positively skewed data. In this article, we examine goodness of fit tests for the Inverse Gaussian distribution based on the empirical distribution function. In order to compute the test statistics, parameters of the Inverse Gaussian distribution are estimated by maximum likelihood estimators (MLEs), which are simple explicit estimators. Critical points and the actual sizes of the tests are obtained by Monte Carlo simulation. Through a simulation study, power values of the tests are compared with each other. Finally, an illustrative example is presented and analyzed.A new improved fruit fly optimization algorithm based on particle swarm optimization algorithm for function optimization problems
https://jmmrc.uk.ac.ir/article_3982.html
The Fruit Fly Optimization algorithm is an intelligent optimization algorithm. To improve accuracy, convergence speed, as well as jumping out of local optimum, a modified Fruit Fly Optimization algorithm (MFFOV) is proposed in this paper. The proposed algorithm uses velocity in particle swarm optimization and improves smell based on dimension and random perturbations. As a result of testing ten benchmark functions, the convergence speed and accuracy are clearly improved in Modified Fruit Fly Optimization (MFFOV) compared to algorithms of Fruit Fly Optimization (FFO), Particle Swarm Optimization (PSO), Artificial Bee Colony (ABC), Teaching-Learning-Based Optimization (TLBO), Genetic Algorithms (GA), Gravitational Search Algorithms (GSA), Differential Evaluations (DEs) and Hunter&ndash;Prey Optimizations (HPOs). A performance verification algorithm is also proposed and applied to two engineering problems. Test functions and engineering problems were successfully solved by the proposed algorithm.Analytical investigation of fractional differential inclusion with a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions
https://jmmrc.uk.ac.ir/article_3727.html
Here, we investigate the existence of solutions for the initial value problem of fractional-order differential inclusion containing a nonlocal infinite-point or Riemann&ndash;Stieltjes integral boundary conditions. A sufficient condition for the uniqueness of the solution is given. The continuous dependence of the solution on the set of selections and on some data is studied. At last, examples are designed to illustrate the applicability of the theoretical results.Generalized Cesaro tensor and it's properties
https://jmmrc.uk.ac.ir/article_3983.html
Recently, infinite and finite dimensional generalized Hilbert tensors have been introduced. In this paper, the authors further introduce infinite and finite dimensional generalized Cesaro tensors as a generalization of Cesaro matrices and discuss the properties of these structured tensors. Next, some &nbsp;upper bounds of $Z_{1}$-spectral radius of generalized Cesaro tensors &nbsp;and &nbsp;generalized Hilbert tensors are given, &nbsp;which improves the existing ones. Finally, we obtain conditions under which a generalized Cesaro tensor is column sufficient tensor.Using frames in GMRES-based iteration method for solving operator equations
https://jmmrc.uk.ac.ir/article_3984.html
&lrm;In this paper, we delve into frame theory to create an innovative iterative method for resolving the operator equation $ Lu=f $. In this case, $ L:H\rightarrow H $, a bounded, invertible, and self-adjoint linear operator, operates within a separable Hilbert space denoted by $H$. Our methodology, which is based on the GMRES projective method, introduces an alternate search space, which brings another dimension to the problem-solving process. Our investigation continues with the assessment of convergence, where we look at the corresponding convergence rate. This rate is intricately influenced by the frame bounds, shedding light on the effectiveness of our approach. Furthermore, we investigate the ideal scenario in which the equation finds an exact solution, providing useful insights into the practical implications of our work.A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment
https://jmmrc.uk.ac.ir/article_3728.html
In this paper, an attempt has been taken to develop a method to solve the neutrosophic multiobjective linear fractional programming (NMOLFPP) problem. In the first step of our method, the problem is linearized based on some transformations. Then, the linearized model is reduced to a crisp multi-objective programming problem with the help of the accuracy function for each objective. In the following, we extended Zimmerman&rsquo;s approach to maximize the truth membership and minimize the indeterminacy and falsity membership functions in the solution procedure. Finally, to illustrate the proposed approach, a numerical example is included.An operational collocation based on the Bell polynomials for solving high order Volterra integro-differential equations
https://jmmrc.uk.ac.ir/article_3986.html
In this paper, an operational matrix method based on the Bell polynomials &nbsp;has been presented to find approximate solutions of high-order Volterra integro-differential equations. This method &nbsp;uses a simple computational manner to obtain a quite acceptable approximate solution. The main characteristic behind this method lies in the fact that on the one hand, the problem will be reduced to a system of algebraic equations and on the other hand, the efficiency and accuracy of the Bell polynomials &nbsp;for solving these equations are acceptable. The convergence analysis of &nbsp;this method will be shown by preparing some theorems. Moreover, we will obtain an estimation of the error bound for this algorithm. Finally, some examples are presented to illustrate the applicability, efficiency and accuracy of this &nbsp;scheme in comparison with some &nbsp;other well-known methods such as Legendre, Bernoulli, Taylor and Bessel polynomial algorithms(Inverse) Neutrosophic special n-domination in neutrosophic graphs with application in decision making
https://jmmrc.uk.ac.ir/article_3736.html
In this paper the meanings of neutrosophic special $n$-dominating set, &nbsp;neutrosophic special $n$-domination number, inverse neutrosophic special domination set (number) and &nbsp;inverse neutrosophic special $n$-domination number are introduced and some of related results are investigated. Finally, an application of inverse neutrosophic special dominating set in decision making under ashy clauses between certainty and uncertainty is provided. In fact, we present a decision-making problem in real-world applied example which discusses the factors influencing a companys efficiency. The presented model is, in fact, a factor-based model wherein the impact score of each factor is divided into two types of direct and indirect influences.A fixed point method for the stability of functional equations in probabilistic normed quasi-linear spaces
https://jmmrc.uk.ac.ir/article_3988.html
In this article, we define probabilistic normed quasi-linear spaces and provide some introductions and examples to clarify the structure of these spaces. We then investigate the generalized Hyers-Ulam stability of the (additive) Cauchy functional equation in probabilistic normed quasi-linear spaces by using a version of the fixed point theorem.A DB estimation method for the E-MN probability distribution parameters with applications in humanities
https://jmmrc.uk.ac.ir/article_3758.html
One of the humanities' most basic topics is the response time to creative problem-solving and decision-making in this field. In recent years, response time modeling by fitting an exponentially-modified normal (E-MN) probability distribution and the results obtained from this process have been widely used. The E-MN probability distribution results from the convolution of a normal probability distribution and an exponential probability distribution and contains three parameters. In this paper, a developed Bayesian (DB) estimation method is introduced to estimate the parameters of an E-MN probability distribution. This new estimation method uses the adaptive rejection Metropolis-Hastings (ARM-H) sampling method. The reason for this is that in normal mode and based on the classical Bayesian estimation method, the chosen prior probability density functions (pdfs) lead to posterior pdfs with unknown form and, they are not always logarithmically concave. Also, respectively, simulation and real data sets study have been done to demonstrate the better performance of the DB estimation method than the two other well-known estimation methods used in this context, including the maximum likelihood (ML) estimation method and the quantile maximum likelihood (QML) estimation method. To show the better efficiency of the proposed estimation method compared with the two other estimation methods, the root mean squared error (RMSE) criterion is used.Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation
https://jmmrc.uk.ac.ir/article_3989.html
We apply the basic Lie symmetry method to investigate the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation&lrm;. &lrm;In this case&lrm;, &lrm;the symmetry classification problem is answered&lrm;. &lrm;We obtain symmetry algebra&lrm; &lrm;and create the optimal system of Lie subalgebras. We obtain the symmetry reductions and invariant solutions of the considered equation using these vector fields&lrm;. &lrm;Finally&lrm;, &lrm;we determine the conservation laws of the vnCBS equation via the Bluman-Anco homotopy formula&lrm;.Ricci-Bourguignon flow on an open surface
https://jmmrc.uk.ac.ir/article_3762.html
In this paper, we investigate the normalized Ricci-Bourguignon flow with incomplete initial metric on an open surface. We show that such a flow converges exponentially to a metric with constant Gaussian curvature if the initial metric is suitable. In particular, if the initial metric is complete then the metrics converge to the standard hyperbolic metric.Stability of Deeba and Drygas functional equations in non-Archimedean spaces
https://jmmrc.uk.ac.ir/article_3772.html
In this paper, we &nbsp;use new techniques to prove Hyers-Ulam &nbsp;and Hyers-Ulam-Rasiass stability of Deeba, Drygas and logarithmic functional equations in non-Archimedean normed spaces. We generalize some earlier results connected with the stability of these functional equations and inequalities. In addition, we provide some examples to clarify the definitions and theorems.Application of Sigmoid function in the space of univalent functions based on subordination
https://jmmrc.uk.ac.ir/article_3993.html
In the present paper, we introduce a new subclass of normalized analytic and univalent functions in the open unit disk associated with Sigmoid function. Coefficient estimates, convolution conditions, convexity and some other geometric properties for functions in this class are investigated. Also, subordination and inclusion results are obtained.Some supercharacter theories of a certain group of order $6n$
https://jmmrc.uk.ac.ir/article_3994.html
In this paper, we are going to obtain some normal supercharacter theories of a group of order $6n$ with the presentation&nbsp; $ U_{6n} = &lt;a, b: a^{2n} = b^{3 } = 1, a^{-1}ba = b^{-1}&gt;$ in special cases. &nbsp;We will &nbsp;also prove &nbsp;that the automorphic supercharacter theories of this group can be computed &nbsp;with the other methods.The relationship between the number of extrema of compound sinusoidal signals and its high-frequency component
https://jmmrc.uk.ac.ir/article_3775.html
As the main findings of our research work, we present a novel theorem on the relationship between the number of extrema of compound sinusoidal signals and its high-frequency component. In the case of signals consisting of the sum of two sine signals, if the high-frequency component has a higher product of the frequency and the amplitude, then we prove that the frequency of the high-frequency component is proportional to the number of extrema in a time interval. This theorem justifies some of the experimental results of other researchers on the relevance of extrema to frequency and amplitude. To confirm the theorem, extrema counting was performed on speech signals and compared with Fourier transform. The experimental results show that the average number of extrema of the compound sinusoidal signal or its derivatives over a time interval can be used to estimate the frequency at its highest frequency band. An important application of this research work is the fast calculation of high frequencies of a signal. This theorem also shows that the number of extrema points can be used as a new effective feature for signal processing, especially speech signals.A generalized notion of orthogonality preserving mappings on inner product modules
https://jmmrc.uk.ac.ir/article_3999.html
&lrm;&lrm;&lrm;&lrm;&lrm;In this paper, we define a new concept called ``strongly orthogonality preserving mappings '' for inner product modules, which extends the existing notion of ``orthogonality preserving mappings". Also, we provide a condition that is both necessary and sufficient for a linear map between inner product modules to be strongly orthogonality preserving. Some examples on the definition are given.Stability of lattice functional equation in UCBF-algebra
https://jmmrc.uk.ac.ir/article_3783.html
The main aim of this research is to investigate the stability of a functional equation that maintains the lattice structure in a uniformly complete unital Banach $f$-algebra. Through this inquiry, we can shed light on the behavior of this equation and its relationship with the algebraic properties of a Banach space. This research has both theoretical and practical implications. It contributes to the foundations of functional analysis, lattice theory, operator theory, approximation theory, and various applied mathematical disciplines. The findings from this research can have implications in diverse fields ranging from mathematics and physics to engineering and computer science, offering valuable insights and potential applications.Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$
https://jmmrc.uk.ac.ir/article_4075.html
&lrm;&lrm;In this note, we present an equivalent condition for linear preservers of group majorization induced by closed subgroup $G$ of $O(\mathbb{R}^n)$. Moreover, a new concept of majorization &nbsp;is defined on $\mathbb{R}^3$ as acu-majorization and this is extended for $3 \times m$ matrices. Then we characterize all its linear preservers on $\mathbb{R}^3$ and $M_{3,m}$.Application of superhypergraphs-based domination number in real world
https://jmmrc.uk.ac.ir/article_3792.html
&nbsp; &nbsp; The concept of (quasi) superhypergraphs as a generalization of graphs makes a relation between some sets of elements in detail and in general (in the form of parts to parts, parts to whole, and whole to whole elements of sets) and is very useful in the real world. This paper considers the novel concept of (quasi) superhypergraphs and introduces the notation of dominating set and domination number of (quasi) superhypergraphs. Especially, we have analyzed the domination number of uniform (quasi) superhypergraphs and computed their domination number on different cases. The flows (from right to left, from left to right, and two-sided) as maps play a main role in (quasi) superhypergraphs and it is proved that domination numbers of (quasi) superhypergraphs are dependent on the flows. We define the valued-star (quasi) superhypergraphs for the design of hypernetworks and compute their domination numbers. We have shown that the domination numbers of valued-star (quasi) superhypergraphs are distinct in &nbsp;different flow states. In final, we introduce some applications of dominating sets of (quasi) superhypergraphs in hypernetwork as computer networks and treatment networks with the optimal application.A new weighted distribution based on the mixture of asymmetric Laplace family with application in survival analysis
https://jmmrc.uk.ac.ir/article_3797.html
The generalization of asymmetric Laplace (AL) distribution has recently received considerable attention in dealing with skewed and long-tailed data. In this article, we introduce a new family of distributions based on the location mixture of asymmetric Laplace (LM-AL) distribution. Some properties of this family, such as expressions for mean, variance, skewness and kurtosis coefficients and characteristic function, are derived. We show that this family of distributions is quite flexible because it has wider ranges of skewness and kurtosis than the other skew distributions introduced in the literature. We also introduce a family of weighted distributions based on the survival function of the exponential distribution and will show that truncated LM-AL distribution in zero which can be used in survival analysis, belongs to this family. In order to compute the maximum likelihood (ML) estimation of the parameters in the location mixture of AL distribution, an EM-type algorithm is developed and the estimation of parameters of model in survival analysis performed using a maximization algorithm, due to the problem complexity. Finally, the performance and applicability of the truncated LM-AL model in survival analysis is illustrated through analyzing a simulation study and two real data set. This family of distributions represent a suitable alternative to existing models such as Weibull, log-normal, log-logistic, gamma and Lindley distributions.The construction of fractions of $\Gamma$-module over commutative $\Gamma$-ring
https://jmmrc.uk.ac.ir/article_3820.html
The aim of this paper is to construct fraction of $\Gamma$-module over commutative $\Gamma$-ring. There should be an appropriate set $S$ of elements in a $\Gamma$-ring $R$ to be used as $\Gamma$-module of fractions. Then we study the homomorphisms of $\Gamma$-module which can lead to related basic results. We show that for every $\Gamma$-module $M$, $S^{-1}(0:_R M)=(0:_{S^{-1}R} S^{-1}M).$ Also, if $M$ is a finitely generated $R_\Gamma$-module, then $S^{-1}M$ is finitely generated.&nbsp;Metric dimension of lexicographic product of some known graphs
https://jmmrc.uk.ac.ir/article_3826.html
&lrm;For an ordered set $W=\{w_1,w_2,\ldots,w_k\}$ of vertices and a vertex $v$ in a connected graph $G$, the ordered $k$-vector $r(v|W):=(d(v,w_1),d(v,w_2),\ldots,d(v,w_k))$ is &nbsp;called &nbsp;the (metric) representation of $v$ with respect to $W$, where $d(x,y)$ is the distance between the vertices $x$ and $y$. The set $W$ is called &nbsp;a resolving set for $G$ if distinct vertices of $G$ have distinct representations with respect to $W$. The minimum cardinality of a resolving set for $G$ is its metric dimension. In this paper, we investigate the metric dimension of the lexicographic product &nbsp;of graphs $G$ and $H$, $G[H]$, for some known graphs.Biodiversity: SDGs and Aichi Targets
https://jmmrc.uk.ac.ir/article_3843.html
The Aichi biodiversity targets were established by the UN convention of biological Diversity and consist of 20 specific targets to address and mitigate biodiversity loss across the globe. We determine how well OECD countries are achieving the Aichi targets. We use the Sustainable Development Goals to make the determination. The Biodiversity and Habitat issue category assesses countries&rsquo; actions toward retaining natural ecosystems and protecting the full range of biodiversity within their borders. It consists of seven indicators: terrestorial biome protection (weighted for national and global rarity of biomes), marine protected areas, Protected Areas Representativeness Index, Species Habitat Index, Species Protection Index, and Biodiversiy Index, [4]. We determine the similarity between the rankings determined by the weighted average values and the Environmental Performance Index (EPI) scores.A New Hybrid Filter-Wrapper Feature Selection using Equilibrium Optimizer and Simulated Annealing
https://jmmrc.uk.ac.ir/article_3852.html
Data dimensions and networks have grown exponentially with the Internet and communications. The challenge of high-dimensional data is increasing for machine learning and data science. This paper presents a hybrid filter-wrapper feature selection method based on Equilibrium Optimization (EO) and Simulated Annealing (SA). The proposed algorithm is named Filter-Wrapper Binary Equilibrium Optimizer Simulated Annealing (FWBEOSA). We used SA to solve the local optimal problem so that EO could be more accurate and better able to select the best subset of features. FWBEOSA utilizes a filtering phase that increases accuracy as well as reduces the number of selected features. The proposed method is evaluated on 17 standard UCI datasets using Support Vector Machine (SVM) and K-Nearest Neighbors (KNN) classifiers and compared with ten state-of-the-art algorithms (i.e., Binary Equilibrium Optimizer (BEO), Binary Gray Wolf Optimization (BGWO), Binary Swarm Slap Algorithm (BSSA), Binary Genetic Algorithm (BGA), Binary Particle Swarm Optimization (BPSO), Binary Social Mimic Optimization (BSMO), Binary Atom Search Optimization (BASO), Modified Flower Pollination Algorithm (MFPA), Bar Bones Particle Swarm Optimization (BBPSO) and Two-phase Mutation Gray Wolf Optimization (TMGWO)). Based on the results of the SVM classification, the highest level of accuracy was achieved in 13 out of 17 data sets (76%), and the lowest number of selected features was achieved in 15 out of 17 data sets (88%). Furthermore, the proposed algorithm using class KNN achieved the highest accuracy rate in 14 datasets (82%) and the lowest selective feature rate in 13 datasets (76%).Adjusted empirical likelihood analysis of restricted mean survival time for length-biased data
https://jmmrc.uk.ac.ir/article_4235.html
The Restricted Mean Survival Time (RMST) serves as a valuable and extensively utilized metric in clinical trials. However, its application becomes intricate when dealing with data affected by length-biased sampling, rendering traditional inference strategies inadequate. To overcome this challenge, we advocate for the adoption of nonparametric techniques. One notably promising approach is the Empirical Likelihood (EL) method, which furnishes robust results without the need for stringent parametric assumptions. In practical scenarios, the underlying sampling distributions often remain elusive, necessitating adjustments in the case of parametric methodologies. The EL method has demonstrated its efficacy in addressing such complexities. Consequently, this paper introduces the EL method for computing RMST in situations involving both length-biased and right-censored data. Additionally, we introduce the concept of adjusted empirical likelihood (AEL) to further enhance the coverage probability, particularly when dealing with smaller sample sizes. To gauge the performance of the EL and AEL methods, we conduct simulations and rigorously compare their results. The findings unequivocally demonstrate that AEL-based confidence intervals consistently provide superior coverage probability when juxtaposed with EL-based intervals. Lastly, we substantiate the practical applicability of our proposed method by employing it in the analysis of a real dataset.Thermal-Aware Virtual Machine Placement Approaches: A Survey
https://jmmrc.uk.ac.ir/article_4245.html
Thermal-aware virtual machine (VM) placement has emerged as a critically significant research domain in response to the escalating demand for energy-efficient and dependable cloud data centers. Addressing the imperative need for resource optimization and reduced energy consumption, the virtual machine placement problem seeks to strategically allocate VMs to physical servers while adhering to stringent thermal constraints. This paper intricately surveys the state-of-the-art techniques employed in thermal-aware VM placement, encompassing both static and dynamic approaches. Our comprehensive analysis delves into influential factors, including workload characteristics, server heterogeneity, and advanced thermal management techniques. By elucidating the intricacies of these considerations, our review offers a nuanced understanding of the complex VM placement landscape. Importantly, we spotlight key challenges and identify open research issues, presenting a roadmap for future investigations. This review paper stands as a pivotal resource, providing invaluable insights for researchers and practitioners navigating the evolving landscape of thermal-aware virtual machine placement in cloud data centers.On hypersurfaces of Lorentzian standard 4-space forms satisfying a biconservativity condition
https://jmmrc.uk.ac.ir/article_3853.html
In this manuscript, we consider an extended version of biconservativity condition (namely, ${\textrm C}$-biconservativity) on the Riemannian hypersurfaces of Lorentzian standard 4-space forms. This new condition is obtained by substituting the Cheng-Yau operator ${\textrm C}$ instead of the Laplace operator $\Delta$. We show that every ${\textrm C}$-biconservative Riemannian hypersurface of a Lorentzian 4-space form with constant mean curvature has constant scalar curvature.On the distributivity of the lattice of radical submodules
https://jmmrc.uk.ac.ir/article_3895.html
Let $R$ be a commutative ring with identity and $\mathcal{R}(_{R}M)$ denotes the bounded lattice of radical submodules of an $R$-module $M$. We say that $M$ is a radical distributive module, if $\mathcal{R}(_{R}M)$ is a distributive lattice. It is shown that the class of radical distributive modules contains the classes of multiplication modules and finitely generated distributive modules properly. It is shown that if $M$ is a semisimple $R$-module and for any radical submodule $N$ of $M$ with direct sum complement $\tilde{N}$, the complementary operation on $\mathcal{R}(_{R}M)$ is defined by $N':=\tilde{N}+rad(0)$, then $\mathcal{R}(_{R}M)$ with this unary operation forms a Boolean algebra. In particular, if $M$ is a multiplication module over a semisimple ring $R$, then $\mathcal{R}(_{R}M)$ is a Boolean algebra, which is also a homomorphic image of $\mathcal{R}(_{R}R)$.Numerical solutions for a class stochastic partial differential equations
https://jmmrc.uk.ac.ir/article_3898.html
The aim of this manuscript is to introduce and analyze a stochastic finite difference &nbsp;scheme for Ito stochastic partial differential equations. We also discuss the consistency, stability, and convergence for the stochastic finite difference scheme. The numerical simulations obtained from the proposed&nbsp; stochastic finite difference scheme show the efficiency of the suggested&nbsp; stochastic finite difference scheme.Schur multiplier operator and matrix inequalities
https://jmmrc.uk.ac.ir/article_3899.html
In this note we obtain a reverse version of the Haagerup Theorem. In particular, if $ A \in \mathbb{M}_{n}$ has a $ 2\times2- $ principal submatrix as $ \left[ \begin{array}{cc}1&amp; \alpha \\\beta &amp; 1\\\end{array}\right]$ with $ \beta \neq \bar{\alpha}, $ then $ \Vert S_{A} \Vert &gt; 1$ where the operator $ S_{A}:\mathbb{M}_{n}\longrightarrow \mathbb{M}_{n} $ is defined by $S_{A}(B) := A \circ B $ where $ "\circ " $ stands for Schur product.A view on weighted exponential entropy and examining some of its features
https://jmmrc.uk.ac.ir/article_3926.html
One of the alternative versions of Shannon entropy is a measure of information which is called exponential entropy. Shannon and exponential entropies depend only on the event probabilities. These measures have also been extended to incorporate a set of weights associated with the events. Such weights may reflect some additional characteristics of the events such as their relative importance. In this paper, Axiomatic derivations and properties of weighted exponential entropy parallel to those achieved for weighted entropy are investigated. The relation between weighted exponential entropy of &nbsp;X and a strictly monotone and nonnegative function of X has obtained. The generalized weighted entropy and the generalized weighted exponential entropy for continuous random variable have been presented.A note on characterization of higher derivations and their product
https://jmmrc.uk.ac.ir/article_3927.html
&lrm;There exists a one to one correspondence between higher derivations $\{d_n\}_{n=0}^\infty$ on an algebra $\mathcal{A}$ and the family of sequences of derivations $\{\delta_n\}_{n=1}^\infty$ on $\mathcal{A}$&lrm;. &lrm;In this paper&lrm;, &lrm;we obtain a relation that calculates each derivation $ \delta_n (n \in \mathbb{N})$ directly as a linear combination of products of terms of the corresponding higher derivation $\{d_n\}_{n=0}^\infty$&lrm;. &lrm;Also&lrm;, &lrm;we find the general form of the family of inner derivations corresponding to an inner higher derivation&lrm;. &lrm;We show that for every two higher derivations on an algebra $\mathcal{A}$&lrm;, &lrm;the product of them&lrm;, &lrm;is a higher derivation on $\mathcal{A}$&lrm;. &lrm;Also&lrm;, &lrm;we prove that the product of two inner higher derivations&lrm;, &lrm;is an inner higher derivation&lrm;.An overview of diabetes diagnosis methods on the Pima Indian dataset
https://jmmrc.uk.ac.ir/article_3936.html
In recent years, data mining and machine learning methods in the medical field have received much attention and have optimized many complex issues in the medical field. One of the problems facing researchers is the appropriate dataset, and the suitable dataset on which different methods of data mining and machine learning can be applied is rarely found. One of the most reliable and appropriate datasets in the field of diabetes diagnosis is the Indian Survey Database. In this article, we have tried to review the methods that have been implemented in recent years using machine learning classification algorithms on this data set and compare these methods in terms of evaluation criteria and feature selection methods. After comparing these methods, it was found that models that used feature selection methods were more accurate than other approaches.A note on $2$-plectic vector spaces
https://jmmrc.uk.ac.ir/article_3939.html
Among the $2$-plectic structures on vector spaces, the canonical ones and the $2$-plectic structures induced by the Killing form on semisimple Lie algebras are more interesting. In this note, we show that the group of linear preservers of the canonical $2$-plectic structure is noncompact and disconnected and its dimension is computed. Also, we show that the group of automorphisms of a compact semisimple Lie algebra preserving its $2$-plectic structure, is compact. Furthermore, it is shown that the $2$-plectic structure on a semisimple Lie algebra $\mathfrak{g}$ &nbsp;is canonical if and only if it has an abelian Lie subalgebra whose dimension satisfies in a special condition. As a consequence, we conclude that the $2$-plectic structures induced by the Killing form on some important classical Lie algebras are not canonical.Structure of finite groups with some weakly $S$-semipermutable subgroups
https://jmmrc.uk.ac.ir/article_3942.html
Let $ G $ be a finite group. If $ A\leq G $, recall that $ A $ is &nbsp;weakly $S$-semipermutable &nbsp;in $G$ provided there is $K\unlhd G$ such that &nbsp; $KA$ is $S$-permutable in $G$, and &nbsp;$K\cap A$ is $S$-semipermutable in $G$. The purpose of this paper is to demonstrate that weakly $S$-semipermutability of special types of subgroups in a finite group $ G $ can help us to determine &nbsp;structural properties of $ G $. For example, given a prime $p$, a $p$-soluble finite group $G$ and a Sylow $p$-subgroup $G_{p}$ of $G$, we will show that $G$ is $p$-supersoluble if the maximal subgroups of $G_{p}$ are weakly $S$-semipermutable in $ G$. Moreover, we use the concept of weakly $S$-semipermutability to prove new criteria for $p$-nilpotency of finite groups.A multi-objective optimization approach for online streaming feature selection using fuzzy Pareto dominance
https://jmmrc.uk.ac.ir/article_3943.html
Feature selection is one of the most important tasks in machine learning. Traditional feature selection methods are inadequate for reducing the dimensionality of online data streams because they assume that the feature space is fixed and every time a feature is added, the algorithm must be executed from the beginning, which in addition to not performing real-time processing, causes many unnecessary calculations and resource consumption. In many real-world applications such as weather forecasting, stock markets, clinical research, natural disasters, and vital-sign monitoring, the feature space changes dynamically, and feature streams are added to the data over time. Existing online streaming feature selection (OSFS) methods suffer from problems such as high computational complexity, long processing time, sensitivity to parameters, and failure to account for redundancy between features. In this paper, the process of OSFS is modeled as a multi-objective optimization problem for the first time. When a feature stream arrives, it is evaluated in the multi-objective space using fuzzy Pareto dominance, where three feature selection methods are considered as our objectives. Features are ranked according to their degree of dominance in the multi-objective space over other features. We proposed an effective method to select a minimum subset of features in a short time. Experiments were conducted using two classifiers and eight OSFS algorithms with real-world datasets. The results show that the proposed method selects a minimal subset of features in a reasonable time for all datasets.Some results on commutative BI-Algebras
https://jmmrc.uk.ac.ir/article_3944.html
&lrm;The notion of a (branchwise) commutative $BI$-algebra is presented, and some related properties are investigated. We show that the class of commutative $BH$-algebras is broader than the class of commutative $BI$-algebras. Moreover, we %show that prove every&nbsp; singular $BI$-algebra is a $BH$-algebra. Also, we define the&nbsp; commutative ideals in $BI$-algebras and characterize the commutative $BI$-algebras in terms of commutative ideals.Some codes and designs invariant under the groups $S_7$ and $S_8$
https://jmmrc.uk.ac.ir/article_3947.html
We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they are invariant under the full automorphism groups $S_8$ and $S_7$, respectively. Moreover, designs with parameters 1-$(21,l,k_{1,l})$ and 1-$(35,l,k_{2,l})$ are obtained, where $\omega$ is a codeword, $l=wt(\omega)$, $k_{1,l}=l|\omega^{S_7}|/21$ and $k_{2,l}=l|\omega^{S_7}|/35$. It is seen that there exist a 2-$(21,5,12)$ design with the full automorphism group $S_7$ among these 1-designs.Index rank-$k$ numerical range of matrices
https://jmmrc.uk.ac.ir/article_3949.html
We introduce the $\alpha-$higher rank form of the matrix numerical range, which is a special case of the matrix polynomial version of higher rank numerical range. We also, investigate some algebraic and geometrical properties of this set for general and nilpotent matrices. Some examples to confirm the results are brought.Extended tabu search-based scheduling to improve profitability in heterogeneous parallel systems
https://jmmrc.uk.ac.ir/article_3950.html
Higher utilization of existing resources and facilities in order to increase efficiency and profitability is always one of the basic challenges for parallel processing systems and environments, and this challenge becomes more complicated when the system resources are heterogeneous. One way to achieve high efficiency and profitability of heterogeneous parallel systems is to schedule tasks optimally. In this paper, an extended tabu search-based scheduling algorithm (ESTS) is presented to improve the profitability of heterogeneous parallel systems, which can achieve suitable solutions in a short computational time. To evaluate the efficiency of the proposed solution, due to the lack of a suitable criterion to evaluate this problem, the obtained results are compared with both the results of an extended scheduling based on a genetic algorithm (ESGA) with a large number of chromosomes and a high number of generations, as well as an extended scheduling based on a simulated annealing algorithm (ESSA) with a linear temperature reduction. The benchmark files of different sizes were tested under the same conditions, and the comparison of results shows the superiority of the proposed solution in terms of profitability and computational time.Weak convergence of fixed point iterations in $S$-metric spaces
https://jmmrc.uk.ac.ir/article_3951.html
This paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of contractions on S-metric spaces are obtained. In addition, an example is presented to demonstrate our primary result.On the power of Gini index-based goodness-of-fit test for the Inverse Gaussian distribution
https://jmmrc.uk.ac.ir/article_4052.html
The Inverse Gaussian distribution finds application in various fields, such as finance, survival analysis, psychology, engineering, physics, and quality control. Its capability to model skewed distributions and non-constant hazard rates makes it a valuable tool for understanding a wide range of phenomena. In this paper, we present a goodness-of-fit test specifically designed for the Inverse Gaussian distribution. Our test uses an estimate of the Gini index, a statistical measure of inequality. We provide comprehensive details on the exact and asymptotic distributions of the newly developed test statistic. To facilitate the application of the test, we estimate the unknown parameters of the Inverse Gaussian distribution using maximum likelihood estimators. Monte Carlo methods are utilized to determine the critical points and assess the actual sizes of the test. A power comparison study is conducted to evaluate the performance of existing tests. Comparing its powers with those of other tests, we demonstrate that the Gini index-based test performs favorably. Finally, we present a real data analysis for illustrative purposes.Orthogonal bases in specific generalized symmetry classes of tensors
https://jmmrc.uk.ac.ir/article_4147.html
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda$. In this paper, we prove the existence of orthogonal bases consisting of generalized decomposable symmetrized tensors for the generalized symmetry classes of tensors associated with unitary irreducible representations of group $U_{6n}$, as well as dihedral and dicyclic groups.A criterion for $p$-solvability of finite groups, where $p=7$ or $11$
https://jmmrc.uk.ac.ir/article_4149.html
For a finite group $G$, define $ \psi^{\prime \prime}(G)=\psi(G)/|G|^2 $, where $\psi(G)=\sum_{g\in G}o(g)$ and $o(g)$ denotes the order of $g \in G $. &nbsp;In this paper, we give a criterion for $p$-solvability by the function &nbsp;$\psi''$, where $ p \in \{7, &nbsp;11\} $. We prove that if $ G $ is a &nbsp;finite group and $\psi''(G)&gt;\psi''({\rm PSL}(2, p))$, where $p \in \{7, 11\}$, then $G$ is a $p$-solvable group.Interval type-2 fuzzy linear programming problem with vagueness in the resources vector
https://jmmrc.uk.ac.ir/article_4170.html
One of the special cases of type-2 fuzzy sets are the interval type-2 fuzzy sets, which are less complicated and easier to understand than T2FSs. In this study, we explore the interval type-2 fuzzy linear programming problem with the resources vector that have imprecision of the vagueness type. These types of vagueness are expressed via membership functions. First, we review the three available methods, including the Figueroa and Sarani methods. Then, using the three ideas of Verdegay, Werners, and Guu and Wu for solving fuzzy linear programming problems with vagueness in the resources vector, we propose three new methods for solving interval type-2 fuzzy linear programming problems with vagueness in the resources vector. Finally, we demonstrate the effectiveness of our proposed methods by solving an example and comparing the results obtained with each other and with those of previous methods.A note On 2-prime ideals
https://jmmrc.uk.ac.ir/article_4177.html
Let $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $P$ of $R$ and positive integer $\alpha$. We give some results of ring $R$ in which every ideal $I$ is 2-prime. Finally, we define almost 2-prime, almost 2-primary and weakly 2-primary ideals, and investigate some properties of these ideals.Effect of blood perfusion on thermal therapy in multilayer skin by semigroups approach
https://jmmrc.uk.ac.ir/article_4178.html
A semi-analytical solution is proposed for the bioheat equation, which includes the epidermis, dermis, and hypodermis layers in the presence of a surface pulsed heat source. A switching time surface heating/cooling source, which has therapeutic applications in human tissue burning, is used. The interface temperature is calculated by matching the temperature and heat flux between two adjacent layers. A high-performance computing algorithm is designed and implemented by combining semigroups theory, Laplace transform, and convolution operators in each layer. It is proved that proposed solution is consistent, convergent and stable. The reliability, performance and efficiency of semi-analytical solutions are compared using the bioheat transfer module of COMSOL software based on standard finite element methods. Numerical results for three different medical examples are given. Influences of blood pressure on temperature along the layered skin for different switching and final times are discussed.Algebra fuzzy norms generated by homomorphisms
https://jmmrc.uk.ac.ir/article_4179.html
&lrm;&lrm;&lrm;As a new approach, for a nonzero normed algebra $A$, we will define some different classes of algebra fuzzy norms on $A$ generated by homomorphisms and continuous homomorphisms. Also as a source of examples and counterexamples in the field of fuzzy normed algebras, separate continuity of the elements within each class are investigated.IGMRES method for linear systems
https://jmmrc.uk.ac.ir/article_4194.html
The Index Generalized Minimal RESidual (IGMRES) algorithm is designed to compute the Drazin-inverse solution of a linear system of equations $Ax=b$, where $A$ is an arbitrary square matrix with index $\gamma$. If $\gamma=0$, then the this method method coincide with Generalized Minimal RESidual (GMRES) method. Also, the {$k^{th}$} ideal index generalized minimal residual polynomial of $A$ is introduced and the roots of these polynomials are studied. Moreover, by numerical results the convergence rate of these methods are compared by two examples.Distributional Nikulin-Rao-Robson validity under a novel gamma extension with characterizations and risk assessment
https://jmmrc.uk.ac.ir/article_4215.html
In this work, a novel probability distribution is introduced and studied. Some characterizations are presented. Several financial risk indicators, such as the value-at-risk, tail-valueat-risk, tail variance, tail Mean-Variance, and mean excess loss function are considered under the maximum likelihood estimation, the ordinary least squares, the weighted least squares, and the Anderson Darling estimation methods. These four methods were applied for the actuarial evaluation under a simulation study and under an application to insurance claims data. For distributional validation under the complete data, the well-known Nikulin-Rao-Robson statistic is considered. The Nikulin-Rao-Robson test statistic is assessed under a simulation study and under three complete real data sets. For censored distributional validation, a new version of the Nikulin-Rao-Robson statistic is considered. The new Nikulin-Rao-Robson test statistic is assessed under a comprehensive simulation study and under three censored real data sets.J-hyperideals and related generalizations in multiplicative hyperrings
https://jmmrc.uk.ac.ir/article_4252.html
&lrm;In this paper&lrm;, &lrm;we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals&lrm;. &lrm;A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$&lrm;, &lrm;then either $x \in J(R)$ or $y \in I$&lrm;. &lrm;We study and investigate the behavior of the $J$-hyperideals to introduce several results&lrm;. &lrm;Moreover&lrm;, &lrm;we extend the notion of $J$-hyperideals to quasi $J$-hyperideals and 2-absorbing $J$-hyperideals&lrm;. &lrm;Various characterizations of them are provided&lrm;.A novel method for solving fuzzy parabolic PDE by using the SG-Hukuhara differentiability
https://jmmrc.uk.ac.ir/article_4253.html
In this paper, the method of Crank-Nicolson is proposed for approximating the solution of &nbsp;a fuzzy parabolic PDE by applying the subject of &nbsp;SG-Hukuhara differentiability where the initial and boundary conditions are fuzzy numbers. The consistency and stability of this method are investigated and finally, &nbsp;a non-trivial example is given by this method.Extended block Hessenberg method for large-scale Sylvester differential matrix equations
https://jmmrc.uk.ac.ir/article_4254.html
In this paper, we consider large-scale low-rank Sylvester differential matrix equations. We present two iterative methods for the approximate solution of such differential matrix equations. In the first method, exploiting the extended block Krylov method, we approximate the exponential matrix in the exact solution. In the second method, we first project the initial value problem onto an extended block Krylov subspace and acquire a low-dimensional low-rank Sylvester differential matrix equation. Then the reduced Sylvester differential matrix equation is solved by the backward differentiation formula method (BDF) and the derived solution is used to construct the low-rank approximate solution of the original initial value problem. The iterative approaches are followed until some certain accuracy is obtained. We give some theoretical results and some numerical examples to show the efficiency of the proposed methods.A new entropy estimator and its application to goodness of fit test for Weibull distribution
https://jmmrc.uk.ac.ir/article_4255.html
In this article, we introduce a new estimator of entropy of continuous random variable. Bias, variance and the mean squared error of the new estimator are obtained and compared with the other existing estimators. The results show that the proposed estimator has a lower mean squared error than its competitors. Then, we propose some goodness of fit tests for Weibull distribution based on the entropy estimators. To assess the effectiveness of the proposed tests, we utilize Monte Carlo simulation to evaluate their power against eighteen different alternatives with varying sample sizes. The results show that the tests are powerful and we can use them in practice. Finally, two real datasets are considered and modeled by the Weibull distribution.The cyclic-Fibonacci hybrid sequence in groups
https://jmmrc.uk.ac.ir/article_4256.html
The aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo $m$, the method will be given to determine the period lengths of this sequence according to the different $m$ values. In the final part of this paper, we study the cyclic-Fibonacci hybrid sequence in groups and then we calculate the cyclic-Fibonacci hybrid lengths of polyhedral groups $(2,2,2)$, $(2,n,2)$ and $(n,2,2)$ as applications of the results produced.The evolution of binary system from predynastic Egypt to Leibniz era
https://jmmrc.uk.ac.ir/article_4266.html
Egyptians of the predynastic era had a good decimal number system for counting and addition. Although, up to some times, they had problem in counting beyond a million, by the dawn of their history, Narmer, the founder of the first Egyptian dynasty had accountants that could record 400,000 cows and 1,422,000 goats of a war booty. Except for some ambiguities in the case of Mayan number system, specialists in the history of mathematics can guess that &nbsp;how the counting system of the various civilizations evolved into one of the number systems in base 10, 20, 60, etc. There is a puzzle in the mixture of the &nbsp;Egyptian decimal and binary number systems which we are going to discuss and present a justification for it. The novelty of the present paper is the study of the evolution of the binary number system from the predynastic Egypt down to the Leibniz era who, by the benefit of &nbsp;Khwarazmi's &nbsp;"Indian Arithmetics," &nbsp;completed this evolution by representing integers in $0-1$ forms and performing the hybrid decimal/binary Egyptian arithmetic operations purely inside the $0-1$ system. The second author is pleased to dedicate his share of this paper to &nbsp;Esfandiar Eslami &nbsp;showing &nbsp;his love and appreciation for decades of his friendship and collaboration (since 1967) and, of course, the young coauthor joins the joy of this dedication to her former professor.A hybrid Chelyshkov wavelet-finite differences method for time-fractional black-Scholes equation
https://jmmrc.uk.ac.ir/article_4304.html
In this paper, a hybrid method for solving time-fractional Black-Scholes equation is introduced for option pricing. The presented method is based on time and space discretization. A second order finite difference formula is used to time discretization and space discretization is done by a spectral method based on Chelyshkov wavelets and an operational process by defining Chelyshkov wavelets operational matrices. Convergence and error analysis for Chelyshkov wavelets approximation and also for the proposed method are discussed. The method is validated and its accuracy, convergency and efficiency are demonstrated through some cases with given accurate solutions. The method is also utilize for pricing various European options conducted by a time-fractional Black-Scholes modelEliminating congestion of decision-making units using inverse data envelopment analysis
https://jmmrc.uk.ac.ir/article_4305.html
This survey proposes a new application of the inverse data envelopment analysis (InvDEA) in the problem of merging decision-making units (DMUs) to improve the performance of DMUs by removing congestion. Congestion is a factor in reducing production; therefore, removing it decreases costs and increases outputs. There are two significant subjects in the merging DMUs. Estimating the inherited inputs and outputs of a new production DMU with no congestion is the first problem while achieving a pre-specified efficiency level from the merged DMU is the second one. Both problems are examined using the ideas of inverse DEA and congestion. Using Pareto solutions to multiple-objective programming problems, sufficient conditions for inherited input/output estimates with no congestion and increasing efficiency are created. Besides, an example is perused for the reliability of the proposed approach in basic research institutes in the Chinese Academy of Science (CAS) in 2010.Generalized total time on test transform for weighted variables, properties and applications
https://jmmrc.uk.ac.ir/article_4307.html
In this article, the generalized &nbsp;total &nbsp;time on test transform and some related transforms for weighted variables are stated. Their characteristics and relationship with each other have been considered and also these transforms have been investigated in the weighted mode from the point of view of stochastic orders. Also, by presenting graphs of generalized total time on test transform &nbsp; for some common weight functions, its behavior with respect to the weighted function is studied. Then the relationship of this transform with its initial state is expressed. In the following, the topic under discussion is explained with some practical examples. Then providing a comprehensive exploration of the applications of the studied transforms within the domains of insurance and reliability. By delving into these practical contexts, we gain valuable insights into how these mathematical tools can be effectively utilized to address complex challenges in risk assessment, decision-making, and resource allocation. Additionally, the examination of the NBU class of distributions offers a deeper understanding of their behavior, shedding light on their relevance and applicability in various statistical analyses.&nbsp; &nbsp; Finally, the article concludes with a detailed discussion of a specific real dataset, offering a concrete demonstration of how the topic under study can be applied in practice.Analyzing skewed financial data using skew scale-shap mixtures of multivariate normal distributions
https://jmmrc.uk.ac.ir/article_4310.html
This paper introduces an innovative family of statistical models called the multivariate skew scale-shape mixtures of normal distributions. These models serve as a versatile tool in statistical analysis by efficiently characterizing the skewed and leptokurtic nature commonly observed in multivariate datasets. Their applicability shines in real-world scenarios where data often deviate from standard statistical assumptions due to the presence of outliers. We present an EM-type algorithm designed for maximizing likelihood estimation and evaluate the model's effectiveness through real-world data applications. Through rigorous testing against various datasets, we assess the performance and practicality of the proposed algorithm in real statistical scenarios. The results demonstrate the remarkable performance of this new family of distributions.Equalizer in the Kleisli category of the $n$-fuzzy powerset monad
https://jmmrc.uk.ac.ir/article_4320.html
In this article, we first consider the $L$-fuzzy powerset monad on a completely distributive lattice $L$. Then for $L=[n]$, we investigate the fuzzy powerset monad on $[n]$ and we introduce simple, subsimple and quasisimple $L$-fuzzy sets. Finally, we provide necessary and sufficient conditions for the existence of an equalizer of a given pair of morphisms in the Kleisli category associated to this monad. Several illustrative examples are also provided.