Journal of Mahani Mathematical Research
https://jmmrc.uk.ac.ir/
Journal of Mahani Mathematical Researchendaily1Tue, 01 Nov 2022 00:00:00 +0330Tue, 01 Nov 2022 00:00:00 +0330$(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters
https://jmmrc.uk.ac.ir/article_3257.html
The aim of this article is to apply a $(3,2)$-fuzzy set to the UP-subalgebras and UP-filters of UP-algebras. The concepts of $(3,2)$-fuzzy UP-subalgebra, $(3,2)$ -fuzzy near UP-filter and $(3,2)$ -fuzzy UP-filter in UP-algebras are introduced and&nbsp; several properties, including their relations, are investigated. The conditions under which the $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$ -fuzzy near UP-filter$)$ can be the $(3,2)$-fuzzy near UP-filter $($resp., $(3,2)$-fuzzy UP-filter$)$ are searched. The characterizations of $(3,2)$-fuzzy UP-filter is provided and the relationship between intuitionistic fuzzy UP-subalgebra and $(3,2)$-fuzzy UP-subalgebra is discussed. We use fuzzy UP-subalgebra $($resp., fuzzy near UP-filter, fuzzy UP-filter$)$ to create a $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$-fuzzy near UP-filter, $(3,2)$-fuzzy UP-filter$)$.The Design of Generalized Likelihood Ratio Control Chart for Monitoring the von Mises Distributed Data
https://jmmrc.uk.ac.ir/article_3277.html
&lrm;In this paper&lrm;, &lrm;a new generalized likelihood ratio (GLR) control chart based on sequentially probability ratio test (SPRT) is introduced to monitor the directional mean of von Mises distribution&lrm;. &lrm;Different window size of past samples are utilized to construct the GLR chart statistic&lrm;, &lrm;and the performance of this chart in detecting a wide range of parameter shift is evaluated&lrm;. &lrm;A simulation study is carried out to investigate the performance of the proposed control chart in comparison with cumulative sum (CUSUM) control chart&lrm;. &lrm;To guide practitioners&lrm;, &lrm;a real example is provided&lrm;.On the Properties of Formal Local Cohomology Modules
https://jmmrc.uk.ac.ir/article_3357.html
Let&nbsp; $(R,m)$ be a commutative Noetherian local ring, $a$ an ideal of $R$. Let $t\in\Bbb N_0$ be an integer and $M$ a finitely generated $R$-module such that the $R$-module $\mathfrak{F}^i_{\mathfrak{a}}(M)$ is $\mathfrak{a}$-cominimax for all $i&lt;t$. We prove that For all minimax submodules $N$ of $\mathfrak{F}^i_{\mathfrak{a}}(M)$, the $R$-modules \[ Hom_R(R/\mathfrak{a},\mathfrak{F}^t_{\mathfrak{a}}(M)/N)\hspace{5mm} and \hspace{5mm}Ext^1_R(R/\mathfrak{a},\mathfrak{F}^t_{\mathfrak{a}}(M)/N) \]&nbsp; are minimax. In particular, the set $Ass_R(\mathfrak{F}^t_{\mathfrak{a}}(M)/N)$ is finite.A characterization of skew $b$-derivations in prime rings
https://jmmrc.uk.ac.ir/article_3358.html
Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential identities. Further, we provide an example to show that the assumed restrictions cannot be relaxed.An application of s-elementary wavelets in numerical solution of differential and fractional integral equations
https://jmmrc.uk.ac.ir/article_3260.html
In this article we introduce wavelet sets and consider a special wavelet set in R. We build a basis associated to this type wavelet sets and use operational matrix of this basis to solve nonlinear Riccati differential equations and Riemann-Liouville fractional integral equations of order $\alpha &gt;0$, numerically. Convergence analysis of this basis is investigated. Also, we give examples that show the accuracy of the new method by comparing it with previous methods.Rényi Entropies of Dynamical Systems: A Generalization Approach
https://jmmrc.uk.ac.ir/article_3311.html
Entropy measures have received considerable attention in quantifying the structural complexity of real-world systems and are also used as measures of information obtained from a realization of the considered experiments. In the present study, new notions of entropy for a dynamical system are introduced. The R&eacute;nyi entropy of measurable partitions of order and its conditional version are defined, and some important properties of these concepts are studied. It is shown that the Shannon entropy and its conditional version for measurable partitions can be obtained as the limit of their R&eacute;nyi entropy and conditional R&eacute;nyi entropy. In addition, using the suggested concept of R&eacute;nyi entropy for measurable partitions, the R&eacute;nyi entropy for dynamical systems is introduced. It is also proved that the R&eacute;nyi entropy for dynamical systems is invariant under isomorphism.On skew power series over McCoy rings
https://jmmrc.uk.ac.ir/article_3359.html
Let $R$ be a ring with an endomorphism $\alpha$&lrm;. &lrm;A ring $R$ is a skew power series McCoy ring if whenever any non-zero power series $f(x)=\sum_{i=0}^{\infty}a_ix^i,g(x)=\sum_{j=0}^{\infty}b_jx^j\in R[[x;\alpha]]$ satisfy $f(x)g(x)=0$&lrm;, &lrm;then there exists a non-zero element $c\in R$ such that $a_ic=0$&lrm;, &lrm;for all $i=0,1,\ldots$&lrm;. &lrm;We investigate relations between the skew power series ring and the standard ring-theoretic properties&lrm;. &lrm;Moreover&lrm;, &lrm;we obtain some characterizations for skew power series ring $R[[x;\alpha]]$&lrm;, &lrm;to be McCoy&lrm;, &lrm;zip&lrm;, &lrm;strongly \textit{AB} and has Property (A)&lrm;.Ant colony optimization with fuzzy-based ensemble of heuristics for ensemble feature selection
https://jmmrc.uk.ac.ir/article_3382.html
One of the crucial stages in machine learning in high-dimensional datasets is feature selection. Unrelated features weaknesses the efficiency of the model. However, merging several feature selection strategies is routine to solve this problem, the way to integrate feature selection methods is problematic. This paper presents a new ensemble of heuristics through fuzzy Type-I based on Ant Colony Optimization (ACO) for ensemble feature selection named Ant-EHFS. At first, three feature selection methods are run; then, the Euclidean Distance between each pair of features is computed as a heuristic (an M&times;M matrix is constructed), that M is the total of features. After that, a Type-I fuzzy is used individually to address various feature selections' uncertainty and estimate trustworthiness for each feature, as another heuristic. A complete weighted graph based on combining the two heuristics is then built; finally, ACO is applied to the complete graph for finding features that have the highest relevance together in the features space, which in each ant considers the reliability rate and Euclidean Distance of the destination node together for moving between nodes of the graph. Five and eight robust and well-known ensemble feature selection methods and primary feature selection methods, respectively, have been compared with Ant-EHFS on six high-dimensional datasets to show the proposed method's performance. The results have shown that the proposed method outperforms five ensemble feature selection methods and eight primary feature selections in Accuracy, Precision, Recall, and F1-score metrics.On hyperideals of Krasner hyperrings based on derived unitary rings
https://jmmrc.uk.ac.ir/article_3280.html
In this paper first, we introduce and analyze the strongly regular relations $\lambda^*_{e}$ and $\Lambda^*_{e}$ on a hyperring such that the derived quotient ring is unitary and unitary commutative, respectively. Next, we define and study the notion of $\lambda_e$-parts in a hyperring and &nbsp;characterize the $\lambda_e$-parts in a $\lambda_e$-strong hyperring $R$. Finally, we introduce the notion of $\lambda_e$-closed hyperideal in a hyperring and study some of its fundamental properties in Krasner hyperrings.On lower bounds for the metric dimension of graphs
https://jmmrc.uk.ac.ir/article_3323.html
&lrm;For an ordered set $W=\{w_1&lrm;, &lrm;w_2,\ldots,w_k\}$ of vertices and a&lrm; vertex $v$ in a connected graph $G$&lrm;, &lrm;the ordered&nbsp; $k$-vector&lrm; &lrm;$r(v|W)=(d(v,w_1),d(v,w_2),\ldots,d(v,w_k))$ is called the&lrm; &lrm;(metric) representation of $v$ with respect to $W$&lrm;, &lrm;where $d(x,y)$&lrm; &lrm;is the distance between the vertices $x$ and $y$&lrm;. &lrm;The set $W$ is&lrm; &lrm;called a resolving set for $G$ if distinct vertices of $G$ have&lrm; &lrm;distinct representations with respect to $W$&lrm;. &lrm;The minimum&lrm; &lrm;cardinality of a resolving set for $G$ is its metric dimension&lrm;, &lrm;and a resolving set of minimum cardinality is a basis of $G$&lrm;. &lrm;Lower bounds for metric dimension are important&lrm;. &lrm;In this paper&lrm;, &lrm;we investigate lower bounds for metric dimension&lrm;. &lrm;Motivated by a lower bound for the metric dimension $k$ of a graph&lrm; &lrm;of order $n$ with diameter $d$ in [S&lrm;. &lrm;Khuller&lrm;, &lrm;B&lrm;. &lrm;Raghavachari&lrm;, &lrm;and&lrm; &lrm;A&lrm;. &lrm;Rosenfeld&lrm;, &lrm;Landmarks in graphs&lrm;, &lrm;Discrete Applied Mathematics&lrm; &lrm;$70(3) (1996) 217-229$]&lrm;, &lrm;which states that $k \geq n-d^k$&lrm;, &lrm;we characterize&lrm; all graphs&lrm; &lrm;with this lower bound and obtain a new lower bound&lrm;. &lrm;This new bound is better than the previous one&lrm;, &lrm;for graphs with diameter more than $3$&lrm;.Some results on the open locating-total domination number in graphs
https://jmmrc.uk.ac.ir/article_3325.html
In this paper, we generalize the concept of an open locating-dominating set in graphs. We introduce a concept as an open locating-total dominating set in graphs that is equivalent to the open neighborhood locating-dominating set. A vertex set $S \subseteq V(G)$ is an open locating-total dominating if the set $S$ is a total dominating set of $G$ and for any pair of distinct vertices $x$ and $y$ in $V(G)$, $N(x) \cap S\neq N(y) \cap S$. The open locating-total domination number, denoted $\gamma_{t}^{OL}(G)$, of $G$ is the minimum cardinality of an open locating-total dominating set. In this paper, we determine the open locating-total dominating set of some families of graphs. Also, the open locating-total domination number is calculated for two families of trees. The present paper is an extended version of our paper, presented at the 52nd Annual Iranian Mathematics Conference, Shahid Bahonar University of Kerman, Iran, 2021.DSNAODV: Detecting Selfish Nodes based on Ad hoc On-demand Distance Vector routing protocol
https://jmmrc.uk.ac.ir/article_3310.html
In mobile ad hoc networks (MANETs), innumerable intermediate nodes interchange information without the need for infrastructure. In these networks, nodes depend upon each other for routing and forwarding packets, and communication among them is very important. Forwarding packets consumes network bandwidth, local CPU time, memory, and energy. Therefore, some nodes might intend not to forward packets to save resources for their use that called selfish nodes. The destruction of basic action of the network can occur due to this selfish behavior of the node. So, in this paper, we focused on dropper misbehavior for data packets and route request packets. For detecting this kind of nodes in this paper, we improved the ad hoc on-demand distance vector (AODV) routing protocol and proposed a new routing protocol for detecting selfish nodes. The performance analysis shows that the DSNAODV (Detecting Selfish Node based on Ad hoc On-demand Distance Vector routing protocol) protocol can improve the packet delivery ratio and use less energy compared to AODV and EBTS protocols.Languages of single-valued neutrosophic general automata
https://jmmrc.uk.ac.ir/article_3384.html
In this paper, we define the concepts of single-valued neutrosophic general automaton, complete and deterministic single-valued neutrosophic general automaton. We present a minimal single-valued neutrosophic general automaton that preserves the language for a given single-valued neutrosophic general automaton. Moreover, we present the closure properties such as union and intersection for single-valued neutrosophic general automata.Inference in Univariate and Bivariate Autoregressive Models with Non-Normal Innovations
https://jmmrc.uk.ac.ir/article_3328.html
&lrm;In this paper we consider the estimation, &lrm;order and model selection of autoregressive time series model which may be driven by non-normal innovations. &lrm;The paper makes two contributions. &lrm;First, &lrm;we consider the method of moments for a univariate and also a bivariate time series model; the importance of using the method of moments is that it can provide us with consistent estimates easily for any model order and for any kind of distribution that we can assume for the non-normal innovations&lrm;. &lrm;Second, &lrm;we provide methods for order and model selection, &lrm;i.e&lrm;. &lrm;for selecting the order of the autoregression and the model for the innovation's distribution. &lrm;Our analysis provides analytic results on the asymptotic distribution of the method of moments estimators and also computational results via simulations&lrm;. &lrm;Our results show that although the performance of modified maximum likelihood estimators is better than method of moments estimators when the sample size is small but both methods have approximately same performance as the sample size increase and in misspecification case. &lrm;Also It is shown that focussed information criterion is an appropriate criterion for model selection for autoregressive models with non-normal innovations based on the method of moments estimators.Positive implicative True-False ideals in BCK-algebras
https://jmmrc.uk.ac.ir/article_3324.html
In BCK-algebra, the concept of &nbsp;a positive implicative $T\&amp;F$-ideal is introduced, and further several properties are&nbsp; investigated. The relationship between &nbsp;$T\&amp;F$-ideals and &nbsp;positive implicative $T\&amp;F$-ideals is established, and an example is given to reveal that &nbsp;a $T\&amp;F$-ideal is not a positive implicative $T\&amp;F$-ideal. Various conditions under which &nbsp;a $T\&amp;F$-ideal can be a positive implicative $T\&amp;F$-ideal are explored and various characterizations of a positive&nbsp; implicative $T\&amp;F$-ideal are studied. The extended property of a positive implicative $T\&amp;F$-ideal is constructed.Analytical expression for the exact curved surface area and volume of hyperboloid of two sheets via Mellin-Barnes type contour integration
https://jmmrc.uk.ac.ir/article_3397.html
In this article, we aim at obtaining the analytical expression (not previously found and recorded in the literature) for the exact curved surface area of a hyperboloid of two sheets in terms of Appell's double hypergeometric function of second kind and triple hypergeometric function of Srivastava. The derivation is based on Mellin-Barnes type contour integral representations of generalized hypergeometric function$~_pF_q(z)$, &nbsp;Meijer's $G$-function and series manipulation technique. Further, we also obtain the formula for the volume of hyperboloid of two sheets. The closed forms for the exact curved surface area and volume of the hyperboloid of two sheets are also verified numerically by using&nbsp; Mathematica Program.On Kronecker Product Of Two RL-graphs And Some Related Results
https://jmmrc.uk.ac.ir/article_3341.html
Using the kronecker product definition of two simple graphs, the kronecker product of two RL-graphs was defined and is defined and it is further shown to be an RL-graph. Consequently, it is demonstrated that the kronecker product of two RL-graphs is commutative properties (i.e G⨂H = H⨂G). It is also stated that the kronecker product of two strong RL- graphs is a strong RL-graph but not necessarily vice-versa. It is bounded &alpha; and &beta; of the kronecker product of two RL-graphs by &alpha; and &beta; of its constituent graphs, respectively. Moreover, if H is an RL-graph, and G and G' are two isomorphic RL-graphs, then the kronecker product of G and H and the kronecker product of G' and H are isomorphic RLgraphs.In addition, some notions such as regular RL-graphs, &alpha;-regular RL-graphs, and totally regular RL-graphs are proposed and explicated. One application of this operation, which has determined and estimated the group, having the maximum efficiency work among its members, is also suggested. Finally, it is brought one application of this operation that is&nbsp; determined and estimated the group that has the maximum interact among its members. Ultimately, in light of the&nbsp; above, some related theorems are proved and several examples are provided to illustrate these new notions.The fuzzy D'Alembert solutions of the fuzzy wave equation under generalized differentiability
https://jmmrc.uk.ac.ir/article_3330.html
In this paper, a one-dimensional homogeneous fuzzy wave equation is solved with an analytical procedure using the fuzzy D&rsquo;Alembert method by considering the generalized differentiability. Then, some definitions related to fuzzy numbers, theorems, and used lemmas are given. Additionally, the physical interpretation and dependency domain of fuzzy wave solutions are investigated by providing examples, where the fuzzy wave solutions are in the form of fuzzy standing, traveling, and recursive waves.Infinite minimal half synchronizing
https://jmmrc.uk.ac.ir/article_3403.html
&lrm;&lrm;Synchronized systems&lrm;, &lrm;has attracted much attention in 1986 by F. Blanchard and G. Hansel, and extension of them has been of interest since that notion was introduced in 1992 by D. Fiebig and U. Fiebig. &lrm;One was via half synchronized systems; that is&lrm;, &lrm;systems having half synchronizing blocks&lrm;. &lrm;In fact&lrm;, &lrm;if for a left transitive ray such as $\ldots x_{-1}x_{0}m$ and $mv$ any block in $X$ one has again $\ldots x_{-1}x_{0}mv$ a left ray in $X$&lrm;, &lrm;then $m$ is called half synchronizing. &lrm;A block $m$ is minimal (half-)synchronizing, &lrm;whenever $w \varsubsetneq m$&lrm;, &lrm;$w$ is not (half-)synchronizing&lrm;. &lrm;Examples with $\ell$ minimal (half-)synchronizing blocks has been given for $0\leq \ell\leq \infty$&lrm;.&lrm;&lrm; &lrm;&lrm;&lrm;To do this we consider a $\beta$-shift and will replace 1 with some blocks $u_i$&lrm; &lrm;to have countable many new systems&lrm;. &lrm;Then&lrm;, &lrm;we will merge them&lrm;.&lrm;BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS FOR HIGHER-ORDER KIRCHHOFF-TYPE EQUATIONS WITH VARIABLE EXPONENTS
https://jmmrc.uk.ac.ir/article_3344.html
This paper is concerned with the blow-up and global existence of solutions for Higher-Order Kirchhoff-Type Equations with variable exponents. Under suitable assumptions, we prove some finite time blow-up results for certain solutions with positive initial energy by using a concavity-type method. This work improves and generalizes several interesting recent blow-up results on wave equations in particular on Kichhoff-type equations. We also show the global existence of solutions under appropriate conditions.Reticulation of Quasi-commutative Algebras
https://jmmrc.uk.ac.ir/article_3405.html
The commutator theory, developed by Fresee and McKenzie in the framework of a congruence-modular variety $\mathcal{V}$, allows us to define the prime congruences of any algebra $A\in \mathcal{V}$ and the prime spectrum $Spec(A)$ of $A$. The first systematic study of this spectrum can be found in a paper by Agliano, published in Universal Algebra (1993).The reticulation of an algebra $A\in \mathcal{V}$ is a bounded distributive algebra $L(A)$, whose prime spectrum (endowed with the Stone topology) is homeomorphic to $Spec(A)$ (endowed with the topology defined by Agliano). In a recent paper, C. Mure\c{s}an and the author defined the reticulation for the algebras $A$ in a semidegenerate congruence-modular variety $\mathcal{V}$, satisfying the hypothesis $(H)$: the set $K(A)$ of compact congruences of $A$ is closed under commutators. This theory does not cover the Belluce reticulation for non-commutative rings. In this paper we shall introduce the quasi-commutative algebras in a semidegenerate congruence-modular variety $\mathcal{V}$ as a generalization of the Belluce quasi-commutative rings. We define and study a notion of reticulation for the quasi-commutative algebras such that the Belluce reticulation for the quasi-commutative rings can be obtained as a particular case. We prove a characterization theorem for the quasi-commutative algebras and some transfer properties by means of the reticulation.Recognition of the direct products of Suzuki groups by their complex group algebras
https://jmmrc.uk.ac.ir/article_3333.html
Denote by $\widehat{p_n}$, the largest prime among the primitive prime divisors of $ 2^{2n+1}-1 $ and $ 2^{2(4n+2)}-1 $, where $n\in {\Bbb N}$. In this paper, we prove that if $ q=2^{2n+1}\geq8 $ and $\alpha \leq \widehat{p_n}$, then the direct product of $ \alpha $ copies of $ {\rm Sz}(q)$ is uniquely determined by its complex group algebra.$\gamma$- BCK algebras
https://jmmrc.uk.ac.ir/article_3360.html
We know that $\Gamma-$ring, $\Gamma-$incline, $\Gamma-$semiring, $\Gamma-$semigroup are generalizations ofring, incline, semiring and semigroup respectively. In this paper, we introduce the concept of $\Gamma-$BCK-algebras as a generalization of BCK-algebras and study $\Gamma-$BCK-algebras. We also introduce subalgebra, ideal, closed ideal, normal subalgebra, normal ideal and construct quotient of $\Gamma-$BCK-algebras. We prove that if $f: M\to L$ be a normal homomorphism of $\Gamma-$BCK-algebras $M$ and $N,$ then $\Gamma-$BCK-algebra $M/N$ is isomorphic to $Im (f)$ where $N =Ker (f).$Metallic structures on tangent bundles of Lorentzian para-Sasakian manifolds
https://jmmrc.uk.ac.ir/article_3335.html
Let M be a Lorentzian para-Sasakian manifold with a Lorentzian para-Sasakian structure (&phi;,&eta;,&xi;,g). In this paper, we introduce some metallic structures on tangent bundle of the manifold M using vertical, horizontal and complete lifts of the Lorentzian para-Sasakian structure (&phi;,&eta;,&xi;,g) and investigate their parallelity. We also consider fundamental 2-forms and try to find conditions under which these 2-forms are closed.A note on sum formulas $\sum_{k=0}^{n}kx^{k}W_{k}$ and $\sum_{k=1}^{n}kx^{k}W_{-k}$ of generalized Hexanacci numbers
https://jmmrc.uk.ac.ir/article_3408.html
In this paper, closed forms of the sum formulas $ \sum_{k=0}^{n}kx^{k}W_{k} $ and $ \sum_{k=1}^{n} kx^{k}W_{- k} $ for generalized Hexanacci numbers are presented. As special cases, we give summation formulas of Hexanacci, Hexanacci-Lucas, and other sixth-order recurrence sequences. GKRR: A gravitational-based kernel ridge regression for software development effort estimation
https://jmmrc.uk.ac.ir/article_3361.html
Software Development Effort Estimation (SDEE) can be interpreted as a set of efforts to produce a new software system. To increase the estimation accuracy, the researchers tried to provide various machine learning regressors for SDEE. Kernel Ridge Regression (KRR) has demonstrated good potentials to solve regression problems as a powerful machine learning technique. Gravitational Search Algorithm (GSA) is a metaheuristic method that seeks to find the optimal solution in complex optimization problems among a population of solutions. In this article, a hybrid GSA algorithm is presented that combines Binary-valued GSA (BGSA) and the real-valued GSA (RGSA) in order to optimize the KRR parameters and select the appropriate subset of features to enhance the estimation accuracy of SDEE. Two benchmark datasets are considered in the software projects domain for assessing the performance of the proposed method and similar methods in the literature. The experimental results on Desharnais and Albrecht datasets have confirmed that the proposed method significantly increases the accuracy of the estimation comparing some recently published methods in the literature of SDEE.The Complete Classification of Quarter-Symmetric Magnetic Curves in S-manifolds
https://jmmrc.uk.ac.ir/article_3337.html
In this paper, we consider $S$-manifolds endowed with a quarter-symmetric metric connection. We obtain the condition for a curve to be magnetic with respect to this connection. We show that quarter-symmetric magnetic curves are $\theta _{\alpha }-$slant curves of osculating order $r\leq 3$ with constant quarter-symmetric curvature functions. Finally, we give the classification theorem.Equalizers and Coequalizers in the Category of Topological Molecular Lattices
https://jmmrc.uk.ac.ir/article_3339.html
A completely distributive complete lattice is called a molecular lattice. It is well known that the category TML of all topological molecular lattices with generalized order homomorphisms in the sense of Wang, is both complete and cocomplete. In this note, we give an example which shows that the structure of equalizers introduced by Zhao need not be true, in general. In particular, we present the structures of equalizers, coequalizers, monomorphisms and epimorphisms in this category.Groups with some central automorphisms fixing the central kernel quotient
https://jmmrc.uk.ac.ir/article_3421.html
Let $G$ be a group. An automorphism $\alpha$ of a group $G$ is called a central automorphism, if $x^{-1}x^{\alpha}\in Z(G)$ for all $x\in G$. Let $L_c(G)$ be the central kernel of $G$, that is the set of elements of $G$ fixed by all central&nbsp; automorphisms of $G$ and $Aut_{L_c}(G)$ denote the group of all central automorphisms of $G$ fixing $G/L_c(G)$ element-wise. In the present paper, we investigate the properties of such automorphisms. Moreover, a full classification of $p$-groups $G$ of order at most $p^5$ where $Aut_{L_c}(G)=Inn(G)$ is also given.Forecasting educated unemployed people in Indonesia using the Bootstrap Technique
https://jmmrc.uk.ac.ir/article_3342.html
Forecasting is an essential analytical tool used to make future predictions based on preliminary data. However, the use of small sample sizes during analysis provides inaccurate results, known as asymptotic forecasting. Therefore, this study aims to analyze the unemployment rate of educated people in Indonesia using the bias-corrected forecasting bootstrap technique. Data were collected from a total of 30 time series of educated unemployed from 2015 to 2019 using the bias-corrected bootstrap technique and determined using the interval prediction method. The bootstrap replication used is at intervals of 100, 250, 500, and 1000. The results obtained using the R program showed that the bootstrap technique provides consistent forecasting results, better accuracy, and unbiased estimation. Moreover, the results also show that for the next 10 periods, the number of educated unemployed people in Indonesia is projected to decline. The bootstrap coefficient also tends to decrease with an increase in the number of replications, at an average of 0.958. The interval prediction is also known to be smooth, along with a large number of bootstrap replications.Some results on uncorrelated dependent random variables
https://jmmrc.uk.ac.ir/article_3383.html
&lrm;In probability and statistics&lrm;&lrm; the earliest concept related to independence is the uncorrelatedness. &lrm;It is well known that a pair of independent random variables are uncorrelated&lrm;, &lrm;but uncorrelated random variables may or may not be independent&lrm;.&lrm;The aim of this paper is to provide some new models for the joint distribution of the uncorrelated random variables that are not independent. &lrm;The proposed models include a bivariate mixture structure, a transformation method, and copula method. Several examples illustrating the results are included.Analytic Univalent fucntions defined by Gegenbauer polynomials
https://jmmrc.uk.ac.ir/article_3425.html
The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time. Recently, Gegenbauer polynomials have been used to define several subclasses of an analytic functions and their yielded results are in the public domain. In this work, analytic univalent functions defined by Gegenbauer polynomials is considered using close-to-convex approach of starlike function. Some early few coefficient bounds obtained are used to establish the famous Fekete-Szego inequalities.Stability and Hopf bifurcation analysis of a chaotic system using time-delayed feedback control method
https://jmmrc.uk.ac.ir/article_3345.html
In this paper, we study the effect of delayed feedback on the dynamics of a three-dimensional chaotic dynamical system and stabilize its chaotic behavior and control the respective unstable steady state. We derive an explicit formula in which a Hopf bifurcation occurs under some analytical conditions. Then the existence and stability of the Hopf bifurcation are analyzed by considering the time delay $ \tau $ as a bifurcation parameter. Furthermore, by numerical calculation and appropriate ascertaining of both the feedback strength $ K $ and time delay $ \tau $, we find certain threshold values of time delay at which an unstable equilibrium of the considered system is successfully controlled. Finally, we use numerical simulations to examine the derived analytical results and reveal more dynamical behaviors of the system.$L_k$-Biharmonic hypersurfaces in the 3-or 4-dimensional Lorentz-Minkowski spaces
https://jmmrc.uk.ac.ir/article_3426.html
A hypersurface $ M^n $ in the Lorentz-Minkowski space $\mathbb{L}^{n+1} $ is called $ L_k $-biharmonic if the position vector $ \psi $ satisfies the condition $ L_k^2\psi =0$, where $ L_k$ is the linearized operator of the $(k+1)$-th mean curvature of $ M $ for a fixed $k=0,1,\ldots,n-1$. This definition is a natural generalization of the concept of a biharmonic hypersurface. We prove that any $ L_k $-biharmonic surface in $ \mathbb{L}^3 $ is $k$-maximal. We also prove that any $ L_k $-biharmonic hypersurface in $ \mathbb{L}^4 $ with constant $ k$-th mean curvature is $ k $-maximal. These results give a partial answer to the Chen's conjecture for $L_k$-operator that $L_k$-biharmonicity implies $L_k$-maximality.Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations
https://jmmrc.uk.ac.ir/article_3406.html
In an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37&ndash;51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is preserved by super-additive transformations in dimension 1. We give a shorter and more direct proof of this result and of a related linear bound on uniformly continuous aggregation functions.Vortex Solutions for Thermohaline circulation Equations
https://jmmrc.uk.ac.ir/article_3346.html
The main objective of this article is to establish a new model and find some vortex axisymmetric solutions of finite core size for this model. We introduce the hydrodynamical equations governing the atmospheric circulation over the tropics, the Boussinesq equation with constant radial gravitational acceleration. Solutions are expanded into series of Hermite eigenfunctions. We find the coefficients of the series and show the convergence of them. These equations are critically important in mathematics. They are similar to the 3D Navier-Stokes and the Euler equations. The 2D Boussinesq&nbsp; equations preserve some important aspects of the 3D Euler and Navier-Stokes equations such as the vortex stretching mechanism. The inviscid 2D Boussinesq equations are known as the Euler equations for the 3D axisymmetric swirling flows.This model is the most frequently used for buoyancy-driven fluids, such as many largescale geophysical flows, atmospheric fronts, ocean circulation, clued dynamics. In addition, they play an important role in the Rayleigh-Benard convection.An algorithm for a multicriteria optimization problem and its application to a facility location problem
https://jmmrc.uk.ac.ir/article_3481.html
In this paper, a new algorithm is proposed for solving a multicriteria optimization problem where the feasible set is an $m-$dimensional cube. In fact, the idea of the multicriteria big cube small cube method is employed to develop the new algorithm. It is proved that, for a given epsilon vector, the output of the suggested algorithm involves all epsilon efficient solutions as well as all efficient solutions. Furthermore, the algorithm is applied to a multicriteria location problem. The results show that the recommended algorithm can obtain more epsilon efficient solutions in comparison with the main multicriteria big cube small cube method.The Truncated Lomax-exponential distribution and its fitting to financial data
https://jmmrc.uk.ac.ir/article_3432.html
Nowadays, analyzing the losses data of the insurance and asset portfolios has special importance in risk analysis and economic problems. Therefore, having suitable distributions that are able to fit such data, is important. In this paper, a new distribution with decreasing failure rate function is introduced. Then, some important and applicable statistical indices in insurance and economics like the moments and moment generating function, value at risk, tail value at risk, tail variance, and Shannon and R\'enyi entropies are obtained. One of the advantages of this distribution is that it has fewer parameters compared to other distributions that have been introduced so far. Finally, this distribution is utilized as a proper distribution to fit on a real data set.Comparison between Mathematical Problem-Solving Approach Under Iranian and Iraq Teachers' Views
https://jmmrc.uk.ac.ir/article_3349.html
Being mainly a process of knowledge transmission, mathematics education evolves during time in accordance with the strong assumptions and beliefs which are considered as parts of the mathematics teaching profession. This suggests that explaining the problem-solving process, transmitting the clear and flawless information, and showing the problem-solving procedures, were parts of the role the mathematics teachers have. The main purpose of this study was to compare the mathematical teaching experiences based on the problem-solving approach among the Iranian and Iraq mathematics educators. Through survey method, views of secondary teachers of mathematics are studied. It is used of questionnaire that is proposed by Matlala's (2015). The validity and reliability has been proved by researcher using Cronbach's alpha method with a value more 0/89 This questionnaire was designed with the purpose of identifying challenges and opportunities that every individual encounter with in the way of using a problem-solving approach to facilitate mathematics learning. The statistical population of the study included all the secondary school math teachers in Iran and Iraq. Using the simple random sampling method, 16 secondary school math teachers from the Republic of Iraq (from its capital:Kurdistan) and 14 secondary school math teachers from the Islamic Republic of Iran (from its capital: Tehran) were selected. The use of an electronic questionnaire, was sent to in-service teachers during the school year 2018-2019. findings indicated that Iranian and Iraq teachers' view regard to the implementation of problem solving procedure were positive and they have applied problem solving procedure in their math classes.On timelike hypersurfaces of the Minkowski 4-space with 1-proper second mean curvature vector
https://jmmrc.uk.ac.ir/article_3455.html
The mean curvature vector field of a submanifold in the Euclidean $n$-space is said to be $proper$ if it is an eigenvector of the Laplace operator $\Delta$. It is proven that every hypersurface with proper mean curvature vector field in the Euclidean 4-space ${\Bbb E}^4$ has constant mean curvature. In this paper, we study an extended version of the mentioned subject on timelike (i.e., Lorentz) hypersurfaces of Minkowski 4-space ${\Bbb E}^4_1$. Let ${\textbf x}:M_1^3\rightarrow{\Bbb E}_1^4$ be the isometric immersion of a timelike hypersurface $M^3_1$ in ${\Bbb E}_1^4$. The second mean curvature vector field ${\textbf H}_2$ of $M_1^3$ is called {\it 1-proper} if it is an eigenvector of the Cheng-Yau operator $\mathcal{C}$ (which is the natural extension of $\Delta$). We show that each $M^3_1$ with 1-proper ${\textbf H}_2$ has constant scalar curvature. By a classification theorem, we show that such a hypersurface is $\mathcal{C}$-biharmonic, $\mathcal{C}$-1-type or&nbsp; null-$\mathcal{C}$-2-type. Since the shape operator of $M^3_1$ has four possible matrix forms, the results will be considered in four different cases.Designing a new case of two-stage DEA Model about the indirect relation of Information Technology investment on firm performance in Intuitionistic Fuzzy Environment
https://jmmrc.uk.ac.ir/article_3350.html
Data Envelopment Analysis (DEA) is a theoretical framework for performance analysis and efficiency measurement. Traditional DEA models, which measure the efficiency of simple decision-making with multiple inputs and outputs, have several weaknesses, one of which is the inability to consider intermediate variables. Therefore, Network Data Envelopment Analysis (NDEA) has been developed to address this issue, which is especially important for the analysis of two-stage processes. Also, since real-world data often are non-deterministic and imprecise, fuzzy sets theory and intuitionistic fuzzy sets theory, which are well-equipped to handle such information, can be used to improve the performance of two-stage DEA models. In this study, firstly NDEA models are discussed and then multiplicative method of NDEA is stated to obtain the individual efﬁciencies and the overall efﬁciency of the two stages. Also, it is explained how these models can be modified with intuitionistic fuzzy coefficients, and finally is described how arithmetic operators for intuitionistic fuzzy numbers can be used for a conversion into crisp two-stage structures. This paper presents a new two-stage DEA model to study the indirect impact of information technology investment on firm performance operating based on fuzzy intuitionistic numbers. Using this model, the efficiency of the first and second stages of a two-stage decision-making and ultimately its overall efficiency can be estimated with due to intermediate variables. The proposed method is used to solve a numerical example containing 12 DMUs with intuitionistic fuzzy triangular number coefficients.The complex-type cyclic-Fibonacci sequence and its applications
https://jmmrc.uk.ac.ir/article_3456.html
In the present paper, we aim to generalize the notion of complex-type Fibonacci sequences to complex-type cyclic Fibonacci sequences. Firstly, we define the complex-type cyclic-Fibonacci sequence and then we give miscellaneous&nbsp; properties of this sequence by using the matrix method. Also, we study the complex-type cyclic-Fibonacci sequence modulo $m$. In addition, we describe the complex-type cyclic-Fibonacci sequence in a $2$-generator group and investigate that in finite groups in details. Then, as our last result, we obtain the lengths of the periods of the complex-type cyclic-Fibonacci sequences in dihedral groups $D_{2}$, $D_{3}$, $D_{4}$, $D_{5}$, $D_{6}$ and $D_{8}$ with respect to their generating sets.On norm estimation for certain subclasses of analytic functions in geometric functions theory
https://jmmrc.uk.ac.ir/article_3459.html
We investigate on some subclasses of analytic fuctions defined by subordination. Also, we give estimates of $\sup_{|z|&lt;1}\big(1-|z|^{2}\big)\big|\dfrac{f^{''}(z)}{f^{'}(z)}\big|$, for functions belonging to extended class of starlike functions. For a locally univalent analytic function $f$ defined on $\Delta =\{z\in \mathbb{C}: |Z|&lt;1\}$, we consider the pre-Schwarzian norm by $\Vert T\Vert=\sup _{|z|&lt;1}\big(1-|z|^{2}\big)\big|\dfrac{f^{''}(z)}{f^{'}(z)}\big|$. In this work, we find the sharp norm estimate for the functions $f$ in the extended classes of starlike functions.Pair difference cordial labeling of some star related graphs
https://jmmrc.uk.ac.ir/article_3470.html
In this paper, we investigate the pair difference cordial labeling behaviour of some star related graphs.Cost-Aware and Energy-Efficient Task Scheduling Based on Grey Wolf Optimizer
https://jmmrc.uk.ac.ir/article_3353.html
One of the principal challenges in the cloud is the task scheduling problem. Appropriate task scheduling algorithms are needed to achieve goals such as load balancing, minimum cost, minimum energy consumption, etc. Using meta-heuristic algorithms is a good way to solve scheduling problems in the cloud because scheduling is an NP-hard problem. In recent years, various meta-heuristic algorithms have been introduced, one of the most popular meta-heuristic algorithms to deal with optimization problems is the Grey Wolf Optimizer (GWO) algorithm. This paper introduces a novel GWO-based task scheduling (GWOTS) algorithm to map tasks over the available resources. The principal goal of this paper is to decrease execution cost, energy consumption, and makespan. The efficiency of the GWOTS algorithm is compared with the well-known meta-heuristic algorithms, namely Genetic Algorithm (GA), Dragonfly Algorithm (DA), Particle Swarm Optimization (PSO), Whale Optimization Algorithm (WOA), Ant Colony Optimization (ACO), Gravitational Search Algorithm (GSA), Sooty Tern Optimization Algorithm (STOA), Artificial Hummingbird Algorithm (AHA), Multi-Verse Optimizer (MVO), and Sine Cosine Algorithm (SCA). In addition, the performance of GWOTS is compared with three recently scheduling algorithms, namely SOATS, IWC, and CETSA. Experimental results show that the GWOTS algorithm improves performance in terms of makespan, cost, energy consumption, total execution time, resource utilization, throughput, and degree of resource load balance compared to other algorithms.Equivalence of sequential Henstock and topological Henstock integrals for interval valued functions
https://jmmrc.uk.ac.ir/article_3482.html
Suppose $X$ is a locally compact Hausdorff space and $\Omega \in \bigtriangleup$. If $ F $ is an interval valued function defined in $ \Omega $ with $F:\bar \Omega\rightarrow I_{\mathbb{R}}$. Suppose $F$ is Topological Henstock integrable, is $ F $ Sequential Henstock integrable? Therefore, the purpose of this paper is to provide a positive response to this query.Fixed point results of fuzzy $(\theta, \mathcal {L})-$ weak contraction in $\mathbb{G}$-metric space
https://jmmrc.uk.ac.ir/article_3497.html
In this paper, the notion of fuzzy $(\theta, \mathcal {L})$-weak contraction in $\mathbb{G}-$metric space is introduced, and sufficient conditions for the existence of fuzzy fixed points for such mappings are investigated. Relevant illustrative examples are constructed to support the assumptions of our established theorems. It is observed that the principal ideas obtained herein extend and subsume some well-known results in the corresponding literature. A few of these special cases of our results are noted and discussed as corollariesChlodowsky type $\left( \lambda,q\right)$-Bernstein Stancu operators of Pascal rough triple sequences
https://jmmrc.uk.ac.ir/article_3354.html
The fundamental concept of statistical convergence first was put forward by Steinhaus and at the same time but also&nbsp; by Fast \cite{Fast} independently both for complex and real sequences. In fact, the convergence in terms of statistical &nbsp; &nbsp; manner can be seen as a generalized form of the common convergence notion that is in the parallel of the theory of usual convergence. Measuring how large a subset of the set of natural number can be possible by means of asymptotic&nbsp; &nbsp; density. It is intuitively known that positive integers are in fact far beyond the fact that they are perfect squares. This is due to the fact that each perfect square is positive and besides at the same time there are many other positive integers. But it is also known that the set consisting of integers which are positive is not larger than that of those which are perfect squares: both of those sets are countable and infinite and therefore can be considered in terms of $1$-to-$1$ correspondence. However, when the natural numbers are scanned for increasing order, then the squares are seen &nbsp; &nbsp; increasingly scarcity. It is at this point that the concept of natural density comes into out help and this intuition becomes more precise. In this study, the above mentioned statistical convergence and asymptotic density concepts are &nbsp; &nbsp; examined in a new space and an attempt is made to fill a gap in the literature as follows. Stancu type extension of the widely known Chlodowsky type \linebreak$\left( \lambda,q\right) &nbsp;$-operators is going to be introduced. Moreover, the&nbsp; &nbsp; description of the novel rough statistical convergence having Pascal Fibonacci binomial matrix is going to be presented and several general characteristics of rough statistical convergence are taken into consideration. In the second place, the approximation theory is investigated as the rate of the rough statistical convergence of Chlodowsky type $\left(\lambda,q\right)$-operators.Deep learning-based intrusion detection systems: A comprehensive survey of four main fields of cyber security
https://jmmrc.uk.ac.ir/article_3501.html
The security flaws in cyber security have always put the users and organizations at risk, which as a result created catastrophic conditions in the network that could be either irreversible or sometimes too costly to recover. In order to detect these attacks, Intrusion Detection Systems (IDSs) were born to alert the network in case of any intrusions. Machine Learning (ML) and more prominently deep learning methods can be able to improve the performance of IDSs. This article focuses on IDS approaches whose functionalities rely on deep learning models to deal with the security issue in Internet of Things (IoT), wireless networks, Software Defined Networks (SDNs), and Industrial Control Systems (ICSs). To this, we examine each approach and provide a comprehensive comparison and discuss the main features and evaluation methods as well as IDS techniques that are applied along with deep learning models. Finally, we will provide a conclusion of what future studies are possibly going to focus on in regards to IDS, particularly when using deep learning models.The small intersection graph of filters of a bounded distributive lattice
https://jmmrc.uk.ac.ir/article_3356.html
Let $L$ be a lattice with $1$ and $0$. The small intersection graph of filters of $L$, denoted by $\Gamma(L)$, is defined to be a graph whose vertices are in one to one correspondence with all non-trivial filters of $L$ and two distinct vertices are adjacent if and only if the intersection of corresponding filters of $L$ is a small filter of $L$. In this paper, the basic&nbsp; properties and possible structures of the graph $\Gamma(L)$ are investigated. Moreover, the complemented property, the domination number and the planar property of $\Gamma(L)$ are considered.Higher Homomorphisms and Their Approximations
https://jmmrc.uk.ac.ir/article_3414.html
&lrm;In this paper&lrm;, &lrm;we introduce a class of higher homomorphisms on an algebra $ \mathcal{A} $ and we characterize the structure of them as a linear combination of some &lrm;sequences&lrm; of homomorphisms&lrm;.&lrm; &lrm;Also &lrm;&lrm;we prove that for any approximate higher ring homomorphism on a Banach algebra $ \mathcal{A} $ under some sequences of control funtions&lrm;, there exists a unique higher ring homomorphism near it. Using special sequences of control functions, we show that the approximate higher ring homomorphism is an exact higher ring homomorphism.