Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001Maps preserving triple product on rings18290110.22103/jmmrc.2021.16645.1124ENAliTaghaviDepartment of Mathematics, Faculty of Mathematical Sciences, University
of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran.RojaHosseinzadehDepartment of Mathematics, Faculty of Mathematical Sciences, University
of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran.Journal Article20201023Let R and R0 be two unital rings such that R contains a non-<br />trivial idempotent P1. If R is a prime ring, we characterize the form of bijective<br />map ' : R ! R0 which satises '(ABP) = '(A)'(B)'(P), for every A;B 2 R<br />and P 2 fP1; P2g, where P2 := I P1 and I is the unit member of R. It is<br />shown that ' is an isomorphism multiplied by a central element. Finally, we<br />characterize the form of ' : R ! R which satises '(P)'(A)'(P) = PAP,<br />for every A 2 R and P 2 fP1; P2g.https://jmmrc.uk.ac.ir/article_2901_73e9a4973b6ec51a9a39abe5ed111e5c.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001An approach to change the topology of a topological space with the help of its closed sets in the presence of grills919290210.22103/jmmrc.2021.17094.1132ENAminTalabeigiDepartment of Mathematics,
Payame Noor University, Tehran, Iran0000000152325008Journal Article20210125The aim of this paper is introduce an approach to convert the<br />topology of a topological space to another topology(in fact, a coarser topology).<br />For this purpose, considering a closed set P of subsets of a topological space<br />(X; T) and a grill G on the space, we use the closure operator cl associated with<br />T, to define a new Kuratowski closure operator cl_p <br />on X. The operator cl_p <br />induces the desired topology. We then characterize the form of this resulting<br />topology and also determine its relationship to the initial topology of the space.<br />Some examples are given. Also, using a suitable grill in the method, we convert<br />each topological space to corresponding D-space.https://jmmrc.uk.ac.ir/article_2902_7dda9000c93d3e33252544448658fc21.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001A preconditioned Jacobi-type method for solving multi-linear systems2131290310.22103/jmmrc.2021.16997.1129ENMehdiNajafi-KalyaniDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, PO Box 518, Rafsanjan, IranFatemehP. A. BeikDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, PO Box 518, Rafsanjan, IranJournal Article20210104Recently, Zhang et al. [Applied Mathematics Letters 104 (2020) 106287] proposed a preconditioner to improve the convergence speed of three types of Jacobi iterative methods for solving multi-linear systems. In this paper, we consider the Jacobi-type method which works better than the other two ones and apply a new preconditioner. The convergence of proposed preconditioned iterative method is studied. It is shown that the new approach is superior to the recently examined one in the literature. Numerical experiments illustrate the validity of theoretical results and the efficiency of the proposed preconditioner.https://jmmrc.uk.ac.ir/article_2903_98d19aa45d30b72b66f2f4a51825c2b4.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001An Implication of Fuzzy ANOVA in Vehicle Battery Manufacturing3347301710.22103/jmmrc.2021.17325.1137ENAbbasParchamiDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.0000-0002-0593-7324MashallahMashinchiDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.0000-0001-5848-8027CengizKahramanDepartment of Industrial Engineering, Istanbul Technical University, Macka Istanbul, Turkey0000-0001-6168-8185Journal Article20210320Analysis of variance (ANOVA) is an important method in exploratory and confirmatory data analysis when explanatory variables are discrete and response variables are continues and independent from each other. The simplest type of ANOVA is one-way analysis of variance for comparison among means of several populations. In this paper, we extend one-way analysis of variance to a case where observed data are non-symmetric triangular or normal fuzzy observations rather than real numbers. Meanwhile, a case study on the car battery length-life is provided on the basis on the proposed method.https://jmmrc.uk.ac.ir/article_3017_05c35a9b2dd9016cb22b6b6c08d8f09a.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001Perron-Frobenius theory on the higher-rank numerical range for some classes of real matrices4961301810.22103/jmmrc.2021.17564.1147ENMostafaZangiabadiDepartment of Mathematics, University of Hormozgan, Bandar Abbas, Iranhttps://orcid.org/00HamidrezaAfshinDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.Journal Article20210511We present an extension of Perron-Frobenius theory to the higher-rank numerical range<br />of real matrices. We define a new type of the rank-k numerical radius for real matrices, i.e., the<br />sign-real rank-k numerical radius, and derive some properties of it. In addition, we extend Issos' results on the higher-rank numerical range of nonnegative matrices to real matrices.<br />Finally, we give some examples that are used to illustrate our theoretical results.https://jmmrc.uk.ac.ir/article_3018_39aaa70d4798a72347b6f524c71dc8b4.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001Eigenvalues for tridiagonal 3-Toeplitz matrices6372301910.22103/jmmrc.2021.17349.1138ENMaryamShams SolaryDepartment of Applied Mathematics,
Payame Noor University,
Po Box 19395-3697 Tehran, Iran.orcid.org/0000-0002-8911-3903Journal Article20210329In this paper, we study the eigenvalues of real tridiagonal 3-Toeplitz matrices<br />of different order. When the order of a tridiagonal 3-Toeplitz matrix is n = 3k + 2,<br />the eigenvalues were found explicitly. Here, we consider the distribution of eigenvalues<br />for a tridiagonal 3-Toeplitz matrix of orders n = 3k and n = 3k + 1. We explain our<br />method by finding roots of a combination of Chebyshev polynomials of the second<br />kind. This distribution solves the eigenproblem for integer powers of such matrices.https://jmmrc.uk.ac.ir/article_3019_2240ffcf63fe00d5244dda150b8442bd.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001Fuzzy, Possibility, Probability, and Generalized Uncertainty Theory in Mathematical Analysis73101302010.22103/jmmrc.2021.18055.1160ENWeldon AlexanderLodwickDept. of Mathematical and Statistical Sciences, University of Colorado Denver, Colorado, USAJournal Article20210812This presentation outlines from a quantitative point of view, the relationships between probability theory, possibility theory, and generalized uncertainty theory, and the role that fuzzy set theory plays in the context of these theories. Fuzzy sets, possibility, and probability entities are de ned in terms of a function. In each case, these three functions map the real numbers to the interval [0,1]. However, each of these functions are de ned with di¤erent properties. There are generalizations associated with these three theories that lead to intervals (sets of connected real numbers bounded by two points) and interval functions (sets of functions that are bounded by known upper and lower functions). An interval or interval function encodes the fact that it is unknown which of the points or functions is the point or function in questions, that is, the numerical value or real-valued function is unknown, it is uncertain. For generalizations given by pairs of numbers or functions, a case is made for a particular type of generalized uncertainty theory, interval-valued probability measures, as a way to unify the generalizations of probability, possibility theory, as well as other generalized probability theories via fuzzy intervals and fuzzy interval functions. This presentation brings a new understanding of quantitative fuzzy set theory, possibility theory, probability theory, and generalized uncertainty and gleans from existing research with the intent to organize and further clarify existing approaches.https://jmmrc.uk.ac.ir/article_3020_de14f1f1796bbd2c882e1965404f8822.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001On Hierarchical Multiple Imputation Method for Handling Missing Data103114302110.22103/jmmrc.2021.17749.1153ENAyyubSheikhiDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran000-0002-3731-6012AlirezaArabpourDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran0000-0001-5287-2263KhosraviMohsenDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran000-0001-6862-7983MashallahMashinchiDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran0000-0001-5848-8027RezaPourmousaDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran0000-0001-6412-7260MohsenRezapourDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran000-0001-6412-7260Mohammad JavadRoastamiDepartment of Computer Engineering, Shahid Bahonar University of Kerman, Kerman, Iran.
and
Kerman Chamber of Commerce, Industries, Mines and Agriculture, Kerman, Iran000-0003-1226-345XAminAbbdollah NejadKerman Chamber of Commerce, Industries, Mines and Agriculture, Kerman, Iran000-0002-7062-2484AbedBadakhshanDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20210616In this work we carry out a multiple imputation technique for handling missing observations. We propose an algorithm, which performs a hierarchical multiple imputation using edition rules to impute missing values. We assess our algorithm using a simulation study and a numerical application of our algorithm in dataset of Kerman Chamber of Commerce, Industries, Mines and Agriculture is presented for more illustration.https://jmmrc.uk.ac.ir/article_3021_45d6f831fa819ce904f73db98a966664.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001On approximate orthogonally ring homomorphisms and orthogonally ring derivations in Banach algebras with the new type fixed point115124302210.22103/jmmrc.2021.16277.1120ENAliBahrainiMathematics Department-College of Science, Islamic Azad University Central Tehran Branch, Tehran, Iran.0000000329744786GholamrezaAskariDepartment of Mathematics, Semnan University, Semnan, Iran.MadjidEshaghi GordjiDepartment of Mathematics, Semnan University, Semnan, Iran.Journal Article20200810In this paper, <br />Using fixed point methods, we prove the stability of orthogonally ring homomorphism and orthogonally ring derivation in Banach algebras.https://jmmrc.uk.ac.ir/article_3022_174a0906fba8691414a1615db6017c70.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001Kleen’s Theorem for BL-general L-fuzzy automata125144302310.22103/jmmrc.2021.17171.1134ENMarziehShamsizadehBehbahan Khatam Alanbia University of Technology, Khouzestan, Iran0000-0002-9336-289XMohammad MehdiZahediDepartment of Mathematics Graduate University of Advanced Technology, Kerman, Iran0000-0003-3197-9904KhadijehAbolpourDepartment of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran0000-0001-9402-5441Journal Article20210213The contribution of generl fuzzy automata to neural networks has been considerable, and dynamical fuzzy systems are becoming more and more popular and useful. Basic logic, or BL for short, has been introduced by Hájek [5] in order to provide a general framework for formalizing statements of fuzzy nature. In this note, some of the closure properties of the BL-general fuzzy automaton based on lattice valued such as union, intersection, connection and a serial connection are considered, after that, the behavior of them are discussed. Moreover, for a given BL-general fuzzy automaton on the basis of lattice valued, a complete BL-general fuzzy automaton on the basis of lattice valued is presented. Afterward, we may test the Pumping Lemma for the BL-general fuzzy automaton based on lattice valued. In particular, a connection between the behavior of BL-general fuzzy automaton based on lattice valued and its language is presented. Also, it is proven that L is a recognizable set if and only if L is rational. Also, it is driven that Kleen’s Theorem is valid for the BL-general fuzzy automaton on the basis of lattice valued. Finally, we give some examples to clarify these notions.https://jmmrc.uk.ac.ir/article_3023_5173d44412a9875cc5b347883638b803.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001Dynamics of a harmonic oscillator perturbed by a non-smooth velocity-dependent damping force145162304510.22103/jmmrc.2021.17474.1140ENZahraMonfaredDepartment of Mathematics & Informatics and Cluster of Excellence
STRUCTURES,
Heidelberg University,
Heidelberg, Germany
and
Department of Applied Mathematics,
Ferdowsi University of Mashhad (FUM),
Mashhad, IranZohrehDadiDepartment of Mathematics,
Faculty of Basic Sciences,
University of Bojnord,
Bojnord, Iran0000-0002-4288-1956ALiDarijaniDepartment of Mathematics,
Higher Education Complex of Bam,
Bam, Iran0000-0003-0709-2967YousefQasemi Nezhad RaeiniDepartment of Mathematics,
Shahid Bahonar University of Kerman,
Kerman, Iran0000-0002-2269-2920Journal Article20210425This paper studies the dynamics of a non-smooth vibrating system of the Filippov type. The main focus is on investigating the stability and bifurcation of a simple harmonic oscillator subjected to a non-smooth velocity-dependent damping force. In this way, we can analyze the effects of damping on the system's vibrations. For this purpose, we will find a parametric region for the existence of generalized Hopf bifurcation, in order to compute a branch of periodic orbits for the system. The tool for our purpose is the theoretical results about generalized Hopf bifurcation for planar Filippov systems. Some numerical simulations as examples are given to illustrate our theoretical results. Our theoretical and numerical findings indicate that the harmonic oscillator can experience different kinds of vibrations, in the presence of a non-smooth damping.https://jmmrc.uk.ac.ir/article_3045_5e4ff0393ffe9a91c13aa26fea3ed64b.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795210220211001On extended Real Valued Quasi-Concave Functions163180304610.22103/jmmrc.2021.17976.1158ENSomayehMirzadehDepartment of Mathematics, Hormozgan University, Bandar Abbas, Iran0000-0002-2804-7068SamanehBahramiDepartment of Mathematics, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20210729In this paper, we first study the non-positive decreasing and inverse co-radiant<br />functions defined on a real locally convex topological vector space X. Next, we characterize non-positive increasing, co-radiant and quasi-concave functions over X. In fact, we examine abstract concavity, upper support set and superdifferential of this class of functions by applying a type of duality. Finally, we present abstract concavity of extended real valued increasing, co-radiant and quasi-concave functions.https://jmmrc.uk.ac.ir/article_3046_cae68e7dd5f061400741f34b3984d1a5.pdf