Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
Maps preserving triple product on rings
1
8
EN
Ali
Taghavi
Department of Mathematics, Faculty of Mathematical Sciences, University
of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran.
taghavi@umz.ac.ir
Roja
Hosseinzadeh
Department of Mathematics, Faculty of Mathematical Sciences, University
of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran.
ro.hosseinzadeh@umz.ac.ir
10.22103/jmmrc.2021.16645.1124
Let 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.
Preserver problem,Ring,Triple product,Non-trivial idempotent
https://jmmrc.uk.ac.ir/article_2901.html
https://jmmrc.uk.ac.ir/article_2901_73e9a4973b6ec51a9a39abe5ed111e5c.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
An approach to change the topology of a topological space with the help of its closed sets in the presence of grills
9
19
EN
Amin
Talabeigi
0000000152325008
Department of Mathematics,
Payame Noor University, Tehran, Iran
talabeigi.amin@gmail.com
10.22103/jmmrc.2021.17094.1132
The 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.
Kuratowski closure operator,Kuratowski closure axioms,grill,D-topology,D-space
https://jmmrc.uk.ac.ir/article_2902.html
https://jmmrc.uk.ac.ir/article_2902_7dda9000c93d3e33252544448658fc21.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
A preconditioned Jacobi-type method for solving multi-linear systems
21
31
EN
Mehdi
Najafi-Kalyani
Department of Mathematics, Vali-e-Asr University of Rafsanjan, PO Box 518, Rafsanjan, Iran
m.najafi.uk@gmail.com
Fatemeh
P. A. Beik
Department of Mathematics, Vali-e-Asr University of Rafsanjan, PO Box 518, Rafsanjan, Iran
f.beik@vru.ac.ir
10.22103/jmmrc.2021.16997.1129
Recently, 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.
Iterative method,multi-linear system,strong $mathcal{M}$-tensor,preconditioning
https://jmmrc.uk.ac.ir/article_2903.html
https://jmmrc.uk.ac.ir/article_2903_98d19aa45d30b72b66f2f4a51825c2b4.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
An Implication of Fuzzy ANOVA in Vehicle Battery Manufacturing
33
47
EN
Abbas
Parchami
0000-0002-0593-7324
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
parchami@uk.ac.ir
Mashallah
Mashinchi
0000-0001-5848-8027
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
mashinchi@uk.ac.ir
Cengiz
Kahraman
0000-0001-6168-8185
Department of Industrial Engineering, Istanbul Technical University, Macka Istanbul, Turkey
kahramanc@itu.edu.tr
10.22103/jmmrc.2021.17325.1137
Analysis 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.
Fuzzy decision,Non-symmetric fuzzy data,Arithmetic fuzzy numbers,Analysis of variance
https://jmmrc.uk.ac.ir/article_3017.html
https://jmmrc.uk.ac.ir/article_3017_05c35a9b2dd9016cb22b6b6c08d8f09a.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
Perron-Frobenius theory on the higher-rank numerical range for some classes of real matrices
49
61
EN
Mostafa
Zangiabadi
https://orcid.org/00
Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran
zangiabadi1@gmail.com
Hamidreza
Afshin
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
hamidrezaafshin@yahoo.com
10.22103/jmmrc.2021.17564.1147
We 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.
Sign-real rank-k numerical radius,sign-real spectral radius,Perron-Frobenius theory, signature matrices, higher-rank numerical range
https://jmmrc.uk.ac.ir/article_3018.html
https://jmmrc.uk.ac.ir/article_3018_39aaa70d4798a72347b6f524c71dc8b4.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
Eigenvalues for tridiagonal 3-Toeplitz matrices
63
72
EN
Maryam
Shams Solary
orcid.org/0000-0002-8911-3903
Department of Applied Mathematics,
Payame Noor University,
Po Box 19395-3697 Tehran, Iran.
shamssolary@gmail.com
10.22103/jmmrc.2021.17349.1138
In 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.
3-Toeplitz matrix,Chebyshev Polynomials,Eigenvalue
https://jmmrc.uk.ac.ir/article_3019.html
https://jmmrc.uk.ac.ir/article_3019_2240ffcf63fe00d5244dda150b8442bd.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
Fuzzy, Possibility, Probability, and Generalized Uncertainty Theory in Mathematical Analysis
73
101
EN
Weldon
Alexander
Lodwick
Dept. of Mathematical and Statistical Sciences, University of Colorado Denver, Colorado, USA
weldon.lodwick@ucdenver.edu
10.22103/jmmrc.2021.18055.1160
This 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.
Possibility,Probability,Generalized Uncertainty
https://jmmrc.uk.ac.ir/article_3020.html
https://jmmrc.uk.ac.ir/article_3020_de14f1f1796bbd2c882e1965404f8822.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
On Hierarchical Multiple Imputation Method for Handling Missing Data
103
114
EN
Ayyub
Sheikhi
000-0002-3731-6012
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
sheikhy.a@uk.ac.ir
Alireza
Arabpour
0000-0001-5287-2263
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
arabpour@uk.ac.ir
Khosravi
Mohsen
000-0001-6862-7983
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
khosravi_mm@uk.ac.ir
Mashallah
Mashinchi
0000-0001-5848-8027
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
mashinchi@uk.ac.ir
Reza
Pourmousa
0000-0001-6412-7260
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
pourm@uk.ac.ir
Mohsen
Rezapour
000-0001-6412-7260
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
mohsenrzp@uk.ac.ir
Mohammad Javad
Roastami
000-0003-1226-345X
Department of Computer Engineering, Shahid Bahonar University of Kerman, Kerman, Iran.
and
Kerman Chamber of Commerce, Industries, Mines and Agriculture, Kerman, Iran
rostami@uk.ac.ir
Amin
Abbdollah Nejad
000-0002-7062-2484
Kerman Chamber of Commerce, Industries, Mines and Agriculture, Kerman, Iran
aminabdollahnejad@gmail.com
Abed
Badakhshan
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
abidbadakhshan@gmail.com
10.22103/jmmrc.2021.17749.1153
In 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.
Missing Data,Multiple Imputation,Editing Rules,Data Cleaning
https://jmmrc.uk.ac.ir/article_3021.html
https://jmmrc.uk.ac.ir/article_3021_45d6f831fa819ce904f73db98a966664.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
On approximate orthogonally ring homomorphisms and orthogonally ring derivations in Banach algebras with the new type fixed point
115
124
EN
Ali
Bahraini
0000000329744786
Mathematics Department-College of Science, Islamic Azad University Central Tehran Branch, Tehran, Iran.
a.bahraini@iauctb.ac.ir
Gholamreza
Askari
Department of Mathematics, Semnan University, Semnan, Iran.
g.askari@semnan.ac.ir
Madjid
Eshaghi Gordji
Department of Mathematics, Semnan University, Semnan, Iran.
meshaghi@semnan.ac.ir
10.22103/jmmrc.2021.16277.1120
In this paper, <br />Using fixed point methods, we prove the stability of orthogonally ring homomorphism and orthogonally ring derivation in Banach algebras.
Stability,Banach algebras,fixed point approach,ring derivations,ring homomorphisms
https://jmmrc.uk.ac.ir/article_3022.html
https://jmmrc.uk.ac.ir/article_3022_174a0906fba8691414a1615db6017c70.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
Kleen’s Theorem for BL-general L-fuzzy automata
125
144
EN
Marzieh
Shamsizadeh
0000-0002-9336-289X
Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran
shamsizadeh.m@gmail.com
Mohammad Mehdi
Zahedi
0000-0003-3197-9904
Department of Mathematics Graduate University of Advanced Technology, Kerman, Iran
zahedi_mm@kgut.ac.ir
Khadijeh
Abolpour
0000-0001-9402-5441
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
abolpor_kh@yahoo.com
10.22103/jmmrc.2021.17171.1134
The 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.
BL-general fuzzy automata,Closure properties,Behavior of fuzzy automata,Pumping Lemma,Kleen’s Theorem
https://jmmrc.uk.ac.ir/article_3023.html
https://jmmrc.uk.ac.ir/article_3023_5173d44412a9875cc5b347883638b803.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
Dynamics of a harmonic oscillator perturbed by a non-smooth velocity-dependent damping force
145
162
EN
Zahra
Monfared
Department of Mathematics & Informatics and Cluster of Excellence
STRUCTURES,
Heidelberg University,
Heidelberg, Germany
and
Department of Applied Mathematics,
Ferdowsi University of Mashhad (FUM),
Mashhad, Iran
zahra.monfared@zi-mannheim.de
Zohreh
Dadi
0000-0002-4288-1956
Department of Mathematics,
Faculty of Basic Sciences,
University of Bojnord,
Bojnord, Iran
dadizohreh@gmail.com
ALi
Darijani
0000-0003-0709-2967
Department of Mathematics,
Higher Education Complex of Bam,
Bam, Iran
a.darijani@bam.ac.ir
Yousef
Qasemi Nezhad Raeini
Department of Mathematics,
Shahid Bahonar University of Kerman,
Kerman, Iran
yqasemi@gmail.com
10.22103/jmmrc.2021.17474.1140
This 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.
Velocity-dependent damping,Non-smooth dynamical systems,Generalized Hopf bifurcation,Vibrations,Nonlinear oscillator
https://jmmrc.uk.ac.ir/article_3045.html
https://jmmrc.uk.ac.ir/article_3045_5e4ff0393ffe9a91c13aa26fea3ed64b.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
10
2
2021
10
01
On extended Real Valued Quasi-Concave Functions
163
180
EN
Somayeh
Mirzadeh
0000-0002-2804-7068
Department of Mathematics, Hormozgan University, Bandar Abbas, Iran
mirzadeh@hormozgan.ac.ir
Samaneh
Bahrami
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
s_bahrami53@yahoo.com
10.22103/jmmrc.2021.17976.1158
In 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.
Abstract concavity,Duality,Co-radiant function,Quasi-concave function,Upper support set
https://jmmrc.uk.ac.ir/article_3046.html
https://jmmrc.uk.ac.ir/article_3046_cae68e7dd5f061400741f34b3984d1a5.pdf