Maps preserving triple product on rings
Ali
Taghavi
Department of Mathematics, Faculty of Mathematical Sciences, University
of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran.
author
Roja
Hosseinzadeh
Department of Mathematics, Faculty of Mathematical Sciences, University
of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran.
author
text
article
2021
eng
Let R and R0 be two unital rings such that R contains a non-trivial idempotent P1. If R is a prime ring, we characterize the form of bijectivemap ' : R ! R0 which satises '(ABP) = '(A)'(B)'(P), for every A;B 2 Rand P 2 fP1; P2g, where P2 := I P1 and I is the unit member of R. It isshown that ' is an isomorphism multiplied by a central element. Finally, wecharacterize the form of ' : R ! R which satises '(P)'(A)'(P) = PAP,for every A 2 R and P 2 fP1; P2g.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
1
8
https://jmmrc.uk.ac.ir/article_2901_73e9a4973b6ec51a9a39abe5ed111e5c.pdf
dx.doi.org/10.22103/jmmrc.2021.16645.1124
An approach to change the topology of a topological space with the help of its closed sets in the presence of grills
Amin
Talabeigi
Department of Mathematics,
Payame Noor University, Tehran, Iran
author
text
article
2021
eng
The aim of this paper is introduce an approach to convert thetopology of a topological space to another topology(in fact, a coarser topology).For this purpose, considering a closed set P of subsets of a topological space(X; T) and a grill G on the space, we use the closure operator cl associated withT, to define a new Kuratowski closure operator cl_p on X. The operator cl_p induces the desired topology. We then characterize the form of this resultingtopology and also determine its relationship to the initial topology of the space.Some examples are given. Also, using a suitable grill in the method, we converteach topological space to corresponding D-space.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
9
19
https://jmmrc.uk.ac.ir/article_2902_7dda9000c93d3e33252544448658fc21.pdf
dx.doi.org/10.22103/jmmrc.2021.17094.1132
A preconditioned Jacobi-type method for solving multi-linear systems
Mehdi
Najafi-Kalyani
Department of Mathematics, Vali-e-Asr University of Rafsanjan, PO Box 518, Rafsanjan, Iran
author
Fatemeh
P. A. Beik
Department of Mathematics, Vali-e-Asr University of Rafsanjan, PO Box 518, Rafsanjan, Iran
author
text
article
2021
eng
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.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
21
31
https://jmmrc.uk.ac.ir/article_2903_98d19aa45d30b72b66f2f4a51825c2b4.pdf
dx.doi.org/10.22103/jmmrc.2021.16997.1129
An Implication of Fuzzy ANOVA in Vehicle Battery Manufacturing
Abbas
Parchami
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
author
Mashallah
Mashinchi
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
author
Cengiz
Kahraman
Department of Industrial Engineering, Istanbul Technical University, Macka Istanbul, Turkey
author
text
article
2021
eng
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.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
33
47
https://jmmrc.uk.ac.ir/article_3017_05c35a9b2dd9016cb22b6b6c08d8f09a.pdf
dx.doi.org/10.22103/jmmrc.2021.17325.1137
Perron-Frobenius theory on the higher-rank numerical range for some classes of real matrices
Mostafa
Zangiabadi
Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran
author
Hamidreza
Afshin
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
author
text
article
2021
eng
We present an extension of Perron-Frobenius theory to the higher-rank numerical rangeof real matrices. We define a new type of the rank-k numerical radius for real matrices, i.e., thesign-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.Finally, we give some examples that are used to illustrate our theoretical results.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
49
61
https://jmmrc.uk.ac.ir/article_3018_39aaa70d4798a72347b6f524c71dc8b4.pdf
dx.doi.org/10.22103/jmmrc.2021.17564.1147
Eigenvalues for tridiagonal 3-Toeplitz matrices
Maryam
Shams Solary
Department of Applied Mathematics,
Payame Noor University,
Po Box 19395-3697 Tehran, Iran.
author
text
article
2021
eng
In this paper, we study the eigenvalues of real tridiagonal 3-Toeplitz matricesof different order. When the order of a tridiagonal 3-Toeplitz matrix is n = 3k + 2,the eigenvalues were found explicitly. Here, we consider the distribution of eigenvaluesfor a tridiagonal 3-Toeplitz matrix of orders n = 3k and n = 3k + 1. We explain ourmethod by finding roots of a combination of Chebyshev polynomials of the secondkind. This distribution solves the eigenproblem for integer powers of such matrices.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
63
72
https://jmmrc.uk.ac.ir/article_3019_2240ffcf63fe00d5244dda150b8442bd.pdf
dx.doi.org/10.22103/jmmrc.2021.17349.1138
Fuzzy, Possibility, Probability, and Generalized Uncertainty Theory in Mathematical Analysis
Weldon
Lodwick
Dept. of Mathematical and Statistical Sciences, University of Colorado Denver, Colorado, USA
author
text
article
2021
eng
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.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
73
101
https://jmmrc.uk.ac.ir/article_3020_de14f1f1796bbd2c882e1965404f8822.pdf
dx.doi.org/10.22103/jmmrc.2021.18055.1160
On Hierarchical Multiple Imputation Method for Handling Missing Data
Ayyub
Sheikhi
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
Alireza
Arabpour
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
Khosravi
Mohsen
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
Mashallah
Mashinchi
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
Reza
Pourmousa
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
Mohsen
Rezapour
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
Mohammad Javad
Roastami
Department of Computer Engineering, Shahid Bahonar University of Kerman, Kerman, Iran.
and
Kerman Chamber of Commerce, Industries, Mines and Agriculture, Kerman, Iran
author
Amin
Abbdollah Nejad
Kerman Chamber of Commerce, Industries, Mines and Agriculture, Kerman, Iran
author
Abed
Badakhshan
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
text
article
2021
eng
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.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
103
114
https://jmmrc.uk.ac.ir/article_3021_45d6f831fa819ce904f73db98a966664.pdf
dx.doi.org/10.22103/jmmrc.2021.17749.1153
On approximate orthogonally ring homomorphisms and orthogonally ring derivations in Banach algebras with the new type fixed point
Ali
Bahraini
Mathematics Department-College of Science, Islamic Azad University Central Tehran Branch, Tehran, Iran.
author
Gholamreza
Askari
Department of Mathematics, Semnan University, Semnan, Iran.
author
Madjid
Eshaghi Gordji
Department of Mathematics, Semnan University, Semnan, Iran.
author
text
article
2021
eng
In this paper, Using fixed point methods, we prove the stability of orthogonally ring homomorphism and orthogonally ring derivation in Banach algebras.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
115
124
https://jmmrc.uk.ac.ir/article_3022_174a0906fba8691414a1615db6017c70.pdf
dx.doi.org/10.22103/jmmrc.2021.16277.1120
Kleen’s Theorem for BL-general L-fuzzy automata
Marzieh
Shamsizadeh
Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran
author
Mohammad Mehdi
Zahedi
Department of Mathematics Graduate University of Advanced Technology, Kerman, Iran
author
Khadijeh
Abolpour
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
author
text
article
2021
eng
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.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
125
144
https://jmmrc.uk.ac.ir/article_3023_5173d44412a9875cc5b347883638b803.pdf
dx.doi.org/10.22103/jmmrc.2021.17171.1134
Dynamics of a harmonic oscillator perturbed by a non-smooth velocity-dependent damping force
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
author
Zohreh
Dadi
Department of Mathematics,
Faculty of Basic Sciences,
University of Bojnord,
Bojnord, Iran
author
ALi
Darijani
Department of Mathematics,
Higher Education Complex of Bam,
Bam, Iran
author
Yousef
Qasemi Nezhad Raeini
Department of Mathematics,
Shahid Bahonar University of Kerman,
Kerman, Iran
author
text
article
2021
eng
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.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
145
162
https://jmmrc.uk.ac.ir/article_3045_5e4ff0393ffe9a91c13aa26fea3ed64b.pdf
dx.doi.org/10.22103/jmmrc.2021.17474.1140
On extended Real Valued Quasi-Concave Functions
Somayeh
Mirzadeh
Department of Mathematics, Hormozgan University, Bandar Abbas, Iran
author
Samaneh
Bahrami
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
author
text
article
2021
eng
In this paper, we first study the non-positive decreasing and inverse co-radiantfunctions 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.
Journal of Mahani Mathematical Research
Shahid Bahonar University of Kerman
2251-7952
10
v.
2
no.
2021
163
180
https://jmmrc.uk.ac.ir/article_3046_cae68e7dd5f061400741f34b3984d1a5.pdf
dx.doi.org/10.22103/jmmrc.2021.17976.1158