eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2013-08-01
2
1
1
14
10.22103/jmmrc.2013.525
525
A FUZZY COMPARISON METHOD FOR PARTICULAR FUZZY
NUMBERS
SAED F. MALLAK
s.mallak@ptuk.edu.ps,saedmallak@yahoo.com
1
DUHA M. BEDO
duha 1991 10@hotmail.com
2
PALESTINE TECHNICAL UNIVERSITY -KADOORIE DEPARTMENT OF APPLIED MATHEMATICS
PALESTINE TECHNICAL UNIVERSITY -KADOORIE DEPARTMENT OF APPLIED MATHEMATICS
In a previous work, we introduced particular fuzzy numbers anddiscussed some of their properties. In this paper we use the comparison methodintroduced by Dorohonceanu and Marin[5] to compare between these fuzzynumbers.
http://jmmrc.uk.ac.ir/article_525_77f0bb8524f831376750f13b8ca1201e.pdf
Fuzzy Numbers
Parabolic and Trapezoidal-Parabolic Fuzzy
Number
Comparison of Fuzzy Numbers
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2013-08-01
2
1
15
28
10.22103/jmmrc.2013.526
526
APPLICATION OF HAAR WAVELETS IN SOLVING NONLINEAR
FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
H. SAEEDI
saeedi@uk.ac.ir, habibsaeedi@gmail.com
1
DEPARTMENT OF MATHEMATICS, SAHID BAHONAR UNIVERSITY OF KERMAN, IRAN, 76169-14111.
A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential equations of fractional order.The operational matrix of Haar wavelets via BPFs is derived and together with Haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. Our new method is based on this matrix and the vector forms forrepresentation of Haar wavelets. In addition, an error and convergence analysis of the Haar-approximation is discussed. Since this approach does not need any integration, all calculationswould be easily implemented, and it has several advantages in reducing the computational burden.Some examples are included to demonstrate the validity and applicability of the technique.
http://jmmrc.uk.ac.ir/article_526_fcc341d1ada6a80939ba049209f50a54.pdf
Fredholm integro-dierential equations
Haar wavelets
Operational matrix
Frac-
tional calculus
Block Pulse Functions
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2013-08-01
2
1
29
41
10.22103/jmmrc.2013.565
565
ANALYSIS OF COVARIANCE BASED ON FUZZY TEST
STATISTIC
ALIREZA JIRYAEI,
a.jiryae@gmail.com
1
ALIREZA ARABPOUR
arabpour@uk.ac.ir
2
MASHALLAH MASHINCHI
mashinchi@uk.ac.ir
3
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN.
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN.
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN.
One-way analysis of covariance is a popular and common statisticalmethod, wherein the equality of the means of several random variables whichhave a linear relationship with a random mathematical variable, is tested. Inthis study, a method is presented to improve the one-way analysis of covari-ance when there is an uncertainty in accepting the statistical hypotheses. Themethod deals with a fuzzy test statistic which is produced by a set of condenceintervals. Finally an example is provided for illustration.
http://jmmrc.uk.ac.ir/article_565_9b6106918b31e2304192517ca5e6d9d5.pdf
Analysis of covariance
Condence interval
Fuzzy test statis-
tic
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2014-01-26
2
1
43
52
10.22103/jmmrc.2014.651
651
MODULE GENERALIZED DERIVATIONS ON TRIANGULAUR BANACH
ALGEBRAS
MAYSAM MOSADEQ
maysammosaddegh@yahoo.com
1
DEPARTMENT OF MATHEMATICS, BEHBAHAN BRANCH, ISLAMIC AZAD UNIVERSITY, BEHBAHAN, IRAN.
Let $A_1$, $A_2$ be unital Banach algebras and $X$ be an $A_1$-$A_2$- module. Applying the concept of module maps, (inner) modulegeneralized derivations and generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $A_i$ into the dual space $A^*_i$ (for$i=1,2$) and such derivations from the triangular Banach algebraof the form $mathcal{T} :=left(begin{array}{lc} A_1 &X 0 & A_2end{array}right)$ into the associated triangular $mathcal{T}$- bimodule $mathcal{T}^*$ of theform $mathcal{T}^*:=left(begin{array}{lc} A_1^* &X^* 0 & A_2^*end{array}right)$. In particular, we show that the so-called generalized first cohomology group from $mathcal{T}$ to $mathcal{T}^*$ is isomorphic to the directed sum of the generalized first cohomology group from $A_1$ to $A^*_1$ and the generalized first cohomology group from $A_2$ to $A_2^*$
http://jmmrc.uk.ac.ir/article_651_f8472fd9184204cb80234359c53e8bf4.pdf
Generalized amenable Banach algebra
Generalized rst cohomology group
Module generalized derivation
Triangular Banach algebra
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2014-07-27
2
1
53
63
10.22103/jmmrc.2014.668
668
ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH
A. EBRAHIMZADEH
abolfazl35@yahoo.com
1
M. EBRAHIMI
2
ISLAMIC AZAD UNIVERSITY
SHAHID BAHONAR UNIVERSITY OF KERMAN,
Let $G$ be a finite simple graph whose vertices and edges are weighted by two functions. In this paper we shall define and calculate entropy of a dynamical system on weights of the graph $G$, by using the weights of vertices and edges of $G$. We examine the conditions under which entropy of the dynamical system is zero, possitive or $+infty$. At the end it is shown that, for $rin [0,+infty]$, there exists an order preserving transformation with entropy $r$.
http://jmmrc.uk.ac.ir/article_668_c8cc0ec3fc6ccd9671fdeffe88d2f7b2.pdf
Dynamical system
Entropy
Order preserving transformation
Weight
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2251-7952
2014-07-27
2
1
65
82
10.22103/jmmrc.2014.669
669
MODIFICATION OF THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR
LANE-EMDEN TYPE EQUATIONS
BAHMAN GHAZANFARI,
bahman ghazanfari@yahoo.com
1
NAHID YARI
nahidyari70@yahoo.com
2
LORESTAN UNIVERSITY,
LORESTAN UNIVERSITY
In this paper, modication of the optimal homotopy asymptotic method (MOHAM) is appliedupon singular initial value Lane-Emden type equations and results are compared with the available exactsolutions. The modied algorithm give the exact solution for dierential equations by using one iterationonly.
http://jmmrc.uk.ac.ir/article_669_cd4af10cde20a92204bc02ff716450d8.pdf
Optimal homotopy asymptotic method
Lane-Emden equations
singular initial value problems