2013
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A FUZZY COMPARISON METHOD FOR PARTICULAR FUZZY
NUMBERS
2
2
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.
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14


SAED
F. MALLAK
PALESTINE TECHNICAL UNIVERSITY KADOORIE
DEPARTMENT OF APPLIED MATHEMATICS
PALESTINE TECHNICAL UNIVERSITY KADOORIE
DEPARTMEN
Iran
s.mallak@ptuk.edu.ps,saedmallak@yahoo.com


DUHA
M. BEDO
PALESTINE TECHNICAL UNIVERSITY KADOORIE
DEPARTMENT OF APPLIED MATHEMATICS
PALESTINE TECHNICAL UNIVERSITY KADOORIE
DEPARTMEN
Iran
duha 1991 10@hotmail.com
Fuzzy Numbers
Parabolic and TrapezoidalParabolic Fuzzy Number
Comparison of Fuzzy Numbers
APPLICATION OF HAAR WAVELETS IN SOLVING NONLINEAR
FRACTIONAL FREDHOLM INTEGRODIFFERENTIAL EQUATIONS
2
2
A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integrodierential 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 Haarapproximation 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.
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H.
SAEEDI
DEPARTMENT OF MATHEMATICS, SAHID BAHONAR UNIVERSITY OF KERMAN, IRAN,
7616914111.
DEPARTMENT OF MATHEMATICS, SAHID BAHONAR
Iran
saeedi@uk.ac.ir, habibsaeedi@gmail.com
Fredholm integrodierential equations
Haar wavelets
Operational matrix
Frac tional calculus
Block Pulse Functions
ANALYSIS OF COVARIANCE BASED ON FUZZY TEST
STATISTIC
2
2
Oneway 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 oneway analysis of covariance 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.
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41


ALIREZA
JIRYAEI,
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF
KERMAN, IRAN.
DEPARTMENT OF STATISTICS, SHAHID BAHONAR
Iran
a.jiryae@gmail.com


ALIREZA
ARABPOUR
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF
KERMAN, IRAN.
DEPARTMENT OF STATISTICS, SHAHID BAHONAR
Iran
arabpour@uk.ac.ir


MASHALLAH
MASHINCHI
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF
KERMAN, IRAN.
DEPARTMENT OF STATISTICS, SHAHID BAHONAR
Iran
mashinchi@uk.ac.ir
Analysis of covariance
Condence interval
Fuzzy test statis tic
MODULE GENERALIZED DERIVATIONS ON TRIANGULAUR BANACH
ALGEBRAS
2
2
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 socalled 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 $A_2^*$
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MAYSAM
MOSADEQ
DEPARTMENT OF MATHEMATICS, BEHBAHAN BRANCH, ISLAMIC AZAD UNIVERSITY, BEHBAHAN, IRAN.
DEPARTMENT OF MATHEMATICS, BEHBAHAN BRANCH,
Iran
maysammosaddegh@yahoo.com
Generalized amenable Banach algebra
Generalized rst cohomology group
Module generalized derivation
Triangular Banach algebra
ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH
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2
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 $r$.
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63


A.
EBRAHIMZADEH
ISLAMIC AZAD UNIVERSITY
ISLAMIC AZAD UNIVERSITY
Iran
abolfazl35@yahoo.com


M.
EBRAHIMI
SHAHID
BAHONAR UNIVERSITY OF KERMAN,
SHAHID
BAHONAR UNIVERSITY OF KERMAN,
Iran
Dynamical system
Entropy
Order preserving transformation
Weight
MODIFICATION OF THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR
LANEEMDEN TYPE EQUATIONS
2
2
In this paper, modication of the optimal homotopy asymptotic method (MOHAM) is appliedupon singular initial value LaneEmden type equations and results are compared with the available exactsolutions. The modied algorithm give the exact solution for dierential equations by using one iterationonly.
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BAHMAN
GHAZANFARI,
LORESTAN UNIVERSITY,
LORESTAN UNIVERSITY,
Iran
bahman ghazanfari@yahoo.com


NAHID
YARI
LORESTAN UNIVERSITY
LORESTAN UNIVERSITY
Iran
nahidyari70@yahoo.com
Optimal homotopy asymptotic method
LaneEmden equations
singular initial value problems