2015
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3
3
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An algorithm for determining common weights by concept of membership function
2
2
Data envelopment analysis (DEA) is a method to evaluate the relative efficiency of decision making units (DMUs). In this method, the issue has always been to determine a set of weights for each DMU which often caused many problems. Since the DEA models also have the multiobjective linear programming (MOLP) problems nature, a rational relationship can be established between MOLP and DEA problems to overcome the problem of determining weights. In this study, a membership function was defined base on the results of CCR model and cross efficiency, and by using this membership function in a proposed model, we obtained a common set of weights for all DMUs. Finally, by solving a sample problem, the proposed algorithm was explained.
1

165
172


S.
Saati
Dep. of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, IRAN
Dep. of Mathematics, North Tehran Branch,
Iran
s_saatim@iautnb.ac.ir


N.
Nayebi
Department of Mathematics, North Tehran Branch,
Islamic Azad University, Tehran, Iran
Department of Mathematics, North Tehran Branch,
Is
Iran
Data envelopment analysis (DEA)
Cross efficiency
Membership function
Common Set of Weights
Multiobjective programming problem
Application of triangular functions for solving the vasicek model
2
2
This paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations and $2m+2$ unknowns. Finally, the error analysis and some numerical examples are provided to demonstrate applicability and accuracy of this method.
1

173
182


Z
Sadati
Department of Mathematics, Khomein Branch, Islamic
Azad University, Khomein, Iran
Department of Mathematics, Khomein Branch,
Iran
sadatizahra501@gmail.com


KH
Maleknejad
Department of Mathematics, Khomein Branch, Islamic
Azad University, Khomein, Iran
Department of Mathematics, Khomein Branch,
Iran
zahra_sadati47@yahoo.com
Triangular functions
Stochastic operational matrix
Vasicek model
Collocation method
Lie higher derivations on B(X)
2
2
Let X be a Banach space of dimX > 2 and B(X) be the space of bounded linear operators on X. If L : B(X) → B(X) be a Lie higher derivation on B(X), then there exists an additive higher derivation D and a linear map τ : B(X) → FI vanishing at commutators [A, B] for all A, B ∈ B(X) such that L = D + τ
1

183
192


S
Ebrahimi
payame noor university
payame noor university
Iran
seebrahimi2272@gmail.com
Lie derivation
Lie higher derivations
higher derivations
Bernoulli collocation method with residual correction for solving integralalgebraic equations
2
2
The principal aim of this paper is to serve the numerical solution of an integralalgebraic equation (IAE) by using the Bernoulli polynomials and the residual correction method. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients. Thismethod gives an analytic solution when the exact solutions are polynomials. Also, an error analysis based on the use of the Bernoulli polynomials is provided under several mild conditions. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods.
1

193
208


F
Mirzaee
Malayer University
Malayer University
Iran
f.mirzaee@malayeru.ac.ir
Integral algebraic equations
Approximate solutions
Bernoulli collocation method
Error Analysis
On the girth of the annihilatingideal graph of a commutative ring
2
2
The annihilatingideal graph of a commutative ring $R$ is denoted by $AG(R)$, whose vertices are all nonzero ideals of $R$ with nonzero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ=0$. In this article, we completely characterize rings $R$ when $gr(AG(R))neq 3$.
1

209
216


M
Ahrari
Department of Mathematics, Islamic Azad University,
Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University
Iran
mar.ahrari.sci@iauctb.ac.ir


Sh. A.
Safari Sabet
Department of Mathematics, Islamic Azad Uni
versity, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad Uni
versi
Iran
sh_safarisabet@iauctb.ac.ir


B
Amini
Department of Mathematics, College of Sciences, Shiraz
University, Shiraz, Iran
Department of Mathematics, College of Sciences,
Iran
bamini@shirazu.ac.ir
annihilatingideal graph
star graph
bipartite graph
girth
AnalyticalApproximate Solution for Nonlinear Volterra IntegroDierential Equations
2
2
In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integrodifferential equations of the second kind. The nonlinear part of integrodifferential is approximated by Adomian polynomials, and the equation is reduced to a simple equations. The proper implementation of combine Laplace transform and modified Adomian decomposition method can extremely minimize the size of work if compared to existing traditional techniques. Moreover, three particular examples are discussed to show the reliability and the performance of method.
1

217
228


M
Matinfar
Science of Mathematics Faculty, Department of Mathematics, University of Mazandaran,
P.O.Box 4741695447, Babolsar, Iran
Science of Mathematics Faculty, Department
Iran
m.matinfar@umz.ac.ir


A
Riahifar
University of Mazandaran
University of Mazandaran
Iran
abbas.riahifar@yahoo.com
Nonlinear Volterra integrodifferential equations
Laplace Transform method
Modified Adomian decomposition method
On fuzzy soft connected topological spaces
2
2
In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, C_iconnectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.
1

229
240


S
Karataş
Ordu University
Ordu University
Iran
posbiyikliadam@gmail.com


B
Kılıç
Ordu University
Ordu University
Iran
burakkilic61@hotmail.com


M
Tellioğlu
Ordu University
Ordu University
Iran
m.uykun.tellioglu@outlook.com
Fuzzy soft set
fuzzy soft topological space
fuzzy soft connectedness