Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
03
2015
12
17
An algorithm for determining common weights by concept of membership function
165
172
EN
S.
Saati
Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran
s_saatim@iau-tnb.ac.ir
N.
Nayebi
Department of Mathematics, North Tehran Branch,
Islamic Azad University, Tehran, Iran
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 multi-objective 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.
Data Envelopment Analysis (DEA),Cross efficiency,Membership function,Common Set of Weights,Multi-objective programming problem
http://jlta.iauctb.ac.ir/article_520400.html
http://jlta.iauctb.ac.ir/article_520400_89cecb97be58dcac6b2d9ab306c55083.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
03
2015
12
01
Application of triangular functions for solving the vasicek model
173
182
EN
Z.
Sadati
Department of Mathematics, Khomein Branch, Islamic
Azad University, Khomein, Iran
sadatizahra501@gmail.com
Kh.
Maleknejad
Department of Mathematics, Khomein Branch, Islamic
Azad University, Khomein, Iran
zahra_sadati47@yahoo.com
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.
Triangular functions,Stochastic operational matrix,Vasicek model,collocation method
http://jlta.iauctb.ac.ir/article_516259.html
http://jlta.iauctb.ac.ir/article_516259_edea5f32e8bdef11a754c16a1aac2551.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
03
2015
12
01
Lie higher derivations on $B(X)$
183
192
EN
S.
Ebrahimi
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
seebrahimi2272@gmail.com
Let $X$ be a Banach space of $dim X > 2$ and $B(X)$ be the space of bounded linear operators on X. If $L : B(X)to B(X)$ be a Lie higher derivation on $B(X)$, then there exists an additive higher derivation $D$ and a linear map $tau : B(X)to FI$ vanishing at commutators $[A, B]$ for all $A, Bin B(X)$ such that $L = D + tau$.
Lie derivation,Lie higher derivations,higher derivations
http://jlta.iauctb.ac.ir/article_516229.html
http://jlta.iauctb.ac.ir/article_516229_5cd9d40875331014fc106bff3e33fd01.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
03
2016
01
01
Bernoulli collocation method with residual correction for solving integral-algebraic equations
193
208
EN
F.
Mirzaee
Faculty of Mathematical Sciences and Statistics, Malayer University,
P. O. Box 65719-95863, Malayer, Iran
f.mirzaee@malayeru.ac.ir
The principal aim of this paper is to serve the numerical solution of an integral-algebraic 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. This method 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.
Integral algebraic equations,Approximate solutions,Bernoulli collocation method,error analysis
http://jlta.iauctb.ac.ir/article_516842.html
http://jlta.iauctb.ac.ir/article_516842_b82d4fd2970845181637244d212a6e37.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
03
2015
12
16
On the girth of the annihilating-ideal graph of a commutative ring
209
216
EN
M.
Ahrari
Department of Mathematics, Islamic Azad University,
Central Tehran Branch, Tehran, Iran
mar.ahrari.sci@iauctb.ac.ir
Sh. A.
Safari Sabet
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
sh_safarisabet@iauctb.ac.ir
B.
Amini
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
bamini@shirazu.ac.ir
The annihilating-ideal 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 $gr(AG(R))neq 3$.
annihilating-ideal graph,star graph,bipartite graph,girth
http://jlta.iauctb.ac.ir/article_516843.html
http://jlta.iauctb.ac.ir/article_516843_242d8c3e381dbd84b96ba0414f2b9501.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
03
2015
12
19
Analytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations
217
228
EN
M.
Matinfar
Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
m.matinfar@umz.ac.ir
A.
Riahifar
Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
abbas.riahifar@yahoo.com
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 integro-differential equations of the second kind. The nonlinear part of integro-differential 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.
Nonlinear Volterra integro-differential equations,Laplace Transform method,Modified Adomian decomposition method
http://jlta.iauctb.ac.ir/article_517016.html
http://jlta.iauctb.ac.ir/article_517016_69bd423e8499ffd9419710a86701e387.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
03
2016
01
01
On fuzzy soft connected topological spaces
229
240
EN
S.
Karataş
Department of Mathematics, Ordu University, 52200, Turkey
posbiyikliadam@gmail.com
B.
Kılıccedil
Department of Mathematics, Ordu University, 52200, Turkey
burak-kilic-61@hotmail.com
M.
Tellioğlu
Department of Mathematics, Ordu University, 52200, Turkey
m.uykun.tellioglu@outlook.com
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, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.
Fuzzy soft set,fuzzy soft topological space,fuzzy soft connectedness
http://jlta.iauctb.ac.ir/article_519630.html
http://jlta.iauctb.ac.ir/article_519630_5d16ded940a76f9f5d182667e7fcdac4.pdf