eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-17
04
03
165
172
520400
An algorithm for determining common weights by concept of membership function
S. Saati
s_saatim@iau-tnb.ac.ir
1
N. Nayebi
2
Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_520400_89cecb97be58dcac6b2d9ab306c55083.pdf
Data Envelopment Analysis (DEA)
Cross efficiency
Membership function
Common Set of Weights
Multi-objective programming problem
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
03
173
182
516259
Application of triangular functions for solving the vasicek model
Z. Sadati
sadatizahra501@gmail.com
1
Kh. Maleknejad
zahra_sadati47@yahoo.com
2
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
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.
http://jlta.iauctb.ac.ir/article_516259_edea5f32e8bdef11a754c16a1aac2551.pdf
Triangular functions
Stochastic operational matrix
Vasicek model
collocation method
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
03
183
192
516229
Lie higher derivations on $B(X)$
S. Ebrahimi
seebrahimi2272@gmail.com
1
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
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 $L = D + tau$.
http://jlta.iauctb.ac.ir/article_516229_5cd9d40875331014fc106bff3e33fd01.pdf
Lie derivation
Lie higher derivations
higher derivations
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-01-01
04
03
193
208
516842
Bernoulli collocation method with residual correction for solving integral-algebraic equations
F. Mirzaee
f.mirzaee@malayeru.ac.ir
1
Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran
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.
http://jlta.iauctb.ac.ir/article_516842_b82d4fd2970845181637244d212a6e37.pdf
Integral algebraic equations
Approximate solutions
Bernoulli collocation method
error analysis
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-16
04
03
209
216
516843
On the girth of the annihilating-ideal graph of a commutative ring
M. Ahrari
mar.ahrari.sci@iauctb.ac.ir
1
Sh. A. Safari Sabet
sh_safarisabet@iauctb.ac.ir
2
B. Amini
bamini@shirazu.ac.ir
3
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran
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 $gr(AG(R))neq 3$.
http://jlta.iauctb.ac.ir/article_516843_242d8c3e381dbd84b96ba0414f2b9501.pdf
annihilating-ideal graph
star graph
bipartite graph
girth
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-19
04
03
217
228
517016
Analytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations
M. Matinfar
m.matinfar@umz.ac.ir
1
A. Riahifar
abbas.riahifar@yahoo.com
2
Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
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.
http://jlta.iauctb.ac.ir/article_517016_69bd423e8499ffd9419710a86701e387.pdf
Nonlinear Volterra integro-differential equations
Laplace Transform method
Modified Adomian decomposition method
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-01-01
04
03
229
240
519630
On fuzzy soft connected topological spaces
S. Karataş
posbiyikliadam@gmail.com
1
B. Kılıccedil
burak-kilic-61@hotmail.com
2
M. Tellioğlu
m.uykun.tellioglu@outlook.com
3
Department of Mathematics, Ordu University, 52200, Turkey
Department of Mathematics, Ordu University, 52200, Turkey
Department of Mathematics, Ordu University, 52200, Turkey
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.
http://jlta.iauctb.ac.ir/article_519630_5d16ded940a76f9f5d182667e7fcdac4.pdf
Fuzzy soft set
fuzzy soft topological space
fuzzy soft connectedness