2018-06-23T06:17:21Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=112061
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
03
An algorithm for determining common weights by concept of membership function
S.
Saati
N.
Nayebi
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
2015
12
17
165
172
http://jlta.iauctb.ac.ir/article_520400_89cecb97be58dcac6b2d9ab306c55083.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
03
Application of triangular functions for solving the vasicek model
Z.
Sadati
Kh.
Maleknejad
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
2015
12
01
173
182
http://jlta.iauctb.ac.ir/article_516259_edea5f32e8bdef11a754c16a1aac2551.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
03
Lie higher derivations on $B(X)$
S.
Ebrahimi
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
2015
12
01
183
192
http://jlta.iauctb.ac.ir/article_516229_5cd9d40875331014fc106bff3e33fd01.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
03
Bernoulli collocation method with residual correction for solving integral-algebraic equations
F.
Mirzaee
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
2016
01
01
193
208
http://jlta.iauctb.ac.ir/article_516842_b82d4fd2970845181637244d212a6e37.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
03
On the girth of the annihilating-ideal graph of a commutative ring
M.
Ahrari
Sh. A.
Safari Sabet
B.
Amini
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
2015
12
16
209
216
http://jlta.iauctb.ac.ir/article_516843_242d8c3e381dbd84b96ba0414f2b9501.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
03
Analytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations
M.
Matinfar
A.
Riahifar
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
2015
12
19
217
228
http://jlta.iauctb.ac.ir/article_517016_69bd423e8499ffd9419710a86701e387.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
03
On fuzzy soft connected topological spaces
S.
Karataş
B.
Kılıccedil
M.
Tellioğlu
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
2016
01
01
229
240
http://jlta.iauctb.ac.ir/article_519630_5d16ded940a76f9f5d182667e7fcdac4.pdf