2018-02-19T08:15:35Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=113180
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2016
05
03
On weakly eR-open functions
M.
Ozkoc
B. S.
Ayhan
The main goal of this paper is to introduce and study a new class of function via the notions of $e$-$theta$-open sets and $e$-$theta$-closure operator which are defined by Özkoç and Aslım [10] called weakly $eR$-open functions and $e$-$theta$-open functions. Moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing topological functions.
$e$-closed set
$e$-$theta$-open set
weakly $eR$-open function
$e$-$theta$-open function
2016
09
01
145
153
http://jlta.iauctb.ac.ir/article_523459_965772dcd07cd70d9c10eda457e89b49.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2016
05
03
The directional hybrid measure of efficiency in data envelopment analysis
A.
Mirsalehy
M.
Rizam Abu Baker
L. S.
Lee
Gh. R.
Jahanshahloo
The efficiency measurement is a subject of great interest. The majority of studies on DEA models have been carried out using radial or non-radial approaches regarding the application of DEA for the efficiency measurement. This paper, based on the directional distance function, proposes a new generalized hybrid measure of efficiency under generalized returns to scale with the existence of both radial and non-radial inputs and outputs. It extends the hybrid measure of efficiency from Tone (2004) to a more general case. The proposed model is not only flexible enough for the decision-maker to adjust the radial and non-radial inputs and outputs to attain the efficiency score but also avoids the computational and interpretive difficulties, thereby giving rise to an important clarification and understanding of the generalized DEA model. Furthermore, several frequently-used DEA models (such as the CCR, BCC, ERM and SBM models) which depend on the radial or non-radial approaches are derived while their results were compared to the ones obtained from this hybrid model. The empirical examples emphasize the consequence of the proposed measure.
Data Envelopment Analysis
Directional distance function
hybrid model
Efficiency score
2016
09
01
155
174
http://jlta.iauctb.ac.ir/article_517034_80d6c14ebabb98ba413c8b41fc120b9c.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2016
05
03
Fuzzy soft ideals of near-subraction semigroups
V.
Chinnadurai
S.
Kadalarasi
Our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroups and fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.
Near-subtraction semigroup, fuzzy soft set, fuzzy soft near-subtraction
semigroup, fuzzy soft ideal
2016
09
01
175
186
http://jlta.iauctb.ac.ir/article_524085_e39d7ff3f5c14c1e244e837611f4a88b.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2016
05
03
Solving systems of nonlinear equations using decomposition technique
M.
Nili Ahmadabadi
F.
Ahmad
G.
Yuan
X.
Li
A systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of Newton multi-step method. The auxiliary function provides us the way to overcome the singularity and ill-conditioning of the Jacobian. The order of convergence of proposed p-step iterative method is p + 1. Only one Jacobian inversion in the form of LU-factorization is required for a single iteration of the iterative method and in this way, it oers an efficient scheme. For the construction of our proposed iterative method, we used a decomposition technique that naturally provides different iterative schemes. We also computed the computational convergence order that confirms the claimed theoretical order of convergence. The developed iterative scheme is applied to large scale problems, and numerical results show that our iterative scheme is promising.
systems of nonlinear equations
Decomposition
Order of convergence
Higher order methods
Computational efficiency
2016
09
21
187
198
http://jlta.iauctb.ac.ir/article_524857_6572b470cc9d4c904abea53fb8a3a6ea.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2016
05
03
Some topological operators via grills
A. A.
Nasef
A.
Azzam
In this paper, we define and study two operators $Phi^s$ and $Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $tau^s$ induced from operators $Phi^s$ and $Psi^s$.
Grill topological spaces
$Phi^s_G$
$Ψ^s_G$-operators and $tau^s_G$
2016
09
22
199
204
http://jlta.iauctb.ac.ir/article_525062_2678d7cbe7af3d23cf51561b3a1c54cb.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2016
05
03
Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
B.
Zamanifar
T.
Lotfi
In this paper we discuss about nonlinear pseudoparabolic equations with nonlocal boundary conditions and their results. An effective error estimation for this method altough has not yet been discussed. The aim of this paper is to fill this gap.
Reproducing kernel method
Error estimation
nonlinear pseudoparabolic equation
2016
09
13
205
214
http://jlta.iauctb.ac.ir/article_524858_e3e3210dee99a7e55ac8a68f0a0347dd.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2016
05
03
m-Projections involving Minkowski inverse and range symmetric property in Minkowski space
M.
Saleem Lone
D.
Krishnaswamy
In this paper we study the impact of Minkowski metric matrix on a projection in the Minkowski Space M along with their basic algebraic and geometric properties.The relation between the m-projections and the Minkowski inverse of a matrix A in the minkowski space M is derived. In the remaining portion commutativity of Minkowski inverse in Minkowski Space M is analyzed in terms of m-projections as an analogous development and extension of the results on EP matrices.
Minkowski inverse
m-projections
Range Symmetric
EP matrix
2016
11
07
215
228
http://jlta.iauctb.ac.ir/article_525146_ebf619fdee9f44143ab552bf44a422e6.pdf