Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
03
2016
09
01
On weakly eR-open functions
145
153
EN
M
Ozkoc
Department of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University,
Mente¸se-Mu˘gla 48000 Turkey
murad.ozkoc@mu.edu.tr
B S
Ayhan
Department of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University,
Mente¸se-Mu˘gla 48000 Turkey
brcyhn@gmail.com
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 cite{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
http://jlta.iauctb.ac.ir/article_523459.html
http://jlta.iauctb.ac.ir/article_523459_965772dcd07cd70d9c10eda457e89b49.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
03
2016
09
01
The directional hybrid measure of efficiency in data envelopment analysis
155
174
EN
A
Mirsalehy
University Putra Malaysia. Malaysia
mirsalehi_ali@yahoo.com
M
Rizam Abu Baker
University Putra Malaysia. Malaysia
drrizam@gmail.com
L
Soon Lee
Universiti Putra Malaysia. Malaysia
Gh. R
Jahanshahloo
Science and research Branch. Islamic Azad University. Iran
jahanshahloomath@gmail.com
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
http://jlta.iauctb.ac.ir/article_517034.html
http://jlta.iauctb.ac.ir/article_517034_80d6c14ebabb98ba413c8b41fc120b9c.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
03
2016
09
01
Fuzzy soft ideals of near-subraction semigroups
175
186
EN
Ch
Veerappan
Annamalai University.
kv.chinnadurai@yahoo.com
K
Sambanthamoorthy
Annamalai university.
kadalarasi89@gmail.com
Our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand 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
http://jlta.iauctb.ac.ir/article_524085.html
http://jlta.iauctb.ac.ir/article_524085_e39d7ff3f5c14c1e244e837611f4a88b.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
03
2016
09
01
Solving systems of nonlinear equations using decomposition technique
187
198
EN
M
Nili Ahmadabadi
mneely59@hotmail.com
F
Ahmad
Spain
fayyaz.ahmad@upc.edu
G
Yuan
China
glyuan@gxu.edu.cn
X
Li
China
lixiangli@guet.edu.cn
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 ecient scheme. For the construction of our proposed iterative method, we used a decomposition technique that naturally provides dierent 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 eciency
http://jlta.iauctb.ac.ir/article_524857.html
http://jlta.iauctb.ac.ir/article_524857_6572b470cc9d4c904abea53fb8a3a6ea.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
03
2016
09
01
Some topological operators via grills
199
204
EN
A
Azzam
Assuite University
azzam0911@yahoo.com
A
Nasef
*Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafr
El-Sheikh University, Kafr El-Sheikh, Egypt.
nasefa50@yahoo.com
In this paper, we dene and study two operators s and s with grill.Characterization and basic properties of these operators are obtained. Also,we generalize a grill topological spaces via topology s induced from operatorss and s.
Grill topological spaces, s,G , s,G-operators and sG
http://jlta.iauctb.ac.ir/article_525062.html
http://jlta.iauctb.ac.ir/article_525062_2678d7cbe7af3d23cf51561b3a1c54cb.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
03
2016
09
01
Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
205
214
EN
B
Zamanifar
AZAD UNIVERSITY
behnaz_zamanifar@yahoo.com
In this paper at first , we discuss about nonlinear pseudoparabolic equations with nonlocalboundary conditions and their results.At second we use an effective error estimation for this method altough has not yet beendiscussed. The aim of this paper is to fill this gap.
Reproducing kernel method,Error estimation,nonlinear pseudoparabolic equation
http://jlta.iauctb.ac.ir/article_524858.html
http://jlta.iauctb.ac.ir/article_524858_e3e3210dee99a7e55ac8a68f0a0347dd.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
05
03
2016
09
01
m-Projections involving Minkowski inverse and range symmetric property in Minkowski space
215
228
EN
M. S.
Lone
Dept.of Mathematics, Annamalai University, Chidambaram, Tamilnadu India - 608002
saleemlone9@gmail.com
D.
Krishnaswamy
Associate Professor, Dept. of Mathematics, Annamalai University, Annamalainagar, Chidambaram, Tamilnadu
krishna_swamy2004@yahoo.co.in
In this paper we study the impact of Minkowski metric matrix on a projection in theMinkowski Space M along with their basic algebraic and geometric properties.The relationbetween the m-projections and the Minkowski inverse of a matrix A in the minkowski spaceMis derived. In the remaining portion commutativity of Minkowski inverse in Minkowski SpaceM is analyzed in terms of m-projections as an analogous development and extension of theresults on EP matrices.
Minkowski inverse,m-projections,Range Symmetric,EP matrix
http://jlta.iauctb.ac.ir/article_525146.html
http://jlta.iauctb.ac.ir/article_525146_ebf619fdee9f44143ab552bf44a422e6.pdf