Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
05
03
2016
09
01
On weakly eRopen functions
145
153
EN
M.
Ozkoc
0000000300687415
Department of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University,
Mente¸seMu˘gla 48000, Turkey
murad.ozkoc@mu.edu.tr
B. S.
Ayhan
Department of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University,
Mente¸seMu˘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 [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)
22520201
23455934
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
Laboratory of Computational Statistics and Operations Research, Institute of Mathematical
Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Department of Mathematics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia
drrizam@gmail.com
L. S.
Lee
Laboratory of Computational Statistics and Operations Research, Institute of Mathematical
Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Department of Mathematics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia
Gh. R.
Jahanshahloo
Department of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, 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 nonradial 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 nonradial 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 decisionmaker to adjust the radial and nonradial 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 frequentlyused DEA models (such as the CCR, BCC, ERM and SBM models) which depend on the radial or nonradial 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)
22520201
23455934
05
03
2016
09
01
Fuzzy soft ideals of nearsubraction semigroups
175
186
EN
V.
Chinnadurai
Department of Mathematics, Annamalai University, Annamalainagar,
PO. Code 608002, Tamilnadu, India
kv.chinnadurai@yahoo.com
S.
Kadalarasi
Department of Mathematics, Annamalai University, Annamalainagar,
PO. Code 608002, Tamilnadu, India
kadalarasi89@gmail.com
Our aim in this paper is to introduce the notion of fuzzy soft nearsubtraction semigroups and fuzzy soft ideals of nearsubtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.
Nearsubtraction semigroup, fuzzy soft set, fuzzy soft nearsubtraction,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)
22520201
23455934
05
03
2016
09
21
Solving systems of nonlinear equations using decomposition technique
187
198
EN
M.
Nili Ahmadabadi
Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran
mneely59@hotmail.com
F.
Ahmad
Departament de Fsica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Comte
d'Urgell 187, 08036 Barcelona, Spain
fayyaz.ahmad@upc.edu
G.
Yuan
College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi,
530004, P.R. China
glyuan@gxu.edu.cn
X.
Li
School of Mathematics and Computing Science, Guangxi Colleges and Universities Key
Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology,
Guilin, Guangxi, China
lixiangli@guet.edu.cn
A systematic way is presented for the construction of multistep 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 multistep method. The auxiliary function provides us the way to overcome the singularity and illconditioning of the Jacobian. The order of convergence of proposed pstep iterative method is p + 1. Only one Jacobian inversion in the form of LUfactorization 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
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)
22520201
23455934
05
03
2016
09
22
Some topological operators via grills
199
204
EN
A. A.
Nasef
Department of Physics and Engineering Mathematics , Faculty of Engineering,
Kafr ElSheikh University, Kafr ElSheikh, Egypt
nasefa50@yahoo.com
A.
Azzam
Department of Mathematics, Faculty of Science, Assuit University,
New Valley, Egypt
azzam0911@yahoo.com
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 $tau^s_G$
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)
22520201
23455934
05
03
2016
09
13
Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
205
214
EN
B.
Zamanifar
Department of Mathematics, Hamedan Branch,
Islamic Azad University, Hamedan, Iran
behnaz_zamanifar@yahoo.com
T.
Lotfi
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
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
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)
22520201
23455934
05
03
2016
11
07
mProjections involving Minkowski inverse and range symmetric property in Minkowski space
215
228
EN
M.
Saleem Lone
Department of Mathematics, Annamalai University, Chidambaram,
PO. Code 608002, Tamilnadu, India
saleemlone9@gmail.com
D.
Krishnaswamy
Department of Mathematics, Annamalai University, Chidambaram,
PO. Code 608002, Tamilnadu, India
krishna_swamy2004@yahoo.co.in
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 mprojections 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 mprojections as an analogous development and extension of the results on EP matrices.
Minkowski inverse,mprojections,Range Symmetric,EP matrix
http://jlta.iauctb.ac.ir/article_525146.html
http://jlta.iauctb.ac.ir/article_525146_ebf619fdee9f44143ab552bf44a422e6.pdf