eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-01
05
03
145
153
523459
On weakly eR-open functions
M. Ozkoc
murad.ozkoc@mu.edu.tr
1
B. S. Ayhan
brcyhn@gmail.com
2
Department of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University, Mente¸se-Mu˘gla 48000, Turkey
Department of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University, Mente¸se-Mu˘gla 48000, Turkey
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.
http://jlta.iauctb.ac.ir/article_523459_965772dcd07cd70d9c10eda457e89b49.pdf
$e$-closed set
$e$-$theta$-open set
weakly $eR$-open function
$e$-$theta$-open function
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-01
05
03
155
174
517034
The directional hybrid measure of efficiency in data envelopment analysis
A. Mirsalehy
mirsalehi_ali@yahoo.com
1
M. Rizam Abu Baker
drrizam@gmail.com
2
L. S. Lee
3
Gh. R. Jahanshahloo
jahanshahloomath@gmail.com
4
University Putra Malaysia, Malaysia
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
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
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_517034_80d6c14ebabb98ba413c8b41fc120b9c.pdf
Data Envelopment Analysis
Directional distance function
hybrid model
Efficiency score
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-01
05
03
175
186
524085
Fuzzy soft ideals of near-subraction semigroups
V. Chinnadurai
kv.chinnadurai@yahoo.com
1
S. Kadalarasi
kadalarasi89@gmail.com
2
Department of Mathematics, Annamalai University, Annamalainagar, PO. Code 608002, Tamilnadu, India
Department of Mathematics, Annamalai University, Annamalainagar, PO. Code 608002, Tamilnadu, India
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.
http://jlta.iauctb.ac.ir/article_524085_e39d7ff3f5c14c1e244e837611f4a88b.pdf
Near-subtraction semigroup, fuzzy soft set, fuzzy soft near-subtraction
semigroup, fuzzy soft ideal
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-21
05
03
187
198
524857
Solving systems of nonlinear equations using decomposition technique
M. Nili Ahmadabadi
mneely59@hotmail.com
1
F. Ahmad
fayyaz.ahmad@upc.edu
2
G. Yuan
glyuan@gxu.edu.cn
3
X. Li
lixiangli@guet.edu.cn
4
Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Departament de Fsica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Comte d'Urgell 187, 08036 Barcelona, Spain
College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P.R. China
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
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.
http://jlta.iauctb.ac.ir/article_524857_6572b470cc9d4c904abea53fb8a3a6ea.pdf
systems of nonlinear equations
Decomposition
Order of convergence
Higher order methods
Computational efficiency
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-22
05
03
199
204
525062
Some topological operators via grills
A. A. Nasef
nasefa50@yahoo.com
1
A. Azzam
azzam0911@yahoo.com
2
Department of Physics and Engineering Mathematics , Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt
Department of Mathematics, Faculty of Science, Assuit University, New Valley, Egypt
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 $Psi^s$.
http://jlta.iauctb.ac.ir/article_525062_2678d7cbe7af3d23cf51561b3a1c54cb.pdf
Grill topological spaces
$Phi^s_G$
$Ψ^s_G$-operators and $tau^s_G$
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-09-13
05
03
205
214
524858
Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
B. Zamanifar
behnaz_zamanifar@yahoo.com
1
T. Lotfi
2
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
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.
http://jlta.iauctb.ac.ir/article_524858_e3e3210dee99a7e55ac8a68f0a0347dd.pdf
Reproducing kernel method
Error estimation
nonlinear pseudoparabolic equation
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2016-11-07
05
03
215
228
525146
m-Projections involving Minkowski inverse and range symmetric property in Minkowski space
M. Saleem Lone
saleemlone9@gmail.com
1
D. Krishnaswamy
krishna_swamy2004@yahoo.co.in
2
Department of Mathematics, Annamalai University, Chidambaram, PO. Code 608002, Tamilnadu, India
Department of Mathematics, Annamalai University, Chidambaram, PO. Code 608002, Tamilnadu, India
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.
http://jlta.iauctb.ac.ir/article_525146_ebf619fdee9f44143ab552bf44a422e6.pdf
Minkowski inverse
m-projections
Range Symmetric
EP matrix