Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201050320160901On weakly eR-open functions145153523459ENM.OzkocDepartment of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University,
Mente¸se-Mu˘gla 48000, Turkey0000-0003-0068-7415B. S.AyhanDepartment of Mathematics, Faculty of Science Mu˘gla Sıtkı Ko¸cman University,
Mente¸se-Mu˘gla 48000, TurkeyJournal Article20160328The 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201050320160901The directional hybrid measure of efficiency in data envelopment analysis155174517034ENA.MirsalehyUniversity Putra Malaysia, MalaysiaM.Rizam Abu BakerLaboratory of Computational Statistics and Operations Research, Institute of Mathematical
Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, MalaysiaL. S.LeeLaboratory of Computational Statistics and Operations Research, Institute of Mathematical
Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, MalaysiaGh. R.JahanshahlooDepartment of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, IranJournal Article20151106The 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201050320160901Fuzzy soft ideals of near-subraction semigroups175186524085ENV.ChinnaduraiDepartment of Mathematics, Annamalai University, Annamalainagar,
PO. Code 608002, Tamilnadu, IndiaS.KadalarasiDepartment of Mathematics, Annamalai University, Annamalainagar,
PO. Code 608002, Tamilnadu, IndiaJournal Article20160622Our 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201050320160921Solving systems of nonlinear equations using decomposition technique187198524857ENM.Nili AhmadabadiDepartment of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, IranF.AhmadDepartament de Fsica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Comte
d'Urgell 187, 08036 Barcelona, SpainG.YuanCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi,
530004, P.R. ChinaX.LiSchool of Mathematics and Computing Science, Guangxi Colleges and Universities Key
Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology,
Guilin, Guangxi, ChinaJournal Article20160710A 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201050320160922Some topological operators via grills199204525062ENA. A.NasefDepartment of Physics and Engineering Mathematics , Faculty of Engineering,
Kafr El-Sheikh University, Kafr El-Sheikh, EgyptA.AzzamDepartment of Mathematics, Faculty of Science, Assuit University,
New Valley, EgyptJournal Article20160320In 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201050320160913Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space205214524858ENB.ZamanifarDepartment of Mathematics, Hamedan Branch,
Islamic Azad University, Hamedan, IranT.LotfiDepartment of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, IranJournal Article20151116In 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201050320161107m-Projections involving Minkowski inverse and range symmetric property in Minkowski space215228525146ENM.Saleem LoneDepartment of Mathematics, Annamalai University, Chidambaram,
PO. Code 608002, Tamilnadu, IndiaD.KrishnaswamyDepartment of Mathematics, Annamalai University, Chidambaram,
PO. Code 608002, Tamilnadu, IndiaJournal Article20160719In 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