Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060220170401Smooth biproximity spaces and P-smooth quasi-proximity spaces91107533321ENO. A. TantawyDepartment of Mathematics, Faculty of Science,
Zagaziq University, Cairo, EgyptS. A. El-SheikhDepartment of Mathematics, Faculty of Education,
Ain Shams University, Cairo, EgyptR. A. MajeedDepartment of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt
Department of Mathematics, Faculty of Education Abn Al-Haitham,
Baghdad University, Baghdad, IraqJournal Article20160101The notion of smooth biproximity space where $delta_1,delta_2$ are gradation proximities defined by Ghanim et al. [10]. In this paper, we show every smooth biproximity space $(X,delta_1,delta_2)$ induces a supra smooth proximity space $delta_{12}$ finer than $delta_1$ and $delta_2$. We study the relationship between $(X,delta_{12})$ and the $FP^*$-separation axioms which had been introduced by Ramadan et al. [23]. Furthermore, we show for each smooth bitopological space which is $FP^*T_4$, the associated supra smooth topological space is a smooth supra proximal. The notion of $FP$-(resp. $FP^*$) proximity map are also introduced. In addition, we introduce the concept of $P$ smooth quasi-proximity spaces and prove that the associated smooth bitopological space $(X,tau_delta,tau_{delta^{-1}})$ satises $FP$-separation axioms in sense of Ramadan et al. [10].http://jlta.iauctb.ac.ir/article_533321_d540af7752325721fc98421347d7ed5e.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060220170401Generalized inverse of fuzzy neutrosophic soft matrix109123533322ENR. UmaDepartment of Mathematics, Annamalai University, Annamalainagar-608002, IndiaP. MurugadasDepartment of Mathematics, Annamalai University, Annamalainagar-608002. IndiaS. SriramMathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar-608002, IndiaJournal Article20170301Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Whenever A is singular we can not find A^{-1}. In that case we can use g-inverse to get the solution of the above relational equations. Further, using this concept maximum and minimum g-inverse of fuzzy neutrosophic soft matrix are obtained.http://jlta.iauctb.ac.ir/article_533322_639b7bf9124658b2e1e4d737ed931b05.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060220170401Fuzzy $bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces125134533323ENA. VadivelDepartment of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, IndiaB. VijayalakshmiDepartment of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, IndiaJournal Article20170405We introduce a new class of fuzzy open sets called fuzzy $bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $bigwedge_e$ sets termed as fuzzy locally $bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $bigwedge_e$ continuity and fuzzy locally $bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and furthermore we investigate the relationships between these new types of continuity and some others.http://jlta.iauctb.ac.ir/article_533323_8524bd2f3ab8a19c58ef499ab71899c5.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060220170401On the energy of non-commuting graphs135146533324ENM. GhorbaniDepartment of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785-136, IranZ. Gharavi-AlkhansariDepartment of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785-136, IranJournal Article20170401For given non-abelian group G, the non-commuting (NC)-graph $Gamma(G)$ is a graph with the vertex set $G$ $Z(G)$ and two distinct vertices $x, yin V(Gamma)$ are adjacent whenever $xy neq yx$. The aim of this paper is to compute the spectra of some well-known NC-graphs.http://jlta.iauctb.ac.ir/article_533324_9f45bd65ff45087ed1b8239c49ace15d.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060220170401An implicit finite difference scheme for analyzing the effect of body acceleration on pulsatile blood flow through a stenosed artery147161533325ENA. HaghighiDepartment of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, IranN. AliashrafiDepartment of Mathematics, Urmia University of Thechnology, Urmia, IranN. AsgharyDepartment of Mathematics, Islamic azad university, Central Tehran Branch, Tehran, IranJournal Article20170620With an aim to investigate the effect of externally imposed body acceleration on two dimensional,pulsatile blood flow through a stenosed artery is under consideration in this article. The blood flow has been assumed to be non-linear, incompressible and fully developed. The artery is assumed to be an elastic cylindrical tube and the geometry of the stenosis considered as time dependent, and a comparison has been made with the rigid ones. The shape of the stenosis in the arterial lumen is chosen to be axially non-symmetric but radially symmetric in order to improve resemblance to the in-vivo situations. The resulting system of non-linear partial differential equations is numerically solved using the Crank-Nicolson scheme by exploiting the suitably prescribed conditions. The blood flow characteristics such as the velocity profile, the volumetric flow rate and the resistance to flow are obtained and effects of the severity of the stenosis, the body acceleration on these flow characteristics are discussed. The present results are compared with literature and found to be in agreement.http://jlta.iauctb.ac.ir/article_533325_014d94023aabcbc5ed411a0e28073b79.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060220170401Initial value problems for second order hybrid fuzzy differential equations163170533326ENM. OtadiDepartment of Mathematics, Firoozkooh Branch, Islamic Azad
University, Firoozkooh, IranJournal Article20170516Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentiahttp://jlta.iauctb.ac.ir/article_533326_84907608358b2c620c2a23ef832db33f.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060220170401Minimal solution of fuzzy neutrosophic soft matrix171190533327ENM. KavithaDepartment of Mathematics, Annamalai University, Annamalainagar-608002, IndiaP. MurugadasDepartment of Mathematics, Government Arts college (Autonomous), Karur, IndiaS. SriramMathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar-608002, IndiaJournal Article20000522The aim of this article is to study the concept of unique solvability of max-min fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is said to have Strong, Linear Independent (SLI) column (or, in the case of fuzzy neutrosophic soft square matrices, to be strongly regular) if for some fuzzy neutrosophic soft vector b the system A⊗x = b has a unique solution. A necessary and sufficient condition for linear system of equation over a FNSA to have a unique solution is formulated and the equivalent condition for FNSM to have SLI column and Strong Regular (SR) are presented. Moreover trapezoidal algorithm for testing these properties is reviewed.http://jlta.iauctb.ac.ir/article_533327_74da956312fe45673e182a75a5660697.pdf