Smooth biproximity spaces and Psmooth quasiproximity spaces
O. A.
Tantawy
Department of Mathematics, Faculty of Science,
Zagaziq University, Cairo, Egypt
author
S. A.
ElSheikh
Department of Mathematics, Faculty of Education,
Ain Shams University, Cairo, Egypt
author
R. A.
Majeed
Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt

Department of Mathematics, Faculty of Education Abn AlHaitham,
Baghdad University, Baghdad, Iraq
author
text
article
2017
eng
The 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 quasiproximity 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].
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
22520201
06
v.
02
no.
2017
91
107
http://jlta.iauctb.ac.ir/article_533321_d540af7752325721fc98421347d7ed5e.pdf
Generalized inverse of fuzzy neutrosophic soft matrix
R.
Uma
Department of Mathematics, Annamalai University, Annamalainagar608002, India
author
P.
Murugadas
Department of Mathematics, Annamalai University, Annamalainagar608002. India
author
S.
Sriram
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
author
text
article
2017
eng
Neutrosophy 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 ginverse to get the solution of the above relational equations. Further, using this concept maximum and minimum ginverse of fuzzy neutrosophic soft matrix are obtained.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
22520201
06
v.
02
no.
2017
109
123
http://jlta.iauctb.ac.ir/article_533322_639b7bf9124658b2e1e4d737ed931b05.pdf
Fuzzy $\bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces
A.
Vadivel
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
author
B.
Vijayalakshmi
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
author
text
article
2017
eng
We 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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
22520201
06
v.
02
no.
2017
125
134
http://jlta.iauctb.ac.ir/article_533323_8524bd2f3ab8a19c58ef499ab71899c5.pdf
On the energy of noncommuting graphs
M.
Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
author
Z.
GharaviAlkhansari
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
author
text
article
2017
eng
For given nonabelian group G, the noncommuting (NC)graph $\Gamma(G)$ is a graph with the vertex set $G$\ $Z(G)$ and two distinct vertices $x, y\in V(\Gamma)$ are adjacent whenever $xy \neq yx$. The aim of this paper is to compute the spectra of some wellknown NCgraphs.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
22520201
06
v.
02
no.
2017
135
146
http://jlta.iauctb.ac.ir/article_533324_9f45bd65ff45087ed1b8239c49ace15d.pdf
An implicit finite difference scheme for analyzing the effect of body acceleration on pulsatile blood flow through a stenosed artery
A.
Haghighi
Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran
author
N.
Aliashrafi
Department of Mathematics, Urmia University of Thechnology, Urmia, Iran
author
N.
Asghary
Department of Mathematics, Islamic azad university, Central Tehran Branch, Tehran, Iran
author
text
article
2017
eng
With 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 nonlinear, 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 nonsymmetric but radially symmetric in order to improve resemblance to the invivo situations. The resulting system of nonlinear partial differential equations is numerically solved using the CrankNicolson 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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
22520201
06
v.
02
no.
2017
147
161
http://jlta.iauctb.ac.ir/article_533325_014d94023aabcbc5ed411a0e28073b79.pdf
Initial value problems for second order hybrid fuzzy differential equations
M.
Otadi
Department of Mathematics, Firoozkooh Branch, Islamic Azad
University, Firoozkooh, Iran
author
text
article
2017
eng
Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
22520201
06
v.
02
no.
2017
163
170
http://jlta.iauctb.ac.ir/article_533326_84907608358b2c620c2a23ef832db33f.pdf
Minimal solution of fuzzy neutrosophic soft matrix
M.
Kavitha
Department of Mathematics, Annamalai University, Annamalainagar608002, India
author
P.
Murugadas
Department of Mathematics, Government Arts college (Autonomous), Karur, India
author
S.
Sriram
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
author
text
article
2017
eng
The aim of this article is to study the concept of unique solvability of maxmin 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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch, Islamic Azad University
22520201
06
v.
02
no.
2017
171
190
http://jlta.iauctb.ac.ir/article_533327_74da956312fe45673e182a75a5660697.pdf