eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-09-01
06
02
91
107
533321
Smooth biproximity spaces and P-smooth quasi-proximity spaces
O. A. Tantawy
drosamat@yahoo.com
1
S. A. El-Sheikh
sobhyelshikh@yahoo.com
2
R. A. Majeed
rashanm6@gmail.com
3
Department of Mathematics, Faculty of Science, Zagaziq University, Cairo, Egypt
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt | Department of Mathematics, Faculty of Education Abn Al-Haitham, Baghdad University, Baghdad, Iraq
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 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.pdf
Smooth bitopological space
supra smooth proximity
smooth quasi-proximity
compatibility
FP-proximity map
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-09-01
06
02
109
123
533322
Generalized inverse of fuzzy neutrosophic soft matrix
R. Uma
uma83bala@gmail.com
1
P. Murugadas
bodi_muruga@yahoo.com
2
S. Sriram
ssm_3096@yahoo.co.in
3
Department of Mathematics, Annamalai University, Annamalainagar-608002, India
Department of Mathematics, Annamalai University, Annamalainagar-608002. India
Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608002, India
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 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.pdf
Fuzzy Neutrosophic Soft Set (FNSS)
Fuzzy Neutrosophic Soft Matrix (FNSM)
g-inverse
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-09-05
06
02
125
134
533323
Fuzzy $bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces
A. Vadivel
avmaths@gmail.com
1
B. Vijayalakshmi
mathvijaya2006au@gmail.com
2
Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu 608 002, India
Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu 608 002, India
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.
http://jlta.iauctb.ac.ir/article_533323_8524bd2f3ab8a19c58ef499ab71899c5.pdf
fuzzy $bigwedge_e$ set
fuzzy $bigvee_e$ set
fuzzy locally $bigwedge_e$ set
fuzzy $bigwedge_e$ continuity
fuzzy locally $bigwedge_e$ continuity
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-09-01
06
02
135
146
533324
On the energy of non-commuting graphs
M. Ghorbani
mghorbani@srttu.edu
1
Z. Gharavi-Alkhansari
hg.paper@gmail.com
2
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-136, Iran
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-136, Iran
For 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.pdf
non-commuting graph
characteristic polynomial
linear group
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-09-10
06
02
147
161
533325
An implicit finite difference scheme for analyzing the effect of body acceleration on pulsatile blood flow through a stenosed artery
A. Haghighi
ah.haghighi@gmail.com
1
N. Aliashrafi
naliashrafi@yahoo.com
2
N. Asghary
nasim.asghary@gmail.com
3
Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran
Department of Mathematics, Urmia University of Thechnology, Urmia, Iran
Department of Mathematics, Islamic azad university, Central Tehran Branch, Tehran, Iran
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 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.pdf
Blood Flow
Stenosed Artery
Crank-Nicolson Scheme
Body acceleration
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-09-17
06
02
163
170
533326
Initial value problems for second order hybrid fuzzy differential equations
M. Otadi
mahmoodotadi@yahoo.com
1
Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran
Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia
http://jlta.iauctb.ac.ir/article_533326_84907608358b2c620c2a23ef832db33f.pdf
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
1999-11-30
06
02
171
190
533327
Minimal solution of fuzzy neutrosophic soft matrix
M. Kavitha
kavithakathir3@gmail.com
1
P. Murugadas
bodi_muruga@yahoo.com
2
S. Sriram
ssm_3096@yahoo.co.in
3
Department of Mathematics, Annamalai University, Annamalainagar-608002, India
Department of Mathematics, Government Arts college (Autonomous), Karur, India
Mathematics Wing, Directorate of Distance Education, Annamalai University, Annamalainagar-608002, India
The 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
Fuzzy Neutrosophic Soft Set (FNSS)
Fuzzy Neutrosophic Soft Matrix (FNSM)
linear system of equation
unique solvability
strong regularity algorithms