Research Paper Approximations and expansions
1. Smooth biproximity spaces and P-smooth quasi-proximity spaces

O. A. Tantawy; S. A. El-Sheikh; R. A. Majeed

Volume 06, Issue 02 , Spring 2017, Pages 91-107

Abstract
  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 ...  Read More

Research Paper Fuzzy
2. Generalized inverse of fuzzy neutrosophic soft matrix

R. Uma; P. Murugadas; S. Sriram

Volume 06, Issue 02 , Spring 2017, Pages 109-123

Abstract
  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 ...  Read More

Research Paper General topology
3. Fuzzy $\bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces

A. Vadivel; B. Vijayalakshmi

Volume 06, Issue 02 , Spring 2017, Pages 125-134

Abstract
  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 $\bigwedge_e$ ...  Read More

Research Paper Combinatorics
4. On the energy of non-commuting graphs

M. Ghorbani; Z. Gharavi-Alkhansari

Volume 06, Issue 02 , Spring 2017, Pages 135-146

Abstract
  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 $x, y\in V(\Gamma)$ are adjacent whenever $xy \neq yx$. The aim of this paper is to compute the spectra of some well-known NC-graphs.  Read More

Research Paper Partial differential equations
5. An implicit finite difference scheme for analyzing the effect of body acceleration on pulsatile blood flow through a stenosed artery

A. Haghighi; N. Aliashrafi; N. Asghary

Volume 06, Issue 02 , Spring 2017, Pages 147-161

Abstract
  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 ...  Read More

Research Paper Difference and functional equations
6. Initial value problems for second order hybrid fuzzy differential equations

M. Otadi

Volume 06, Issue 02 , Spring 2017, Pages 163-170

Abstract
  Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia  Read More

Research Paper Linear and multilinear algebra; matrix theory
7. Minimal solution of fuzzy neutrosophic soft matrix

M. Kavitha; P. Murugadas; S. Sriram

Volume 06, Issue 02 , Spring 2017, Pages 171-190

Abstract
  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 ...  Read More