The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...

Let a topological space. An intersection graph on a topological space , which denoted by ‎ , is an undirected graph which whose vertices are open subsets of and two vertices are adjacent if the intersection of them are nonempty. In this paper, the relation between topological properties of  and graph properties of ‎  are investigated. Also some classifications and representations for the graph ...

In this paper, by using a special family of filters $mathcal{F}$ on an EQ-algebra $E$, we construct a topology $mathcal{T}_{mathcal{mathcal{F}}}$ on $E$ and show that $(E,mathcal{T}_{mathcal{F}})$ is a topological EQ-algebra. First of all, we give some properties of topological EQ-algebras and investigate the interaction of topological EQ-algebras and quotient topological EQ-algebras. Then we o...

We introduce and discuss shape-based models for finding the best interpolation data in compression of images with noise. The aim is to reconstruct missing regions by means minimizing a fitting term $L^2$-norm between their reconstructed counterparts using time-dependent PDE inpainting. analyze proposed framework $\Gamma$-convergence from two different points view. First, we consider continuous ...

we study topological von neumann regularity and principal von neumann regularity of banach algebras. our main objective is comparing these two types of banach algebras and some other known banach algebras with one another. in particular, we show that the class of topologically von neumann regular banach algebras contains all $c^*$-algebras, group algebras of compact abelian groups and cer...

Concepts such as energy dependence, random deployment, dynamic topological update, self-organization, varying large number of nodes are among many factors that make WSNs a type of complex system. However, when analyzing WSNs properties using complex network tools, classical topological measures must be considered with care as they might not be applicable in their original form. In this work, we...

This paper presents a new compression method for embedded core-based system-on-a-chip test. In addition to the new compression method, this paper analyzes the three test data compression environment (TDCE) parameters: compression ratio, area overhead and test application time, and explains the impact of the factors which influence these three parameters. The proposed method is based on a new Va...

A Cantor minimal system is of finite topological rank if it has a Bratteli-Vershik representation whose number vertices per level uniformly bounded. We prove that the dynamical on set then all its factors have as well. This gives an affirmative answer to question posed by Donoso, Durand, Maass, and Petite.

Compression neuropathy includes a heterogeneous group of focal neuropathy syndromes related to peripheral nerve compression. Although acute or chronic compression-related injury may occur in essentially any peripheral nerve, certain anatomic considerations may predispose certain nerves to intrinsic or extrinsic compression-related injury. The clinical presentations of specific compression or en...