The purpose of this paper is to define the product related neutrosophic topological space and proved some theorems based on this. We introduce the concept of neutrosophic semiopen sets and neutrosophic semi-closed sets in neutrosophic topological spaces and derive some of their characterization. Finally, we analyze neutrosophic semi-interior and neutrosophic semi-closure operators also. Mathema...

In this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.Our results are supported by examples and counterexamples.

‎in this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. moreover, we study some more properties of this type of closed spaces.

The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$- limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets.

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 f...

The aim of this work is to introduce a new class nano semi-open sets in topological spaces which called Sβ-open spaces. Also, we study the relationship between some types near open with class. exactly lie Sp-open and sets.

For a semi-Pfa an set, i.e., a real semianalytic set de ned by equations and inequalities between Pfa an functions in an open domain G, the frontier and closure in G are represented as semi-Pfa an sets. The complexity of this representation is estimated in terms of the complexity of the original set. Introduction. Pfa an functions introduced by Khovanskii [K] are analytic functions satisfying a...

Bin Chen 2013 Soft Semi-Open Sets and Related Properties in Soft Topological Spaces. Applied Mathematics and Information Sciences, No. 1, (2013), 287-294. Gnanambal Ilango, Arun, B. , and Saravana Kumar, K. 2014. Some Properties of Soft ?-Open Sets in Soft Topological Space. IOSR Journal of Mathematics, Vol. 9, Issue 6 (Jan 2014), 20-24. Kannan, K. 2012. Soft Generalized-Closed Sets in Soft Top...

Let G = (V, E) be a simple, finite, undirected graph. Let k, r be positive integers. A set S  V (G) is called (k, r)-semi strongly stable set if | (u) S|  k, for all u V (G). A partition of V(G) into (k, r)-semi strongly stable sets is called (k, r)-semi strong coloring of G. The minimum order of a (k, r)-semi strong coloring of G is called (k, r)-semi strong chromatic number of G and it is...

The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.