Zα Open and Closed Mappings in Double Fuzzy Topological Spaces

We introduce and investigate some new class of mappings called double fuzzy Zα-open map and double fuzzy Zα-closed map in double fuzzy topological spaces. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between double fuzzy Z α-open and other existing mappings. AMS (2000) subject classification: 54A40.

Continuity in fuzzy bitopological ordered spaces

The aim of the present paper is to introduce and study different forms of continuity in fuzzy bitopological ordered spaces. The concepts of different mappings such as pairwise fuzzy I -continuous mappings, pairwise fuzzy D -continuous mappings, pairwise fuzzy B -continuous mappings, pairwise fuzzy I -open mappings, pairwise fuzzy D -open mappings, pairwise fuzzy B -open mappings, pairwise fuzzy I -closed mappings, pairwise fuzzy D -closed mappings and pairwise fuzzy B -closed mappings have been introduced. Some of the basic properties and characterization theorems of these mappings have been investigated.

Some remarks on fuzzy infi topological spaces

Induced fuzzy infi topological space is already introduced by Saha and Bhattacharya [Saha A.K., Bhattacharya D. 2015, Normal Induced Fuzzy Topological Spaces, Italian Journal of Pure and Applied Mathematics, 34, 45-56]. In this paper for the said space, we further analyse some properties viz. fuzzy I-continuity, fuzzy infi open mappings and fuzzy infi closed mappings etc. Also we study product fuzzy infi topological space and establish some results concerned with it.

Delta – Open Sets And Delta – Continuous Functions

In 1968 Velicko [30] introduced the concepts of δ-closure and δ-interior operations. We introduce and study properties of δ-derived, δ-border, δ-frontier and δ-exterior of a set using the concept of δ-open sets. We also introduce some new classes of topological spaces in terms of the concept of δ-D- sets and investigate some of their fundamental properties. Moreover, we investigate and study some further properties of the well-known notions of δ-closure and δ-interior of a set in a topological space. We also introduce δ-R0 space and study its characteristics. We also introduce δ-R0 space and study its characteristics. We introduce δ-irresolute, δ-closed, pre-δ-open and pre -δ-closed mappings and investigate properties and characterizations of these new types of mappings and also explore further properties of the well-known notions of δ-continuous and δ-open mappings.

On πgβ–Closed Sets and Mappings in Neutrosophic Topological Spaces

The real life situations always include indeterminacy. The Mathematical tool which is well known to deal with indeterminacy is Neutrosophy. The notion of Neutrosophic set is generally referred as the generalization of Intuitionistic fuzzy set. The Purpose of this article is to define the new class of sets called πgβ-closed sets in Neutrosophic topological spaces. The properties and characterizations of πgβclosed sets are discussed and its relationships with other Neutrosophic sets are studied. Further we define πgβ –closed mappings and πgβ –open sets and some of its properties are touched upon.