Abstract
The paper aspires to discuss the basic properties of connected spaces. Also the concept of types of intuitionistic fuzzy πgβ-connected and disconnected in intuitionistic fuzzy topological spaces are introduced and studied. The research paper of topological properties is introducedby making the idea of being connected. It turns out to be easier to think about the property that is the negation of connectedness, namely the property of disconnectedness and separable. Also the concepts of intuitionistic fuzzy πgβC5-connectedness, intuitionistic fuzzy πgβCS-connectedness, intuitionistic fuzzy πgβCM-connectedness, intuitionistic fuzzy πgβ-strongly connectedness, intuitionistic fuzzyπ β-super connectedness and obtain several properties and some characterizations concerning connectedness in these spaces are explored.
Highlights
A predominant characteristic of a topological space is the concept of connectedness and disconnectedness
Several types of fuzzy connectedness in intuitionistic fuzzy topological spaces were defined by Turnali and Coker [11] and studies these spaces very extensively and delved into various generalization too of these spaces
JenithaPremalatha and Jothimani [7] proposed herald into a new class of sets called πgβ-closed sets in intuitionistic fuzzy topological space, and these concepts have been used to define and analyse many topological properties
Summary
A predominant characteristic of a topological space is the concept of connectedness and disconnectedness. Coker [6] introduced the intuitionistic fuzzy topological spaces. Connectedness in intuitionistic fuzzy special topological spaces was introduced byOscag and Coker [6]. Several types of fuzzy connectedness in intuitionistic fuzzy topological spaces were defined by Turnali and Coker [11] and studies these spaces very extensively and delved into various generalization too of these spaces. The aim of this paper is to study πgβ-connectedness and the notions of Intuitionistic fuzzy πgβ-separated sets, Intuitionistic fuzzy πgβ-connectedness and Intuitionistic fuzzy πgβdisconnectedness is dealt with in detail Some of their types and their characterizations in Intuitionistic fuzzy topological spaces is studied. The problem focuses on the results when connectedness is replaced with πgβ–connectedness in intuitionistic fuzzy topological spaces
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