2022JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCESOpen access

PARA-COMPACTNESS CONCEPT IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

Md. Aman Mahbub

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Abstract

This paper aims to establish the para-compactness concept in intuitionistic fuzzy topological space. Here we give three new notions related to para-compactness and one new notion of IF--compactness in intuitionistic fuzzy topological space. Also, we discuss separation axioms in intuitionistic fuzzy para-compactness and some of its features. Furthermore, using some provisos we will find a relation among second countable, para-compactness, and IF--compactness in intuitionistic fuzzy topological spaces.

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What this paper is about

This paper aims to establish the para-compactness concept in intuitionistic fuzzy topological space. Here we give three new notions related to para-compactness and one new notion of IF--compactness in intuitionistic fuzzy topological space. Also, we discuss separation axioms in intuitionistic fuzzy para-compactness and some of its features. Furthermore, using some provisos we will find a relation among second countable, para-compactness, and IF--compactness in intuitionistic fuzzy topological spaces.

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Available abstract

This paper aims to establish the para-compactness concept in intuitionistic fuzzy topological space. Here we give three new notions related to para-compactness and one new notion of IF--compactness in intuitionistic fuzzy topological space. Also, we discuss separation axioms in intuitionistic fuzzy para-compactness and some of its features. Furthermore, using some provisos we will find a relation among second countable, para-compactness, and IF--compactness in intuitionistic fuzzy topological spaces.

Key concepts: Compact space, Topological space, Mathematics, Axiom, Space (punctuation), Fuzzy logic, Countable set, Pure mathematics

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