Abstract

In this paper, we introduce the notion of intuitionistic fuzzy α-generalized closed sets in intuitionistic fuzzy minimal structure spaces and investigate some of their properties. Further, we introduce and study the concept of intuitionistic fuzzy α-generalized minimal continuous functions.

Highlights

  • The concept of fuzzy sets was introduced by Zadeh [1] and later Atanassov [2] generalized this idea to intuitionistic fuzzy sets

  • Coker [3] introduced the notion of intuitionistic fuzzy topological space and other related concepts

  • The concept of minimal open set has been introduced by Nakaoka and Oda [4] in 2001

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Summary

Introduction

The concept of fuzzy sets was introduced by Zadeh [1] and later Atanassov [2] generalized this idea to intuitionistic fuzzy sets. Coker [3] introduced the notion of intuitionistic fuzzy topological space and other related concepts. The concept of intuitionistic fuzzy generalized minimal open set has been introduced by Bhattacharya et al [5] in 2008. Intuitionistic fuzzy α-generalized closed sets and its properties in intuitionistic fuzzy topology was introduced and studied in [6] [7]. We introduce the notion of intuitionistic fuzzy α-generalized closed sets and intuitionistic fuzzy α-generalized* closed sets in intuitionistic fuzzy topological spaces and investigate some of their properties. We introduce and study the concept of intuitionistic fuzzy α-generalized minimal continuous functions

Preliminaries
On Intuitionistic Fuzzy α-Generalized Minimal Closed Sets
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