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
Summary
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
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