Abstract: The concept of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of fuzzy sets. In 1997 Coker introduced the concept of intuitionistic fuzzy topological spaces. In 2008, Thakur and Chaturvedi introduced the notion of intuitionistic fuzzy generalized closed set in intuitionistic fuzzy topological space. After that different mathematicians worked and studied in different forms of intuitionistic fuzzy g-closed set and related topological properties. The aim of this paper is to introduce the new class of intuitionistic fuzzy closed sets called intuitionistic fuzzy g*s- closed sets in intuitionistic fuzzy topological space. The class of all intuitionistic fuzzy g*s--closed sets lies between the class of all intuitionistic fuzzy semi-closed sets and class of all intuitionistic fuzzy gspr-closed sets. We also introduce the concepts of intuitionistic fuzzy g*s-- open sets, intuitionistic fuzzy g*s-continuous mappings, intuitionistic fuzzy T*s -space, intuitionistic fuzzy T**s -space and intuitionistic fuzzy *Ts space in intuitionistic fuzzy topological spaces.
Keywords: Intuitionistic fuzzy g*s-closed sets, Intuitionistic fuzzy g*s-open sets, Intuitionistic fuzzy g*s continuous mappings, intuitionistic fuzzy T*s -space , and intuitionistic fuzzy T**s –space.
Title: INTUITIONISTIC FUZZY G*S-CLOSED SETS
Author: Jyoti Pandey Bajpai, S.S.Thakur
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
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