On g*-Closed sets in fuzzy topological spaces

Abstract

In this treatise, we propose a new type of closed set in fuzzy topological spaces called g* fuzzy closed set, which is lying in between the fuzzy closed set and the generalized fuzzy closed set. Also, we study another class of fuzzy sets called θ-g* fuzzy closed sets which is weaker than θ- fuzzy closed sets but stronger than θ-g fuzzy closed sets and an interrelationships among these newly defined fuzzy closed sets along with the existing generalized fuzzy closed sets are established. Furthermore, the idea of fuzzy g*-connectedness is introduced in the light of g*-fuzzy closed sets. Finally, we define T1/2*-space, *T1/2-space, θT1/2*-space and *θT1/2-space and some applications of these newly defined spaces are discussed.