In this paper, we introduce a new class of Bi-topological space called Bi*-topological space. Also, introduce and study Bi*-topological properties of bi∗-open (bi∗∗-open) sets and bi∗-closed (bi∗∗-closed) sets, etc. Moreover, introduce and study some type of sets in Bi∗-topological space and also some type of continuous functions in Bi∗-topological space

In this paper, we present the idea of intuitionistic fuzzy ideals in intuitionistic fuzzy supra topological spaces. Also present the intuitionistic fuzzy S-local function in order to find a new intuitionistic fuzzy supra topologies from original one. Moreover, we introduce a Scompatible intuitionistic fuzzy ideal. Finally, we introduce and study some type of sets in intuitionistic fuzzy ideal supra topological spaces and introduce and study some of continuous functions in intuitionistic fuzzy ideal supra topological space.

In this paper, we introduce the concept of fuzzy ideal supra compactness and fuzzy ideal supra connectednessen in fuzzy supra topological spaces and study some of the properties and characterizations of fuzzy ideal supra compactness and fuzzy ideal supra connectednessen.