The concepts of fuzzy soft filterbases, fuzzy soft ß -compactness, fuzzy soft quasi-coincident, fuzzy soft ß-compact sets and fuzzy soft ß-open functions are defined and investigated. Fuzzy soft filterbases are used to characterize these concepts. A comparison between these types and some different forms of ß-compactness in fuzzy soft topology is established.

In this paper, the concepts of fuzzy rough bi-closure sets, fuzzy rough bi-resolvable sets and fuzzy bi-resolvable spaces are introduced. In this connection the characterizations are established.

The purpose of this paper is to introduce the concepts of fuzzy rough ß-open sets, fuzzy rough ß-closed sets, fuzzy rough ß-interiors, fuzzy rough ß-closures, fuzzy rough ß-borders, fuzzy rough ß-frontiers and fuzzy rough ß-exteriors are introduced and studied. Some interesting properties are also discussed.

In this paper, the concepts of intuitionistic KB-closed sets, intuitionistic KAB-closed sets, intuitionistic KC-closed sets and intuitionistic KB-continuous functions, intuitionistic KAB-continuous functions, intuitionistic KC –continuous functions and intuitionistic KB-irresolute functions are introduced. Some interesting properties and characterizations are established.

The concepts of fuzzy soft filterbases, fuzzy soft ß -compactness, fuzzy soft quasi-coincident, fuzzy soft ß-compact sets and fuzzy soft ß-open functions are defined and investigated. Fuzzy soft filterbases are used to characterize these concepts. A comparison between these types and some different forms of ß-compactness in fuzzy soft topology is established.

In this paper, the concepts of fuzzy rough bi-closure sets, fuzzy rough bi-resolvable sets and fuzzy bi-resolvable spaces are introduced. In this connection the characterizations are established.

In this paper, the concepts of intuitionistic KB-closed sets, intuitionistic KAB-closed sets, intuitionistic KC-closed sets and intuitionistic KB-continuous functions, intuitionistic KAB-continuous functions, intuitionistic KC –continuous functions and intuitionistic KB-irresolute functions are introduced. Some interesting properties and characterizations are established.

In this paper, the concepts of intuitionistic KB-closed sets, intuitionistic KAB-closed sets, intuitionistic KC-closed sets and intuitionistic KB-continuous functions, intuitionistic KAB-continuous functions, intuitionistic KC –continuous functions and intuitionistic KB-irresolute functions are introduced. Some interesting properties and characterizations are established.

The concepts of fuzzy soft filterbases, fuzzy soft ß -compactness, fuzzy soft quasi-coincident, fuzzy soft ß-compact sets and fuzzy soft ß-open functions are defined and investigated. Fuzzy soft filterbases are used to characterize these concepts. A comparison between these types and some different forms of ß-compactness in fuzzy soft topology is established.

The purpose of this paper is to introduce the concepts of fuzzy rough ß-open sets, fuzzy rough ß-closed sets, fuzzy rough ß-interiors, fuzzy rough ß-closures, fuzzy rough ß-borders, fuzzy rough ß-frontiers and fuzzy rough ß-exteriors are introduced and studied. Some interesting properties are also discussed

The purpose of this paper is to introduce the concepts of fuzzy rough normal spaces, fuzzy rough weakly normal spaces, fuzzy rough almost normal spaces and fuzzy rough semi-normal spaces are introduced and studied. Some interesting properties are also discussed.