A new type of generalized closed set via γ-open set in a fuzzy bitopological space

Fuzzy Generalized γ-Closed set in Fuzzy Topological Space

Abstract. The purpose of the paper is to introduce and study the concepts of fuzzy generalized γ closed sets and study their basic properties in fuzzy topological spaces. Moreover, in this paper we define fuzzy γT1⁄2 spaces in which every fuzzy generalized γ continuous is fuzzy γ continuous. In addition, we have also introduced and studied fuzzy generalized γ connectedness and fuzzy generalized...

ROUGH SET OVER DUAL-UNIVERSES IN FUZZY APPROXIMATION SPACE

To tackle the problem with inexact, uncertainty and vague knowl- edge, constructive method is utilized to formulate lower and upper approx- imation sets. Rough set model over dual-universes in fuzzy approximation space is constructed. In this paper, we introduce the concept of rough set over dual-universes in fuzzy approximation space by means of cut set. Then, we discuss properties of rough se...

On Intuitionistic Fuzzy Weakly Generalized Closed Set and its Applications

The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy weakly generalized closed set and intuitionistic fuzzy weakly generalized open set in intuitionistic fuzzy topological space. We investigate some of their properties. Also we study the application of intuitionistic fuzzy weakly generalized closed set namely intuitionistic fuzzy wT1/2 space and intuitionisti...

On Fuzzy Generalized Α-closed Set and Its Applications

In this paper, we define and study fuzzy generalized α-closed sets and r-open sets of a given L-fuzzy topological space and prime element r ∈ P (L) and coprime element α ∈ M(L). The concept of L-fuzzy ropen sets was introduced in [10], and it was proved that all r-open sets for L-fuzzy topological space form a new L-fuzzy topology, which is called stratiform L-fuzzy topology. Making use of the ...

Centroid of a type-2 fuzzy set