On γ - locally closed sets in fuzzy bitopological space

Abstract

The main objective of this paper is to introduce the notion of (i, j)-fuzzy γ -locally closed set in fuzzy bitopological space and to obtain various basic properties of the new notion. Also, we define the dual form of γ -locally closed set which is termed as (i, j)-fuzzy γ -locally open set and show that it is a stronger form of 𝜏𝑖𝜏𝑗 -fuzzy b-locally open set. Finally, we study the notion of (i, j)-fuzzy γ -LC-continuous function and (i, j)-fuzzy γ -LC-irresolute function as an application of the newly defined concept and establish the relationships with some already existing functions.

Keywords

• fuzzy bitopological space
• (i- j) - fuzzy γ -open set
• (i-j)-fuzzy γ - locally closed set
• (i-j)-fuzzy γ -LC-continuous function