The main objective of this paper is to introduce the notion of (i, j)-fuzzyγ -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.
