Exploration of pre-open sets in a fuzzy bitopological space via operation approach

Abstract

In this article, we propose an operation (i, j)(gamma)* on the set of all (i, j)*-fuzzy pre-open set in a given fuzzy bitopological space (X, tau(i),tau(j)). Using the newly introduced operation, we initiate the (i, j)(gamma)*-fuzzy pre-open set and characterize it upto some extent. Also, we explore (i, j)(gamma)*-fuzzy pre-open set in the light of minimality. Finally, we study locally finiteness of a fuzzy bitopological space via (i, j)(gamma)*-fuzzy pre-open set.