Application of operation approach in fuzzy bitopological spaces

The central objective of this treatise is to introduce the concept \((j,k)^*_\gamma \) ${(j,k)}_{\gamma }^{\ast }$ –operation in fuzzy bitopological spaces. The same operation is applied to study the concept of \((j,k)^*\) ${(j,k)}^{\ast }$ -fuzzy open sets in a given fuzzy bitopological space. Existence of all the conceptions are shown by considering different operations. Various properties of the newly introduced notion are presented and justifications are provided by placing suitable examples. Furthermore, minimality of fuzzy open sets are also being studied up to some extent. Finally, results on locally finiteness of a given fuzzy bitopological space are established via operation approach.