On Characterizations of Some Types of Fuzzy Soft Sets in Fuzzy Soft Bitopological Spaces

In this paper, we introduce and study the notion of kernal operator in fuzzy soft bitopological space. Moreover, some important results related to this notion are obtained. Furthermore, we introduce the concept of Alexandroff fuzzy soft topology and the concept of Ƭ1Ƭ2-Λ-fuzzy soft sets is presented and it is proved that the family of all Ƭ1Ƭ2-Λ-fuzzy soft sets is an Alexandroff fuzzy soft topology. In addition, we introduce and characterize a new type of fuzzy soft sets in a fuzzy soft bitopological spaces namely Ƭ1Ƭ2-λ-fuzzy soft closed set and investigate some of its basic properties. Finally, comparisons between these fuzzy soft sets are obtained.