On Some New Types of Fuzzy Soft Compact Spaces

Abstract

In this article, we apply the concept of fuzzy soft $\delta$ -open sets to define new types of compactness in fuzzy soft topological spaces, namely, $\delta$ -compactness and ${\delta }^{\ast }$ -compactness. We explore some of their basic properties and reveal the relationships between these types and that which are defined by other authors. Also, we show that ${\delta }^{\ast }$ -compactness is more general than that which is presented in other papers. To clarify the obtained results and relationships, some illustrative examples are given.