Connectedness in C ̌ech Fuzzy Soft Closure Spaces

Abstract

The notion of ̌e ch fuzzy soft closure spaces was defined and its basic properties are introduced very newly by Majeed [1]. In the present paper, we define the notion of fuzzy soft separated sets in ̌e ch fuzzy soft closure spaces and prove some properties concerning to this notion. By using the notion of fuzzy soft separated sets we introduce and study the concept of connected in both ̌e ch fuzzy soft closure spaces and their associative fuzzy soft topological spaces. Then we introduce the concept of feebly connected, and discuss the relationship between the concepts of connected and feebly connected. Finally, we introduce several examples to clarify our results.