Abstract
In this paper we introduce some types of fuzzy soft separated sets and study some of thier preperties. Next, the notion of connectedness in fuzzy topological spaces due to Ming and Ming, Zheng etc., extended to fuzzy soft topological spaces. The relationship between these types of connectedness in fuzzy soft topological spaces is investigated with the help of number of counter examples.
Highlights
After Zadeh [26] introduced the notion of a fuzzy set in 1965, Chang [4] used that concept to define fuzzy topology
The notion of fuzzy soft sets was introduced as a fuzzy generalizations of soft sets and some basic properties of fuzzy soft sets are discussed in detail
We extend the notion of connectedness of fuzzy topological space to fuzzy soft topological space
Summary
After Zadeh [26] introduced the notion of a fuzzy set in 1965, Chang [4] used that concept to define fuzzy topology. Maji et al [13] defined and studied several basic notions of soft set theory in 2003. Shabir and Naz [21] introduced the concept of soft topological space. Maji et al combined fuzzy sets and soft sets and introduced the concept of fuzzy soft sets. In 2013, Bayramov et al [4] studied the soft path connectedness on soft topological spaces. We extend the notion of connectedness of fuzzy topological space to fuzzy soft topological space. We study the characterization of connectedness in fuzzy soft setting
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