Abstract
In this paper we introduce some types of generalized fuzzy soft separated sets and study some of their properties. Next, the notion of connectedness in fuzzy soft topological spaces due to Karata et al, Mahanta et al, and Kandil et al., extended to generalized fuzzy soft topological spaces. The relationship between these types of connectedness in generalized fuzzy soft topological spaces is investigated with the help of number of counter examples.
Highlights
The concept of soft sets was first introduced by Molodtsov [16] as a general mathematical tool for dealing with uncertain objects
Tanay and Kandemir [21] introduced the definition of a fuzzy soft topology over a subset of the initial universe set
Roy and Samanta [18] gave the definition of fuzzy soft topology over the initial universe set
Summary
The concept of soft sets was first introduced by Molodtsov [16] as a general mathematical tool for dealing with uncertain objects. A GFSS Fμ over (X, E) is said to be a generalized fuzzy soft closed set in X [GFS closed in short], if its complement Fμc is GFS open.
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