Generalized Fuzzy Soft Connected Sets in Generalized Fuzzy Soft Topological Spaces

Mohammed Saleh Malfi; Fathi Hishem Khedr; Mohamad Azab Abd Allah

doi:10.24297/jam.v14i2.7461

Authors

Mohammed Saleh Malfi Assiut University, Assiut , Eygpt
Fathi Hishem Khedr Assiut University, Assiut, Egypt https://orcid.org/0000-0002-0901-8990
Mohamad Azab Abd Allah Assiut University, Assiut, Egypt https://orcid.org/0000-0002-1975-8298

DOI:

https://doi.org/10.24297/jam.v14i2.7461

Keywords:

Generalized fuzzy soft sets; Generalized fuzzy soft topological space; Generalized fuzzy soft separated sets; Generalized fuzzy soft Q-separated sets; Generalized fuzzy soft weakly separated sets; Generalized fuzzy soft strongly separated sets; Generalized fuzzy soft connected sets.

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.