ψ*-closed sets in fuzzy topological spaces

Authors

Department of Mathematics and Computer Sciences, Faculty of Science, Menoufia University, Shibin el Kom, Egypt

https://doi.org/10.1186/s42787-020-00087-3

Abstract

In this paper, we introduce a new class of fuzzy sets, namely, fuzzy ψ*-closed sets for
fuzzy topological spaces, and some of their properties have been proved. Further, we
introduce fuzzy ψ*-continuous, fuzzy ψ*-irresolute functions, and fuzzy ψ*-closed
(open) functions, as applications of these fuzzy sets, fuzzy T1/5-spaces, fuzzy T ψ1=5 -spaces, and fuzzy ψ*
T1/5-spaces.

Keywords