%0 Journal Article
%T Fuzzy $\mu^*$-Open Set and Fuzzy $\mu^*$-Continuous Function
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Chettri, Pankaj
%A Bhandari, Bishal
%D 2023
%\ 09/01/2023
%V 20
%N 4
%P 105-116
%! Fuzzy $\mu^*$-Open Set and Fuzzy $\mu^*$-Continuous Function
%K Generalized fuzzy topology
%K Fuzzy $\mu^*$-open (closed) set
%K Fuzzy $\mu^*$-continuous function
%K Fuzzy $(\tau
%K \mu^*)$-closed (open) function
%R 10.22130/scma.2023.1973748.1204
%X The prime goal of this article is to initiate the notion of fuzzy $\mu^*$-open(closed) sets and fuzzy $\mu^*$-continuous functions and characterize them. These concepts are defined in a fuzzy topological space in presence of a generalized fuzzy topology, which becomes a new tool to study fuzzy topological spaces. It is observed that this class of fuzzy sets fail to form a fuzzy topology but it form a generalized fuzzy topology. Furthermore, the relationship of these fuzzy sets and fuzzy continuity with some existing fuzzy notions are established. Also the notion of fuzzy $(\tau, \mu^*)$-open(closed) functions is introduced and their equivalent conditions with fuzzy $\mu^*$-continuous functions are established.
%U https://scma.maragheh.ac.ir/article_705808_827b0eda5f24f6238afd03acd622351c.pdf