TY - JOUR
ID - 705808
TI - Fuzzy $\mu^*$-Open Set and Fuzzy $\mu^*$-Continuous Function
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Chettri, Pankaj
AU - Bhandari, Bishal
AD - Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University Majitar, Rangpoo East Sikkim, India.
Y1 - 2023
PY - 2023
VL - 20
IS - 4
SP - 105
EP - 116
KW - Generalized fuzzy topology
KW - Fuzzy $\mu^*$-open (closed) set
KW - Fuzzy $\mu^*$-continuous function
KW - Fuzzy $(\tau
KW - \mu^*)$-closed (open) function
DO - 10.22130/scma.2023.1973748.1204
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_705808.html
L1 - https://scma.maragheh.ac.ir/article_705808_827b0eda5f24f6238afd03acd622351c.pdf
ER -