Title of article :
Fuzzy µ∗-Open Set and Fuzzy µ∗-Continuous Function
Author/Authors :
Chettri ، Pankaj Department of Mathematics - Sikkim Manipal Institute of Technology - Sikkim Manipal University Majitar , Bhandari ، Bishal Department of Mathematics - Sikkim Manipal Institute of Technology - Sikkim Manipal University Majitar
Abstract :
The prime goal of this article is to initiate the notion of fuzzy µ∗-open(closed) sets and fuzzy µ∗-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 gener-alized fuzzy topology. Furthermore, the relationship of these fuzzy sets and fuzzy continuity with some existing fuzzy notions are es-tablished. Also the notion of fuzzy (τ, µ∗)-open(closed) functions is introduced and their equivalent conditions with fuzzy µ∗-continuous functions are established.
Keywords :
nd phrases. Generalized fuzzy topology , Fuzzy µ∗ , open (closed) set , Fuzzy µ∗ , continuous function , Fuzzy (τ , µ∗) , closed (open) function. ,
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
