Title of article :
ps − ro β-Open (Closed) Fuzzy Sets and Related Fuzzy Function and Continuity
Author/Authors :
Chettri, Pankaj Department of Mathematics - Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India , Thapa, Gaurav Department of Mathematics - Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India , Chettri, Anamika Department of Mathematics - Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India
Abstract :
In this paper, the notion of ps − ro β-open (closed)
fuzzy sets on a fuzzy topological space(f ts) has been introduced as
a new tool to study f ts, the properties of these sets are investigated
and shown to be unrelated to the common concept of fuzzy β-open
(closed) sets. Based on these fuzzy sets, ps − ro fuzzy β-continuity
and ps − ro fuzzy β-open (closed) functions are proposed and they
are also found to be different from the idea of fuzzy β-continuous
and fuzzy β-open (closed) functions, respectively. Further, their
characterizations and relationships with existing allied concepts are
investigated.
Keywords :
Fuzzy β-open , Pseudo regular open fuzzy topology , ps−ro β-open(closed) fuzzy sets , ps − ro fuzzy β-continuity , ps − ro fuzzy β-open(closed) function
Journal title :
Sahand Communications in Mathematical Analysis
