Pankaj Chettri - Department of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.
Gaurav Thapa - Department of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.
Anamika Chettri - Department of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.

In this paper, the  notion of ps-ro \beta-open (closed) fuzzy sets on a fuzzy topological space(fts) has been introduced as a new tool to study fts, the properties of these sets are investigated and shown to be unrelated to the common concept of fuzzy \beta-open (closed) sets. Based on these fuzzy sets, ps-ro fuzzy \beta-continuity and ps-ro fuzzy \beta-open (closed) functions are proposed and they are also found to be different from the idea of fuzzy \beta-continuous and fuzzy \beta-open (closed) functions, respectively. Further, their  characterizations and relationships with existing allied concepts are investigated.

Fuzzy beta-open, Pseudo regular open fuzzy topology, ps-ro beta-open(closed) fuzzy sets, ps-ro fuzzy beta-continuity, ps-ro fuzzy beta-open(closed) function