@article { author = {Chettri, Pankaj and Thapa, Gaurav and Chettri, Anamika}, title = {$ps-ro$ $\beta$-Open (Closed) Fuzzy Sets and Related Fuzzy Function and Continuity}, journal = {Sahand Communications in Mathematical Analysis}, volume = {19}, number = {3}, pages = {77-92}, year = {2022}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2022.527982.928}, abstract = {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.}, keywords = {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}, url = {https://scma.maragheh.ac.ir/article_254913.html}, eprint = {https://scma.maragheh.ac.ir/article_254913_2e02080a3ac15f31844e1a75ddab8034.pdf} }