$ps-ro$ $\beta$-Open (Closed) Fuzzy Sets and Related Fuzzy Function and Continuity

Chettri, Pankaj; Thapa, Gaurav; Chettri, Anamika

doi:10.22130/scma.2022.527982.928

Document Type : Research Paper

Authors

Department of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.

https://doi.org/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

20.1001.1.23225807.2022.19.3.6.5

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Sahand Communications in Mathematical Analysis

$ps-ro$ $\beta$-Open (Closed) Fuzzy Sets and Related Fuzzy Function and Continuity

References

References

Volume 19, Issue 3
September 2022
Pages 77-92

$ps-ro$ $\beta$-Open (Closed) Fuzzy Sets and Related Fuzzy Function and Continuity

References

References

Volume 19, Issue 3September 2022Pages 77-92

Volume 19, Issue 3
September 2022
Pages 77-92