Fuzzy $\mu^*$-Open Set and Fuzzy $\mu^*$-Continuous Function

Chettri, Pankaj; Bhandari, Bishal

doi:10.22130/scma.2023.1973748.1204

Document Type : Research Paper

Authors

Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University Majitar, Rangpoo East Sikkim, India.

https://doi.org/10.22130/scma.2023.1973748.1204

Abstract

The prime goal of this article is to initiate the notion of fuzzy $\mu^*$-open(closed) sets and fuzzy $\mu^*$-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 generalized fuzzy topology. Furthermore, the relationship of these fuzzy sets and fuzzy continuity with some existing fuzzy notions are established. Also the notion of fuzzy $(\tau, \mu^*)$-open(closed) functions is introduced and their equivalent conditions with fuzzy $\mu^*$-continuous functions are established.

Keywords

20.1001.1.23225807.2023.20.4.7.5

Main Subjects

Fuzzy Topology

References

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Sahand Communications in Mathematical Analysis

Fuzzy $\mu^$-Open Set and Fuzzy $\mu^$-Continuous Function

References

References

Volume 20, Issue 4
September 2023
Pages 105-116

Fuzzy $\mu^*$-Open Set and Fuzzy $\mu^*$-Continuous Function

References

References

Volume 20, Issue 4September 2023Pages 105-116

Fuzzy $\mu^$-Open Set and Fuzzy $\mu^$-Continuous Function

Volume 20, Issue 4
September 2023
Pages 105-116