On fuzzy γµ-open sets in generalized fuzzy topological spaces

Authors

  • Birojit Das National Institute of Technology.
  • Jayasree Chakraborty National Institute of Technology.
  • Baby Bhattacharya National Institute of Technology.

DOI:

https://doi.org/10.22199/issn.0717-6279-4784

Keywords:

fuzzy γμ-open set, regular γμ-operation, fuzzy minimal γμ-open set, fuzzy γμ-locally finite space

Abstract

In this paper, we explore the existence of operation approach on open sets in a generalized fuzzy topological space. We introduce the concept of fuzzy γµ-open set and study some basic properties of it. We obtain an interesting result that the intersection of two fuzzy γµ-open sets may not be a fuzzy γµ-open set, but if the operation is regular then the intersection becomes a fuzzy γµ-open set. We also initiate the notions of fuzzy minimal γµ-open set and fuzzy γµ-locally finite space and establish various results related to these.

Author Biographies

Birojit Das, National Institute of Technology.

Department of Mathematics.

Jayasree Chakraborty, National Institute of Technology.

Department of Mathematics.

Baby Bhattacharya, National Institute of Technology.

Department of Mathematics.

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Published

2022-06-01

How to Cite

[1]
B. Das, J. Chakraborty, and B. Bhattacharya, “On fuzzy γµ-open sets in generalized fuzzy topological spaces”, Proyecciones (Antofagasta, On line), vol. 41, no. 3, pp. 733-749, Jun. 2022.

Issue

Vol. 41 No. 3 (2022)

Section

Artículos

Copyright (c) 2022 Birojit Das, Jayasree Chakraborty, Baby Bhattacharya

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