Advances in Fuzzy Sets and Systems

The Advances in Fuzzy Sets and Systems publishes original research papers in the field of fuzzy sets and systems, covering topics such as artificial intelligence, robotics, decision-making, and data analysis. It also welcomes papers on variants of fuzzy sets and algorithms for computational work.

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ON FUZZY QUASI-$F$-SPACES

Authors

  • G. Thangaraj
  • S. Muruganantham

Keywords:

Selected: fuzzy $G_\delta$-set, fuzzy $F_\sigma-set$, fuzzy dense set, fuzzy residual set, fuzzy Volterra space, fuzzy Oz-space, fuzzy nodef space, fuzzy open hereditarily irresolvable space, fuzzy $P$-space

DOI:

https://doi.org/10.17654/0973421X24004

Abstract

In this paper, the notion of fuzzy quasi-$F$-spaces is introduced and studied. The conditions under which various fuzzy topological spaces become fuzzy Volterra spaces are established. Also, the conditions for the intersection of two fuzzy regular closed sets to be a fuzzy regular closed set in fuzzy topological spaces are obtained. It is established that existence of disjoint fuzzy $G_{\delta}$-sets in fuzzy quasi-$F$-spaces makes them as fuzzy non-hyperconnected spaces.

Received: October 24, 2024
Accepted: December 23, 2024

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Published

2024-12-28

Issue

Vol. 29 No. 2 (2024)

Section

Articles

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How to Cite

ON FUZZY QUASI-$F$-SPACES. (2024). Advances in Fuzzy Sets and Systems, 29(2), 69-98. https://doi.org/10.17654/0973421X24004

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