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_δ-sets in fuzzy quasi-F-spaces makes them as fuzzy non-hyperconnected spaces.

fuzzy -set, fuzzy -set, fuzzy dense set, fuzzy residual set, fuzzy Volterra space, fuzzy Oz-space, fuzzy nodef space, fuzzy open hereditarily irresolvable space, fuzzy P-space.

Received: October 24, 2024; Accepted: December 23, 2024; Published: December 28, 2024

How to cite this article: G. Thangaraj and S. Muruganantham, On fuzzy quasi-F-spaces, Advances in Fuzzy Sets and Systems 29(2) (2024), 69-98. http://dx.doi.org/10.17654/0973421X24004

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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