In this paper, several characterizations of fuzzy Baire sets and fuzzy pseudo-open sets in fuzzy topological spaces are established. It is obtained that fuzzy Baire sets in fuzzy hyperconnected and fuzzy second category (but not fuzzy Baire) spaces are fuzzy nowhere dense sets. It is observed that in fuzzy perfectly disconnected spaces, fuzzy regular closed sets and fuzzy residual sets are generating fuzzy Baire sets. Moreover, it is established that fuzzy pseudo-open sets are fuzzy simply* open sets in fuzzy D-Baire topological spaces.

fuzzy residual set, fuzzy -set, fuzzy simply* open set, fuzzy D-Baire space, fuzzy perfectly disconnected space, fuzzy almost P-space, fuzzy extremally disconnected space.

Received: October 4, 2022; Revised: February 15, 2023; Accepted: May 20, 2023

How to cite this article: G. Thangaraj and N. Raji, On fuzzy Baire sets and fuzzy pseudo-open sets, Advances in Fuzzy Sets and Systems 28(1) (2023), 31-64. http://dx.doi.org/10.17654/0973421X23003

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

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