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 BAIRE SETS AND FUZZY PSEUDO-OPEN SETS

Authors

  • G. Thangaraj
  • N. Raji

Keywords:

fuzzy residual set, fuzzy $G_\delta$-set, fuzzy simply* open set, fuzzy $D$-Baire space, fuzzy perfectly disconnected space, fuzzy almost $P$-space, fuzzy extremally disconnected space

DOI:

https://doi.org/10.17654/0973421X23003

Abstract

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.

Received: October 4, 2022 
Revised: February 15, 2023 

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Published

2023-06-30

Issue

Vol. 28 No. 1 (2023)

Section

Articles

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How to Cite

ON FUZZY BAIRE SETS AND FUZZY PSEUDO-OPEN SETS. (2023). Advances in Fuzzy Sets and Systems, 28(1), 31-64. https://doi.org/10.17654/0973421X23003

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