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 ESSENTIAL $P$-SPACES

Authors

  • G. Thangaraj
  • A. Vinothkumar

Keywords:

fuzzy $G_\delta$-set, fuzzy $F_\sigma$-set, fuzzy dense set, fuzzy residual set, fuzzy door space, fuzzy almost $P$-space, fuzzy submaximal space, fuzzy perfectly disconnected space, fuzzy weakly Baire space.

DOI:

https://doi.org/10.17654/0973421X22012

Abstract

In this paper, the concept of a fuzzy essential $P$-space is introduced. A condition for a fuzzy door space to become a fuzzy essential $P$-space is presented. It is obtained that fuzzy essential $P$-spaces are fuzzy almost $P$-spaces, and that fuzzy weakly Baire and fuzzy essential $P$-spaces are neither fuzzy perfectly disconnected nor fuzzy hereditarily irresolvable. Fuzzy hyperconnected and fuzzy essential $P$-spaces are found to be fuzzy semi-$P$-spaces.

Received: March 14, 2022
Accepted: June 21, 2022

References

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Published

2022-12-26

Issue

Vol. 27 No. 2 (2022)

Section

Articles

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How to Cite

ON FUZZY ESSENTIAL $P$-SPACES. (2022). Advances in Fuzzy Sets and Systems, 27(2), 253-273. https://doi.org/10.17654/0973421X22012

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