Universal Journal of Mathematics and Mathematical Sciences

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ON FUZZY $Q$-SPACES

Authors

  • Ganesan Thangaraj
  • Annamalai Vinothkumar

Keywords:

fuzzy semi-open set, fuzzy -open set, fuzzy somewhere dense set, fuzzy residual set, fuzzy EZ-space, fuzzy hyperconnected space, fuzzy Baire space, fuzzy regular space, fuzzy second category space, fuzzy maximal space, fuzzy Brown space

DOI:

https://doi.org/10.17654/2277141725006

Abstract

By combining fuzzy extremally disconnectedness and fuzzy open hereditarily irresolvablity of fuzzy topological spaces, the notion of fuzzy Q-space is introduced in this article. Various properties of this notion are discussed and conditions under which fuzzy extremely disconnected spaces become fuzzy Q-spaces are obtained. Fuzzy Q-spaces are found to be fuzzy second category spaces but not fuzzy Baire spaces and fuzzy Q-spaces are not fuzzy -complemented spaces.

Received: June 25, 2025
Revised: July 5, 2025
Accepted: August 4, 2025

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Published

2025-10-18

Issue

Vol. 21 No. 2 (2025)

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Articles

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Copyright (c) 2025 Pushpa Publishing House, Prayagraj, India

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How to Cite

ON FUZZY $Q$-SPACES. (2025). Universal Journal of Mathematics and Mathematical Sciences, 21(2), 91-119. https://doi.org/10.17654/2277141725006