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2022 Preopenness Degree in RL-Fuzzy Bitopological Spaces
O. H. Khalil, K. E. El-Helow, A. Ghareeb
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Abstr. Appl. Anal. 2022: 1-8 (2022). DOI: 10.1155/2022/9210694

Abstract

Based on the concept of pseudocomplement, we introduce a new representation of preopenness of L-fuzzy sets in RL-fuzzy bitopological spaces. The concepts of pairwise RL-fuzzy precontinuous and pairwise RL-fuzzy preirresolute functions are extended and discussed based on the i,j-RL-preopen gradation. Further, we follow up with a study of pairwise RL-fuzzy precompactness in RL-fuzzy bitopological spaces of an L-fuzzy set. We find that our paper offers more general results since RL-fuzzy bitopology is a generalization of L-bitopology, RL-bitopology, and L-fuzzy topology.

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O. H. Khalil. K. E. El-Helow. A. Ghareeb. "Preopenness Degree in RL-Fuzzy Bitopological Spaces." Abstr. Appl. Anal. 2022 1 - 8, 2022. https://doi.org/10.1155/2022/9210694

Information

Received: 8 November 2021; Revised: 20 December 2021; Accepted: 31 January 2022; Published: 2022
First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/9210694

Rights: Copyright © 2022 Hindawi

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