Preopenness Degree in RL‐Fuzzy Bitopological Spaces

O. H. Khalil, K. E. El-Helow and A. Ghareeb

Abstract and Applied Analysis, 2022, vol. 2022, issue 1

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.

Date: 2022
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https://doi.org/10.1155/2022/9210694

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2022:y:2022:i:1:n:9210694

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