Abstract
In this article, we introduce the notion of \((\alpha -\beta )\)-level spaces by considering the concept of fuzzy bitopological space (shortly, fbts). We also define the fuzzy bitopological \((\alpha -\beta )\)-Hausdorff space and, with the help of \((\alpha -\beta )^{*}\)-disjoint sets, the idea of fuzzy bitopological \((\alpha -\beta )^{*}\)-Hausdorff space is introduced as well as investigate related results. Two new notions of shading families are presented and called \((\alpha -\beta )\)-shading and \((\alpha -\beta )^{*}\)-shading. Further, we define the notions of fuzzy bitopological \((\alpha -\beta )\)-compact space involving \((\alpha -\beta )\)-shading, fuzzy bitopological locally \((\alpha -\beta )\)-compact and fuzzy bitopological \((\alpha -\beta )\)-connected spaces and obtain several interesting results. Moreover, we give some illustrative examples to indicate the validity of aforesaid notions.
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12 October 2022
A Correction to this paper has been published: https://doi.org/10.1007/s00500-022-07564-0
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Kameswari, M., Mohiuddine, S.A., Lakshmana Gomathi Nayagam, V. et al. On level spaces of fuzzy bitopological spaces. Soft Comput 26, 11287–11293 (2022). https://doi.org/10.1007/s00500-022-07382-4
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DOI: https://doi.org/10.1007/s00500-022-07382-4