Abstract
In our paper, we present three novel concepts related to the normal separation property within the realm of fuzzy bitopological spaces (FPTS), specifically focusing on pairwise fuzzy normal bitopological spaces (FPN). These notions are introduced in a quasi-coincidence sense, and we establish relationships between our propositions and other existing ones. Furthermore, we provide proofs demonstrating that all the introduced concepts exhibit the ‘good extension’ property. Notably, we observe that our notions maintain their characteristics under one-one, onto, fuzzy pairwise open (FP-open), fuzzy closed (FP-closed), and fuzzy pairwise continuous (FP-continuous) mappings.
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