In this paper, a new notion of fuzzy contra-continuity, called fuzzy contra-somewhat continuity between fuzzy topological spaces, is introduced. Several characterizations of these functions are obtained. It is shown that fuzzy contra-somewhat continuous functions are somewhat fuzzy continuous functions. Conditions for somewhat fuzzy continuous functions to become fuzzy contra-somewhat continuous functions are obtained. The conditions for the fuzzy hyper connected spaces to become fuzzy Baire spaces and fuzzy almost resolvable spaces are also obtained by means of fuzzy contra-somewhat fuzzy continuous functions.

fuzzy dense set, fuzzy somewhere dense set, fuzzy β-open set, somewhat fuzzy continuous function, fuzzy β-continuous function, fuzzy hyper connected space, fuzzy Baire space.

Received: June 7, 2021; Accepted: July 18, 2021; Published: July 24, 2021

How to cite this article: Thangaraj and S. Senthil, On fuzzy contra-somewhat continuous functions, Advances in Fuzzy Sets and Systems 26(2) (2021), 117-144. DOI: 10.17654/FS026020117

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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