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Thangaraj, G.; Senthil, S.

On almost contra-somewhat fuzzy continuous functions. (English) Zbl 07873015

South East Asian J. Math. Math. Sci. 19, No. 3, 215-232 (2023).
Summary: In this paper, a new notion of fuzzy contra-continuity, called almost contra-somewhat fuzzy continuity between fuzzy topological spaces, is introduced. Several characterizations of these functions are obtained and it is shown that fuzzy almost contra-semi continuous functions are almost contra-somewhat fuzzy continuous functions. The conditions under which fuzzy hyper connected spaces become the fuzzy Baire spaces, fuzzy second category spaces and fuzzy almost irresolvable spaces, are obtained by means of almost contra-somewhat fuzzy continuous functions.

MSC:

54A40 Fuzzy topology
03E72 Theory of fuzzy sets, etc.

Keywords:

fuzzy dense set; fuzzy regular closed set; fuzzy \(\beta\)-open set; fuzzy resolvable sets; fuzzy almost contra-semi continuous function; fuzzy hyper connected space; fuzzy Baire space
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References:

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