On A-somewhat fuzzy continuous functions
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In this paper, a new form of somewhat fuzzy continuity, called A-somewhat fuzzy continuity between fuzzy topological spaces, is introduced. Several characterizations of these functions are obtained and a condition for an fuzzy α-continuous function to become an A-somewhat fuzzy continuous function is established. It is shown that A-somewhat fuzzy continuous function from the fuzzy hyperconnected space into another fuzzy topological space is not an somewhat fuzzy continuous function. The conditions by means of A-somewhat fuzzy continuous functions for the fuzzy hyperconnected and fuzzy strongly irresolvable spaces to become fuzzy Baire spaces, are also obtained.
Abstract
In this paper, a new form of somewhat fuzzy continuity, called A-somewhat fuzzy continuity between fuzzy topological spaces, is introduced. Several characterizations of these functions are obtained and a condition for an fuzzy α-continuous function to become an A-somewhat fuzzy continuous function is established. It is shown that A-somewhat fuzzy continuous function from the fuzzy hyperconnected space into another fuzzy topological space is not an somewhat fuzzy continuous function. The conditions by means of A-somewhat fuzzy continuous functions for the fuzzy hyperconnected and fuzzy strongly irresolvable spaces to become fuzzy Baire spaces, are also obtained.
참고문헌 (29)
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