Abstract
As a generalization of the notions of fuzzy <TEX>$\alpha-irresolute$</TEX>, fuzzy preirresolute, fuzzy irresolute and fuzzy <TEX>$\beta-irresolute$</TEX> functions, we introduce the notion of fuzzy <TEX>$\beta\alpha-continuous$</TEX> functions and investigate the relationships between fuzzy <TEX>$\beta\alpha-continuous$</TEX> functions and fuzzy separation axioms.
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