Abstract
We introduce r-fuzzy β-open (closed) sets in Ŝostak's fuzzy topological spaces. We investigate some properties of them. Moreover, we introduce and study fuzzy β-irresolute function, fuzzy β-irresolute open (closed) function and fuzzy strongly semi β-irresolute function in Ŝostak's fuzzy topological spaces. Some of their characteristic properties are considered. Also, we investigate the relationships between these classes of functions.
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