Abstract
This paper deals with a new type of fuzzy open-like set, viz., fuzzy pre β-open set, the class of which is strictly larger than that of fuzzy preopen set [7]. Using fuzzy pre β-open set as a basic tool, here we introduce fuzzy pre β-regular space in which fuzzy open set and fuzzy pre β-open set coincide. Here we introduce two new types of functions, viz., fuzzy pre β-continuous function, fuzzy pre β-irresolute function. The applications of these two functions on fuzzy pre β-regular space are discussed here
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