FUZZY PRE β-OPEN SET AND ITS APPLICATIONS

  • Anjana Bhattacharyya Department of Mathematics, Victoria Institution (College) 78 B, A.P.C. Road, Kolkata - 700009, INDIA
DOI: https://doi.org/10.56827/JRSMMS.2023.1002.14
Keywords: Fuzzy β-open set, fuzzy pre β-open set, fuzzy pre β-regular space, fuzzy pre β-continuous function, fuzzy pre β-irresolute function, fuzzy almost compact space.

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
Published
2023-06-30
Issue
Vol 10 No 02 (2023): J. of Ramanujan Society of Mathematics and Mathematical Sciences
Section
Research Article

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