Issue:

SSRSMI, Number 2, Volume XXXII

Section:

Volume 32, Number 2

Abstract:

This paper deals with a new type of fuzzy open-like set, viz., fuzzy pre-semiopen set, the class of which is strictly larger than that of fuzzy preopen sets and fuzzy s ∗ -open sets. Using this concept as a basic tool, here we introduce fuzzy pre-semiclosure operator which is an idempotent operator. Afterwards, we introduce the notion of fuzzy pre-semi-regular space in which the class of all fuzzy closed sets and that of all fuzzy pre-semiclosed sets coincide. Lastly, we introduce and characterize two types of functions, viz., fuzzy pre-semi-continuous and fuzzy pre-semi-irresolute functions, classes that are strictly larger than that of fuzzy almost s-continuous and fuzzy almost s ∗ -continuous functions, respectively, and establish some applications of these two classes of functions on fuzzy pre-semi-regular spaces.

Keywords:

Fuzzy semiopen set, fuzzy pre-semiopen set, fuzzy pre-semi-regular space, fuzzy pre-semi-continuous function, fuzzy pre-semi-irresolute function.

Code [ID]:

SSRSMI202202V32S01A0002 [0005522]

Note:

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