Fuzzy ideals and fuzzy filters of bounded semihoops

ABSTRACT

In this research paper, we present the concept of fuzzy ideals and fuzzy filters within bounded semihoops, examining their properties. We derive several characterizations for the smallest fuzzy ideals and filters containing a given fuzzy set. Furthermore, we analyze the properties and characterizations of prime fuzzy ideals, prime fuzzy filters, fuzzy primary ideals, and fuzzy primary filters. Lastly, we explore the fuzzy congruence relation associated with fuzzy (primary) ideals and fuzzy (primary) filters.

KEYWORDS:

• Semihoops
• fuzzy ideals
• fuzzy filters
• fuzzy primary ideals
• fuzzy primary filters
• fuzzy congruence relations

MATHEMATICS SUBJECT CLASSIFICATION:

• 03G25
• 06F99
• 94D99

Disclosure statement

No potential conflict of interest was reported by the author(s).