ScholarWorks@경상국립대학교

초록

This paper aims to extend the concept of ideals in Sheffer stroke Hilbert algebras to the framework of intuitionistic fuzzy set theory. We introduce and define the notion of intuitionistic fuzzy ideals using intuitionistic fuzzy points and examine their structural properties. We provide several characterizations of these ideals and identify the necessary and sufficient conditions under which an intuitionistic fuzzy set qualifies as an ideal. Furthermore, we construct the (0, 1)-set associated with an intuitionistic fuzzy set and investigate the circumstances under which it forms an ideal. The study also explores the roles of intuitionistic level sets and intuitionistic q-sets in the context of ideals, offering a detailed analysis supported by illustrative examples.

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