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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국지능시스템학회 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol.23 No.4
- 발행연도
- 2023.12
- 수록면
- 436 - 447 (12page)
- DOI
- 10.5391/IJFIS.2023.23.4.436
이용수
초록· 키워드
오류제보하기
In this study, the fuzzy prime ideal theorem is established by adopting an unusual technique of quasi-coincident (overlapping) fuzzy sets. Subsequently, the intriguing applications of the fuzzy prime ideal theorem verify its substantial importance in fuzzy algebra. Every proper fuzzy ideal in a distributive lattice L is the intersection of the fuzzy prime ideals of L. The author also proved that the existence of a fuzzy prime ideal in a sublattice of L ensures the existence of a fuzzy prime ideal in L. Moreover, the classical prime ideal theorem for lattices is a corollary of the fuzzy prime ideal theorem.
목차
Abstract
1. Introduction
2. Preliminaries
3. Some Characterizations
4. Fuzzy Sublattice (Ideal, Dual Ideal) Generated by a Fuzzy Set
5. Fuzzy Prime Ideal Theorem
6. Conclusion
References
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