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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제14권 제4호
- 발행연도
- 2017.10
- 수록면
- 371 - 379 (9page)
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초록· 키워드
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The notion of an Almost Distributive Lattice (ADL) is a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebra and Boolean rings. In this paper, we introduce the notion of $L$-fuzzy ideal of an ADL with truth values in a complete lattice $L$ satisfying the infinite meet distributive law and prove certain properties of these. Mainly, it is proved that the class of $L$-fuzzy ideals of an ADL forms a complete distributive lattice.
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참고문헌 (12)
참고문헌 신청
G. Birkhoff / 1967 / Lattice Theory, Colloquium Publications / Amer. Math. Soc. 25
J. A. Goguen / 1967 / L-fuzzy sets / J. Math. Anal. Appl 18:145~174
W. J. Liu / 1982 / Fuzzy invariant subgroups and fuzzy ideals / fuzzy sets and systems 8:133~139
T. Ramarao / 2013 / Fuzzy Ideals and Filters of lattices / Asian Journal of current Engineering and Maths 2:297~300
A. Rosenfeld / 1971 / Fuzzy groups / J. Maths. Anal. Appl 35:512~517
J. A. Goguen / 1967 / L-fuzzy sets / J. Math. Anal. Appl 18:145~174
W. J. Liu / 1982 / Fuzzy invariant subgroups and fuzzy ideals / fuzzy sets and systems 8:133~139
T. Ramarao / 2013 / Fuzzy Ideals and Filters of lattices / Asian Journal of current Engineering and Maths 2:297~300
A. Rosenfeld / 1971 / Fuzzy groups / J. Maths. Anal. Appl 35:512~517
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