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Fuzzy ideals of almost distributive lattices
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논문 기본 정보

Type
Academic journal
Author
U. M. Swamy (Andhra University) Ch. Santhi Sundar Raj (Andhra University) Natnael Teshale A. (Andhra University)
Journal
원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제14권 제4호 KCI Accredited Journals
Published
2017.10
Pages
371 - 379 (9page)

Usage

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Fuzzy ideals of almost distributive lattices
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Abstract· Keywords

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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.
#$L$-fuzzy ideal #Almost Distributive Lattice (ADL) #Complete lattice #Infinite meet distributivity

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References (12)

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G. Birkhoff / 1967 / Lattice Theory, Colloquium Publications / Amer. Math. Soc. 25 google schola J. A. Goguen / 1967 / L-fuzzy sets / J. Math. Anal. Appl 18:145~174 google schola W. J. Liu / 1982 / Fuzzy invariant subgroups and fuzzy ideals / fuzzy sets and systems 8:133~139 google schola T. Ramarao / 2013 / Fuzzy Ideals and Filters of lattices / Asian Journal of current Engineering and Maths 2:297~300 google schola A. Rosenfeld / 1971 / Fuzzy groups / J. Maths. Anal. Appl 35:512~517 google schola

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