논문KCI 등재
Some properties of fuzzy lattices as fuzzy relations
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We define a fuzzy lattice as a fuzzy relation, prove the distributive inequalities and the modular inequality of fuzzy lattices, and show that the fuzzy totally ordered set is a distributive fuzzy lattice and that the distributive fuzzy lattice is modular.
Abstract
We define a fuzzy lattice as a fuzzy relation, prove the distributive inequalities and the modular inequality of fuzzy lattices, and show that the fuzzy totally ordered set is a distributive fuzzy lattice and that the distributive fuzzy lattice is modular.
참고문헌 (8)
- N. Ajmal, "Fuzzy lattices", Inform. Sci, 79, pp.271~291 (1994)
- 전인흥, "Fuzzy lattices as fuzzy relations", 한국수학논문집, 23(4), pp.557~569 (2015), 강원경기수학회[DOI]
- 전인흥, "Fuzzy partial order relations and fuzzy lattices", 한국수학논문집, 17(4), pp.361~374 (2009), 강원경기수학회
- J. A. Goguen, "L-fuzzy sets", J. Math. Anal. Appl, 18, pp.145~174 (1967)
- E. Sanchez, "Resolution of composite fuzzy relation equation", Inform. and control, 30, pp.38~48 (1976)
- P. Venugopalan, "Fuzzy ordered sets", Fuzzy sets and systems, 46, pp.221~226 (1992)
- L. A. Zadeh, "Fuzzy sets", Inform. and control, 8, pp.338~353 (1965)
- L. A. Zadeh, "Similarity relations and fuzzy orderings", Inform. Sci, 3, pp.177~200 (1971)
관련 논문AI추천
Fuzzy lattices as fuzzy relations전인흥강원경기수학회 · 한국수학논문집2015 · 제23권 제4호Fuzzy partial order relations and fuzzy lattices전인흥강원경기수학회 · 한국수학논문집2009 · 제17권 제4호Fuzzy sublattices of latticesCh. Santhi Sundar Raj, K. Ramanuja Rao, K. Rama Prasad, Natnael Teshale A.기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호Fuzzy congruence relations on almost distributive latticesBerhanu Assaye Alaba, Gezahagne Mulat Addis기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제3호Pseudo - complementation on generalized almost distributive fuzzy latticesYohannes Gedamu Wondifraw강원경기수학회 · 한국수학논문집2022 · 제30권 제1호$d$-fuzzy ideals and injective fuzzy ideals in distributive latticesBerhanu Assaye Alaba, Mihret Alamneh Taye, Wondwosen Zemene Norahun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제3호
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