논문KCI 등재
Fuzzy lattices as fuzzy relations
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참고문헌
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초록
We define a fuzzy lattice as a fuzzy relation, develop some basic properties of the fuzzy lattice, show that the operations of join and meet in fuzzy lattices are isotone and associative, characterize a fuzzy lattice by its level set, and show that the direct product of two fuzzy lattices is a fuzzy lattice.
Abstract
We define a fuzzy lattice as a fuzzy relation, develop some basic properties of the fuzzy lattice, show that the operations of join and meet in fuzzy lattices are isotone and associative, characterize a fuzzy lattice by its level set, and show that the direct product of two fuzzy lattices is a fuzzy lattice.
참고문헌 (6)
- N. Ajmal, "Fuzzy lattices", Inform. Sci, 79, pp.271~291 (1994)
- 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)
- 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 partial order relations and fuzzy lattices전인흥강원경기수학회 · 한국수학논문집2009 · 제17권 제4호Some properties of fuzzy lattices as fuzzy relations전인흥강원경기수학회 · 한국수학논문집2016 · 제24권 제3호Fuzzy sublattices of latticesCh. Santhi Sundar Raj, K. Ramanuja Rao, K. Rama Prasad, Natnael Teshale A.기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호L-fuzzy ideals of a posetBerhanu Assaye Alaba, Derso Abeje Engidaw, Miheret Alamneh Taye기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제16권 제3호Fuzzy connections and completeness in complete residuated lattices김영선, 김용찬강원경기수학회 · 한국수학논문집2013 · 제21권 제2호Pseudo - complementation on generalized almost distributive fuzzy latticesYohannes Gedamu Wondifraw강원경기수학회 · 한국수학논문집2022 · 제30권 제1호
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