Fuzzy partial order relations and fuzzy lattices
2
조회
0
다운로드
4
인용
0
참고문헌
키워드
초록
We characterize a fuzzy partial order relation using its level set, find sufficient conditions for the image of a fuzzy partial order relation to be a fuzzy partial order relation, and find sufficient conditions for the inverse image of a fuzzy partial order relation to be a fuzzy partial order relation. Also we define a fuzzy lattice as fuzzy relations, characterize a fuzzy lattice using its level set, show that a fuzzy totally ordered set is a distributive fuzzy lattice, and show that the direct product of two fuzzy lattices is a fuzzy lattice.
Abstract
We characterize a fuzzy partial order relation using its level set, find sufficient conditions for the image of a fuzzy partial order relation to be a fuzzy partial order relation, and find sufficient conditions for the inverse image of a fuzzy partial order relation to be a fuzzy partial order relation. Also we define a fuzzy lattice as fuzzy relations, characterize a fuzzy lattice using its level set, show that a fuzzy totally ordered set is a distributive fuzzy lattice, and show that the direct product of two fuzzy lattices is a fuzzy lattice.
참고문헌 (4)
- N. Ajmal, "Fuzzy lattices", Information sciences, 79, pp.271~291 (1994)
- 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 Con-trol, 30, pp.38~48 (1976)
- B. Yuan, "Fuzzy ideals on a distributive lattice", Fuzzy sets and systems, 35, pp.231~240 (1990)