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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.
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참고문헌 (4)
참고문헌 신청
B. Yuan / 1990 / Fuzzy ideals on a distributive lattice / Fuzzy sets and systems 35 : 231 ~ 240
E. Sanchez / 1976 / Resolution of composite fuzzy relation equation / Inform. and Con-trol 30 : 38 ~ 48
J. A. Goguen / 1967 / L-fuzzy sets / J. Math. Anal. Appl 18 : 145 ~ 174
N. Ajmal / 1994 / Fuzzy lattices / Information sciences 79 : 271 ~ 291
E. Sanchez / 1976 / Resolution of composite fuzzy relation equation / Inform. and Con-trol 30 : 38 ~ 48
J. A. Goguen / 1967 / L-fuzzy sets / J. Math. Anal. Appl 18 : 145 ~ 174
N. Ajmal / 1994 / Fuzzy lattices / Information sciences 79 : 271 ~ 291
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