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Sequential representation of fuzzy similarity relations

✍ Scribed by S.K. Tan; H.H. Teh; P.Z. Wang


Book ID
107902820
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
451 KB
Volume
67
Category
Article
ISSN
0165-0114

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We show that for a fuzzy partial order R on a ΓΏnite universe , there is a ΓΏnite family of fuzzy linear orders {Li: 16i6k} such that R(x; y) = min{ L i (x; y): 16i6k} for all x and y. This generalizes a well-known result on crisp partial orders, which states that each partial order on a ΓΏnite set is