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On fuzzy preference relations

✍ Scribed by Sergei Ovchinnikov

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
379 KB
Volume
6
Category
Article
ISSN
0884-8173

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✦ Synopsis

Triangular norms, conorms, and negation functions are used as interpretations for propositional connectives in a multiple-valued logic model for fuzzy binary relations of weak preference, strict preference, and indifference. It is shown that the Law of Contradiction is a necessary condition for the very existence of reflexive transitive fuzzy binary relations. Basic properties of indifference and strict preference relations are established including transitivity of a strict preference.

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