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Valued preference structures. (English) Zbl 0812.90005

Summary: An approach to the axiomatics of valued preference modelling is suggested. In the framework of this approach, general definitions of strict preference, indifference and incomparability relations associated with a valued preference relation are established via solving a system of functional equations. Any solution of this system satisfies most of the classical properties. Characterizations of important particular solutions are also proved.

MSC:

91B08 Individual preferences
03E72 Theory of fuzzy sets, etc.
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