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.


91B08 Individual preferences
03E72 Theory of fuzzy sets, etc.
Full Text: DOI


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