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Measuring credibility of compensatory preference statements when trade-offs are interval determined. (English) Zbl 0845.90007

Summary: This paper studies how an overall fuzzy preference relation can be constructed in the compensatory context of the ‘simple additive difference model’, when imprecision on the tradeoffs has to be taken into account. Three credibility indices of preferences are analysed and illustrated by a numerical example. Arguments are presented supporting the use of the third index, for which an interesting transitivity property (which was an open problem) is proved.

MSC:

91B08 Individual preferences
91B06 Decision theory
03E72 Theory of fuzzy sets, etc.
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