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Interval-valued preference structures. (English) Zbl 0960.91508
Summary: Different languages that are offered to model vague preferences are reviewed and an interval-valued language is proposed to resolve a particular difficulty encountered with other languages. It is shown that interval-valued languages are well defined for De Morgan triples constructed by continuous triangular norms, conorms and a strong negation function. A new transitivity condition for vague preferences is suggested and its relationships to known transitivity conditions is established. A complete characterization of interval-valued preference structures is also provided.

##### MSC:
 91B08 Individual preferences 91B14 Social choice 03E72 Theory of fuzzy sets, etc.
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##### References:
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