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Interval-valued preference structures
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DOI：10.1016/S0377-2217(97)00044-1.png)
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Abstract
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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 are established. A complete characterization of interval-valued preference structures is also provided. (C) 1998 Elsevier Science B.V.
Keywords:
fuzzy sets
decision theory
vague preferences
interval-valued fuzzy relations
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