Interval-valued preference structures

Interval-valued preference structures

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Article ID: iaor19992480
Country: Netherlands
Volume: 105
Issue: 1
Start Page Number: 162
End Page Number: 183
Publication Date: Feb 1998
Journal: European Journal of Operational Research
Authors:
Abstract:

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.

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