Interval-valued preference structures

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 tr...

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Veröffentlicht in:	European journal of operational research 1998-02, Vol.105 (1), p.162-183
1. Verfasser:	BILGIC, T
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Bayesian analysis Decision theory Decision theory. Utility theory Exact sciences and technology Fuzzy sets Interval-valued fuzzy relations Operational research and scientific management Operational research. Management science Operations research Preferences Studies Vague preferences
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Beschreibung
Zusammenfassung:	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.
ISSN:	0377-2217 1872-6860
DOI:	10.1016/S0377-2217(97)00044-1