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
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description 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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source RePEc; ScienceDirect Freedom Collection (Elsevier)
subjects 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
title Interval-valued preference structures
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