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: | Bilgi Taner |
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.