%0 Journal Article %1 Abbas93 %A Abbas, Moncef %A Vincke, Philippe %C Institut de Mathématiques, Université des Sciences et de la Technologie Houari Boumediene, BP 32, El-Alia, 16111, Alger, Algeria; Institut de Statistiques, Université Libre de Bruxelles, CP 210, Bd. du Triomphe, B-1050 Bruxelles, Belgium %D 1993 %J Journal of Multi-Criteria Decision Analysis %K preference %N 3 %P 171--178 %R 10.1002/mcda.4020020307 %T Preference structures and threshold models %U http://dx.doi.org/10.1002/mcda.4020020307 %V 2 %X Preferences are often represented in terms of a function, in the deterministic case as well as in the probabilistic case. In the present paper we develop a new numerical representation of preference structures for which the strict preference relation (P) is without circuit but not necessarily transitive. Moreover, we investigate the consequences of the representation for the usual preference structures. In particular, we propose new formulations for the numerical representation of the interval order structure.

@article{Abbas93, abstract = {{Preferences are often represented in terms of a function, in the deterministic case as well as in the probabilistic case. In the present paper we develop a new numerical representation of preference structures for which the strict preference relation (P) is without circuit but not necessarily transitive. Moreover, we investigate the consequences of the representation for the usual preference structures. In particular, we propose new formulations for the numerical representation of the interval order structure.}}, added-at = {2011-05-04T16:04:17.000+0200}, address = {Institut de Math\'{e}matiques, Universit\'{e} des Sciences et de la Technologie Houari Boumediene, BP 32, El-Alia, 16111, Alger, Algeria; Institut de Statistiques, Universit\'{e} Libre de Bruxelles, CP 210, Bd. du Triomphe, B-1050 Bruxelles, Belgium}, author = {Abbas, Moncef and Vincke, Philippe}, biburl = {https://www.bibsonomy.org/bibtex/2bc82b92f138ab6d0da86ba4cc464d38b/baisemain}, citeulike-article-id = {3136200}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/mcda.4020020307}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/113329403/ABSTRACT}, doi = {10.1002/mcda.4020020307}, interhash = {d624e2a7c606235083c62d852843503d}, intrahash = {bc82b92f138ab6d0da86ba4cc464d38b}, journal = {Journal of Multi-Criteria Decision Analysis}, keywords = {preference}, number = 3, pages = {171--178}, posted-at = {2008-08-19 13:10:57}, priority = {2}, timestamp = {2011-05-04T16:04:35.000+0200}, title = {{Preference structures and threshold models}}, url = {http://dx.doi.org/10.1002/mcda.4020020307}, volume = 2, year = 1993 }