%0 Journal Article
%T Robust ranking of multi-criteria alternatives using value functions compatible with holistic preference information<br>Robust ranking of multicriteria alternatives using value functions compatible with holistic preference information
%A SLOWINSKI Roman
%A GRECO Salvatore
%A MOUSSEAU Vincent
%A <br>SLOWINSKI Roman
%A GRECO Salvatore
%A FIGUEIRA José Rui
%A MOUSSEAU Vincent
%J 重庆邮电大学学报(自然科学版)
%D 2008
%I 
%X We present two recent methods, called UTAGMS and GRIP, from the viewpoint of robust ranking of multi-criteria alternatives. In these methods, the preference information provided by a single or multiple Decision Makers (DMs) is com-posed of holistic judgements of some selected alternatives, called reference alternatives. The judgements express pairwise comparisons of some reference alternatives (in UTAGMS), and comparisons of selected pairs of reference alternatives from the viewpoint of intensity of preference (in GRIP). Ordinal regression is used to find additive value functions compatible with this preference information. The whole set of compatible value functions is then used in Linear Programming (LP) to calculate a necessary and possible weak preference relations in the set of all alternatives, and in the set of all pairs of alterna- tives. While the necessary relation is true for all compatible value functions, the possible relation is true for at least one compatible value function. The necessary relation is a partial preorder and the possible relation is a complete and negatively transitive relation. The necessary relations show consequences of the given preference information which are robust because "always true". We illustrate this methodology with an example.
%K robustness analysis
%K multi-criteria ranking
%K necessary and possible
%K ordinal regression
%K additive value functions
%K information
%K preference
%K compatible
%K functions
%K value function
%K ranking
%K methodology
%K example
%K show
%K consequences
%K partial
%K preorder
%K complete
%K negatively
%K transitive
%K relation
%K true
%K calculate
%K weak
%K Linear Programming<br>robustness
%K analysis
%K multicriteria
%K ranking
%K necessary
%K and
%K possible
%K ordinal
%K regression
%K additive
%K value
%K functions
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=5C2694A2E5629ECD6B59D7B28C6937AD&aid=17FD6225DCBB4D1E24A7F6A6FDA8141B&yid=67289AFF6305E306&vid=A04140E723CB732E&iid=38B194292C032A66&sid=90612DF06FCE4D55&eid=9DC563A0FEFC04F9&journal_id=1673-825X&journal_name=重庆邮电大学学报(自然科学版)&referenced_num=0&reference_num=11