• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • LAMSADE (UMR CNRS 7243)
  • LAMSADE : Publications
  • View Item
  •   BIRD Home
  • LAMSADE (UMR CNRS 7243)
  • LAMSADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

Ordinal regression revisited: multiple criteria ranking using a set of additive value functions

Slowinski, Roman; Mousseau, Vincent; Greco, Salvatore (2008), Ordinal regression revisited: multiple criteria ranking using a set of additive value functions, European Journal of Operational Research, 191, 2, p. 416-436. http://dx.doi.org/10.1016/j.ejor.2007.08.013

View/Open
cahierLamsade240.pdf (587.3Kb)
Type
Article accepté pour publication ou publié
Date
2008
Journal name
European Journal of Operational Research
Volume
191
Number
2
Publisher
Elsevier
Pages
416-436
Publication identifier
http://dx.doi.org/10.1016/j.ejor.2007.08.013
Metadata
Show full item record
Author(s)
Slowinski, Roman
Mousseau, Vincent
Greco, Salvatore
Abstract (EN)
We present a new method, called UTAGMS, for multiple criteria ranking of alternatives from set A using a set of additive value functions which result from an ordinal regression. The preference information provided by the decision maker is a set of pairwise comparisons on a subset of alternatives AR subset of or equal to A, called reference alternatives. The preference model built via ordinal regression is the set of all additive value functions compatible with the preference information. Using this model, one can define two relations in the set A: the necessary weak preference relation which holds for any two alternatives a, b from set A if and only if for all compatible value functions a is preferred to b, and the possible weak preference relation which holds for this pair if and only if for at least one compatible value function a is preferred to b. These relations establish a necessary and a possible ranking of alternatives from A, being, respectively, a partial preorder and a strongly complete relation. The UTAGMS method is intended to be used interactively, with an increasing subset AR and a progressive statement of pairwise comparisons. When no preference information is provided, the necessary weak preference relation is a weak dominance relation, and the possible weak preference relation is a complete relation. Every new pairwise comparison of reference alternatives, for which the dominance relation does not hold, is enriching the necessary relation and it is impoverishing the possible relation, so that they converge with the growth of the preference information. Distinguishing necessary and possible consequences of preference information on the complete set of actions, UTAGMS answers questions of robustness analysis. Moreover, the method can support the decision maker when his/her preference statements cannot be represented in terms of an additive value function. The method is illustrated by an example solved using the UTAGMS software. Some extensions of the method are also presented.
Subjects / Keywords
Multiple criteria ranking; Ordinal regression approach; Additive value function

Related items

Showing items related by title and author.

  • Thumbnail
    Robust multiple criteria ranking using a set of additive value functions 
    Greco, Salvatore; Mousseau, Vincent; Slowinski, Roman (2007) Document de travail / Working paper
  • Thumbnail
    Multiple criteria sorting with a set of additive value functions 
    Slowinski, Roman; Mousseau, Vincent; Greco, Salvatore (2010) Article accepté pour publication ou publié
  • Thumbnail
    Interactive Multiobjective Optimization using a Set of Additive Value Functions 
    Figueira, José; Greco, Salvatore; Mousseau, Vincent; Slowinski, Roman (2008) Chapitre d'ouvrage
  • Thumbnail
    Building a set of additive value functions representing a reference preorder and intensities of preference: GRIP method 
    Figueira, José; Greco, Salvatore; Slowinski, Roman (2009) Article accepté pour publication ou publié
  • Thumbnail
    An Overview of ELECTRE Methods and their Recent Extensions 
    Slowinski, Roman; Roy, Bernard; Greco, Salvatore; Figueira, José (2013) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo