• 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

A conjoint measurement approach to the discrete Sugeno integral

Pirlot, Marc; Marchant, Thierry; Bouyssou, Denis (2009), A conjoint measurement approach to the discrete Sugeno integral, in Brams, S.; Gehrlein, W. V.; Roberts, F. S., The Mathematics of Preference, Choice and Order. Essays in Honor of Peter C. Fishburn, Springer, p. 85-109. 10.1007/978-3-540-79128-7_6

View/Open
main_tm_15_01_08.pdf (201.0Kb)
Type
Chapitre d'ouvrage
Date
2009
Book title
The Mathematics of Preference, Choice and Order. Essays in Honor of Peter C. Fishburn
Book author
Brams, S.; Gehrlein, W. V.; Roberts, F. S.
Publisher
Springer
ISBN
978-3-540-79127-0
Number of pages
420
Pages
85-109
Publication identifier
10.1007/978-3-540-79128-7_6
Metadata
Show full item record
Author(s)
Pirlot, Marc
Faculté Polytechnique de Mons
Marchant, Thierry
Department of Data Analysis
Bouyssou, Denis cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
In a recent paper (European Journal of Operational Research, 158, 271–292, 2004), S. Greco, B. Matarazzo and R. Słowinski have stated without proof a result characterizing binary relations on product sets that can be represented using a discrete Sugeno integral. To our knowledge, this is the first result about a fuzzy integral that applies to non-necessarily homogeneous product sets and only uses a binary relation on this set as a primitive. This is of direct interest to MCDM. The main purpose of this note is to propose a proof of this important result. Thereby, we study the connections between the discrete Sugeno integral and a non-numerical model called the noncompensatory model. We also show that the main condition used in the result of S. Greco, B. Matarazzo and R. Słowi´nski can be factorized in such a way that the discrete Sugeno integral model can be viewed as a particular case of a general decomposable representation.
Subjects / Keywords
Conjoint measurement; Sugeno integral; MCDM

Related items

Showing items related by title and author.

  • Thumbnail
    Following the traces: An introduction to conjoint measurement without transitivity and additivity 
    Bouyssou, Denis; Pirlot, Marc (2005) Article accepté pour publication ou publié
  • Thumbnail
    Axiomatic characterization of the χ 2 dissimilarity measure 
    Bouyssou, Denis; Marchant, Thierry; Pirlot, Marc (2020) Article accepté pour publication ou publié
  • Thumbnail
    Conjoint measurement tools for MCDM, A brief introduction 
    Pirlot, Marc; Bouyssou, Denis (2005) Chapitre d'ouvrage
  • Thumbnail
    Conjoint Measurement Models for Preference Relations 
    Bouyssou, Denis; Pirlot, Marc (2009) Chapitre d'ouvrage
  • Thumbnail
    Nontransitive Decomposable Conjoint Measurement 
    Bouyssou, Denis; Pirlot, Marc (2002) 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