New directions in ordinal evaluation: Sugeno integrals and beyond
Miguel Couceiro
(1)
,
Didier Dubois
(2, 3)
,
Hélène Fargier
(2, 3)
,
Michel Grabisch
(4, 5)
,
Henri Prade
(2, 3)
,
Agnès Rico
(6)
1
ORPAILLEUR -
Knowledge representation, reasonning
2 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
3 CNRS - Centre National de la Recherche Scientifique
4 CES - Centre d'économie de la Sorbonne
5 PSE - Paris School of Economics
6 ERIC - Entrepôts, Représentation et Ingénierie des Connaissances
2 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
3 CNRS - Centre National de la Recherche Scientifique
4 CES - Centre d'économie de la Sorbonne
5 PSE - Paris School of Economics
6 ERIC - Entrepôts, Représentation et Ingénierie des Connaissances
Miguel Couceiro
- Fonction : Auteur
- PersonId : 1498
- IdHAL : miguel-couceiro
- ORCID : 0000-0003-2316-7623
- IdRef : 223362395
Didier Dubois
- Fonction : Auteur
- PersonId : 743301
- IdHAL : didier-dubois
- ORCID : 0000-0002-6505-2536
- IdRef : 026839482
Hélène Fargier
- Fonction : Auteur
- PersonId : 734843
- IdHAL : helene-fargier
- ORCID : 0000-0003-1616-5961
- IdRef : 119250217
Michel Grabisch
- Fonction : Auteur
- PersonId : 12712
- IdHAL : michel-grabisch
- ORCID : 0000-0002-3283-1496
- IdRef : 081550294
Henri Prade
- Fonction : Auteur
- PersonId : 743299
- IdHAL : henri-prade
- ORCID : 0000-0003-4586-8527
- IdRef : 053435710
Agnès Rico
- Fonction : Auteur
- PersonId : 858630
- IdHAL : agnes-rico
Résumé
This chapter provides a state-of-the-art account of the use of Sugeno integrals in decision evaluation, when it is difficult to use meaningful figures of merit when assessing the worth of a decision and when only a finite scale of, e.g., linguistic categories, can be used. Here, Sugeno integrals are thought of as idempotent lattice polynomial functions on a finite bounded chain, which makes it possible to assign importance weights to groups of criteria or states. Algebraic and behavioral characterizations of the Sugeno integral are presented and discussed, including in the special cases of weighted minima and maxima. Extensions of this framework are also surveyed, namely: the lexicographic refinements that increase the discrimination power of this approach; the use of local utility functions in order to cope with criteria having distinct rating scales; and the generalization of the criteria weighting scheme at work in Sugeno integrals. Another kind of extension considered is when ratings belong to a bipolar scale where good and bad figures are explicitly present, thus giving rise to the symmetric Sugeno integral or to the separate evaluation of pros and cons. Moreover, it is pointed out that Sugeno integrals encode decision rules and that this bridge leads to methods for extractingknowledge from qualitative data. The results of empirical studies of the latter are also presented and discussed, accordingly.
Format du dépôt | Fichier |
---|---|
Type de dépôt | Chapitre d'ouvrage |
Titre |
en
New directions in ordinal evaluation: Sugeno integrals and beyond
|
Résumé |
en
This chapter provides a state-of-the-art account of the use of Sugeno integrals in decision evaluation, when it is difficult to use meaningful figures of merit when assessing the worth of a decision and when only a finite scale of, e.g., linguistic categories, can be used. Here, Sugeno integrals are thought of as idempotent lattice polynomial functions on a finite bounded chain, which makes it possible to assign importance weights to groups of criteria or states. Algebraic and behavioral characterizations of the Sugeno integral are presented and discussed, including in the special cases of weighted minima and maxima. Extensions of this framework are also surveyed, namely: the lexicographic refinements that increase the discrimination power of this approach; the use of local utility functions in order to cope with criteria having distinct rating scales; and the generalization of the criteria weighting scheme at work in Sugeno integrals. Another kind of extension considered is when ratings belong to a bipolar scale where good and bad figures are explicitly present, thus giving rise to the symmetric Sugeno integral or to the separate evaluation of pros and cons. Moreover, it is pointed out that Sugeno integrals encode decision rules and that this bridge leads to methods for extractingknowledge from qualitative data. The results of empirical studies of the latter are also presented and discussed, accordingly.
|
Auteur(s) |
Miguel Couceiro
1
, Didier Dubois
2, 3
, Hélène Fargier
2, 3
, Michel Grabisch
4, 5
, Henri Prade
2, 3
, Agnès Rico
6
1
ORPAILLEUR -
Knowledge representation, reasonning
( 205125 )
- France
2
IRIT-ADRIA -
Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
( 392282 )
- Institut de recherche en informatique de Toulouse - IRIT
118 Route de Narbonne
31062 Toulouse Cedex 9
- France
3
CNRS -
Centre National de la Recherche Scientifique
( 441569 )
- France
4
CES -
Centre d'économie de la Sorbonne
( 15080 )
- Maison des Sciences Économiques - 106-112 Boulevard de l'Hôpital - 75647 Paris Cedex 13
- France
5
PSE -
Paris School of Economics
( 301309 )
- 48 boulevard Jourdan 75014 Paris
- France
6
ERIC -
Entrepôts, Représentation et Ingénierie des Connaissances
( 183072 )
- Université Lumière Lyon 2
5 avenue Pierre Mendès-France
69676 Bron Cedex
- France
|
Titre de l'ouvrage |
New Perspectives in Multiple Criteria Decision Making: Innovative Applications and Case Studies
|
Titre de la collection |
Multiple Criteria Decision Making book series (MCDM)
|
Page/Identifiant |
177–228
|
URL éditeur |
https://link.springer.com/chapter/10.1007/978-3-030-11482-4_7
|
ISBN |
978-3-030-11481-7
|
Audience |
Internationale
|
Date de publication |
2019-04-02
|
Langue du document |
Anglais
|
Vulgarisation |
Non
|
Date de production/écriture |
2018
|
Éditeur scientifique |
|
Voir aussi |
|
Domaine(s) |
|
Éditeur commercial |
|
Mots-clés |
en
decision rule, Sugeno integral, lattice polynomial, qualitative decision theory, bipolarity
|
DOI | 10.1007/978-3-030-11482-4_7 |
Origine :
Fichiers produits par l'(les) auteur(s)
Loading...