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A Characterization of the 2-Additive Symmetric Choquet Integral Using Trinary Alternatives

Mayag, Brice (2014), A Characterization of the 2-Additive Symmetric Choquet Integral Using Trinary Alternatives, in Laurent, Anne; Strauss, Olivier; Bouchon-Meunier, Bernadette; Yager, Ronald R., Information Processing and Management of Uncertainty in Knowledge-Based Systems, Springer International Publishing : Cham, p. 266-275. 10.1007/978-3-319-08795-5_28

Type
Communication / Conférence
Date
2014
Conference title
15th International Conference, IPMU 2014
Conference date
2014-07
Conference city
Montpellier
Conference country
France
Book title
Information Processing and Management of Uncertainty in Knowledge-Based Systems
Book author
Laurent, Anne; Strauss, Olivier; Bouchon-Meunier, Bernadette; Yager, Ronald R.
Publisher
Springer International Publishing
Published in
Cham
ISBN
978-3-319-08794-8
Number of pages
603
Pages
266-275
Publication identifier
Metadata
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Author(s)
Mayag, Brice
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
In a context of Multiple Criteria Decision Aid, we present some necessary and sufficient conditions to obtain a symmetric Choquet integral compatible with some preferences on a particular set of alternatives. These axioms are based on the notion of strict cycle and the MOPI conditions.
Subjects / Keywords
Choquet integral; binary alternatives; capacity; trinary alternatives
JEL
C44 - Operations Research; Statistical Decision Theory