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The Necessary and Possible Importance Relation Among Criteria in a 2-Additive Choquet Integral Model

Mayag, Brice; Tchantcho, Bertrand (2020), The Necessary and Possible Importance Relation Among Criteria in a 2-Additive Choquet Integral Model, in Marie-Jeanne Lesot; Susana Vieira; Marek Z. Reformat; João Paulo Carvalho; Anna Wilbik; Bernadette Bouchon-Meunier; Ronald R. Yager, Information Processing and Management of Uncertainty in Knowledge-Based Systems: 18th International Conference, IPMU 2020, Springer International Publishing : Berlin Heidelberg, p. 496-509. 10.1007/978-3-030-50143-3_39

Type
Communication / Conférence
External document link
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274728/
Date
2020
Conference title
18th International Conference, IPMU 2020
Conference date
2020-06
Conference city
Lisbon
Conference country
Portugal
Book title
Information Processing and Management of Uncertainty in Knowledge-Based Systems: 18th International Conference, IPMU 2020
Book author
Marie-Jeanne Lesot; Susana Vieira; Marek Z. Reformat; João Paulo Carvalho; Anna Wilbik; Bernadette Bouchon-Meunier; Ronald R. Yager
Publisher
Springer International Publishing
Published in
Berlin Heidelberg
ISBN
978-3-030-50142-6
Number of pages
807
Pages
496-509
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]
Tchantcho, Bertrand
Abstract (EN)
In the context of the representation of a preference information by a 2-additive Choquet integral, we introduce the necessary and possible importance relations allowing to compare the Shapley values of two criteria. We present some sufficient conditions, using a set of binary alternatives, to get a necessary importance relation among two criteria.
Subjects / Keywords
MCDA; Binary alternatives; Shapley value; Choquet integral; Necessary relations