Choquet Integral Calculus on a Continuous Support and its Applications

Autor: Mustapha Ridaoui, Michel Grabisch

Publikováno v: Operations Research and Decisions, Vol vol. 26, Iss no. 1, Pp 73-93 (2016)

The results of the calculation of the Choquet integral of a monotone function on the nonnegative real line have been described. Next, the authors prepresented Choquet integral of nonmonotone functions, by constructing monotone functions from nonmonot

Externí odkaz: https://doaj.org/article/761ef7142f214da9a32f8dfae8b099c1

Interaction indices for multichoice games

Autor: Mustapha Ridaoui, Christophe Labreuche, Michel Grabisch

Publikováno v: Fuzzy Sets and Systems
Fuzzy Sets and Systems, Elsevier, 2020, 383, ⟨10.1016/j.fss.2019.04.008⟩

International audience; Models in Multicriteria Decision Analysis (MCDA) can be analyzed by means of an importance index and an interaction index for every group of criteria. We consider first discrete models in MCDA, without further restriction, whi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a69eb06e5befce7a165cdfb68c7b628
https://doi.org/10.1016/j.fss.2019.04.008

An axiomatisation of the Banzhaf value and interaction index for multichoice games

Autor: Mustapha Ridaoui, Christophe Labreuche, Michel Grabisch

Publikováno v: Lecture Notes in Computer Sciences : International Conference on Modeling Decisions for Artificial Intelligence (MDAI)
Lecture Notes in Computer Sciences : International Conference on Modeling Decisions for Artificial Intelligence (MDAI), 2018
Modeling Decisions for Artificial Intelligence ISBN: 9783030002015
MDAI

International audience; We provide an axiomatisation of the Banzhaf value (or power index) and the Banzhaf interaction index for multichoice games, which are a generalisa-tion of cooperative games with several levels of participation. Multichoice gam

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69d1b1f07566627625c1dd808cf14d1d
https://halshs.archives-ouvertes.fr/halshs-02381119/file/Axiomatisation-Banzhaf.pdf

Axiomatization of an Importance Index for Generalized Additive Independence Models

Autor: Mustapha Ridaoui, Christophe Labreuche, Michel Grabisch

Publikováno v: Lecture Notes in Computer Science ISBN: 9783319615806
ECSQARU

We consider MultiCriteria Decision Analysis models which are defined over discrete attributes, taking a finite number of values. We do not assume that the model is monotonically increasing with respect to the attributes values. Our aim is to define a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::97fd4ba4a987bbbed88ad82acb4e4422
https://doi.org/10.1007/978-3-319-61581-3_31