Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model

This paper deals with interaction between criteria in a general Choquet integral model. When the preference of the Decision Maker (DM) contains no indifference, we first give a necessary and sufficient condition for them to be representable by a Choquet integral model. Using this condition, we show...

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Detalles Bibliográficos
Autores principales: Kaldjob Kaldjob, Paul Alain, Mayag, Brice, Bouyssou, Denis
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274721/
http://dx.doi.org/10.1007/978-3-030-50143-3_36
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author Kaldjob Kaldjob, Paul Alain
Mayag, Brice
Bouyssou, Denis
author_facet Kaldjob Kaldjob, Paul Alain
Mayag, Brice
Bouyssou, Denis
author_sort Kaldjob Kaldjob, Paul Alain
collection PubMed
description This paper deals with interaction between criteria in a general Choquet integral model. When the preference of the Decision Maker (DM) contains no indifference, we first give a necessary and sufficient condition for them to be representable by a Choquet integral model. Using this condition, we show that it is always possible to choose from the numerical representations, one relatively for which all the Shapley interaction indices are strictly positive. We illustrate our results with an example.
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spelling pubmed-72747212020-06-08 Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model Kaldjob Kaldjob, Paul Alain Mayag, Brice Bouyssou, Denis Information Processing and Management of Uncertainty in Knowledge-Based Systems Article This paper deals with interaction between criteria in a general Choquet integral model. When the preference of the Decision Maker (DM) contains no indifference, we first give a necessary and sufficient condition for them to be representable by a Choquet integral model. Using this condition, we show that it is always possible to choose from the numerical representations, one relatively for which all the Shapley interaction indices are strictly positive. We illustrate our results with an example. 2020-05-15 /pmc/articles/PMC7274721/ http://dx.doi.org/10.1007/978-3-030-50143-3_36 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Kaldjob Kaldjob, Paul Alain
Mayag, Brice
Bouyssou, Denis
Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model
title Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model
title_full Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model
title_fullStr Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model
title_full_unstemmed Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model
title_short Necessary and Possible Interaction Between Criteria in a General Choquet Integral Model
title_sort necessary and possible interaction between criteria in a general choquet integral model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274721/
http://dx.doi.org/10.1007/978-3-030-50143-3_36
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