Thumbnail - Request a copy

Study of the Instability of the Sign of the Nonadditivity Index in a Choquet Integral Model

Kaldjob Kaldjob, Paul Alain; Mayag, Brice; Bouyssou, Denis (2022), Study of the Instability of the Sign of the Nonadditivity Index in a Choquet Integral Model, in Davide Ciucci, Inés Couso, Jesús Medina, Dominik Ślęzak, Davide Petturiti, Bernadette Bouchon-Meunier, Ronald R. Yager, Information Processing and Management of Uncertainty in Knowledge-Based Systems: 19th International Conference, IPMU 2022, Information Processing and Management of Uncertainty in Knowledge-Based Systems, p. 197-209. 10.1007/978-3-031-08974-9_16

Type
Communication / Conférence
Date
2022
Conference title
19th International Conference, IPMU 2022, Milan, Italy, July 11–15, 2022, Proceedings, Part II
Conference date
2022-11
Conference city
Milan
Conference country
Italy
Book title
Information Processing and Management of Uncertainty in Knowledge-Based Systems: 19th International Conference, IPMU 2022
Book author
Davide Ciucci, Inés Couso, Jesús Medina, Dominik Ślęzak, Davide Petturiti, Bernadette Bouchon-Meunier, Ronald R. Yager
Publisher
Information Processing and Management of Uncertainty in Knowledge-Based Systems
ISBN
978-3-031-08973-2
Number of pages
XXVI, 792
Pages
197-209
Publication identifier
Metadata
Show full item record
Author(s)
Kaldjob Kaldjob, Paul Alain
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Mayag, Brice
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Bouyssou, Denis cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
This paper studies the instability of the sign of the nonadditivity index between criteria in a Choquet integral model. Nonadditivity is an essential property of capacities defined on the sets of decision criteria and allows one to flexibly represent the phenomenon of interaction between criteria. In some cases, we show that the sign of the nonadditivity index proposed in the literature depends on arbitrary choice of a numerical representation in the set of all numerical representations compatible with the strict preferential information given by the Decision Maker(DM). This makes its interpretation difficult. We illustrate our results with examples.
Subjects / Keywords
Instability; Nonadditivity index; Choquet integral model; Numerical representation; Strict preferential information