A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

By Michel Grabisch, Christophe Labreuche. 4OR, 2008

588 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/abb84b78b36e33eb2ccb4c29b5992912a230c3a6

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Citations in the corpus

Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression ☆ (2016, background): “preference information provided by the DM ([2, 46]; for an extensive review on the topic see also [33] and [35]).”
An analysis of DEMATEL approaches for criteria interaction handling within ANP (2016, unknown): “Interest-137 ingly enough, the Choquet (Grabisch & Labreuche, 2010; Marichal,138 2004; Marichal, 2000) and Sugeno integrals (Dubois, Marichal, Prade,139 Roubens, & Sabaadin, 2001; Sugeno, 1974, 1977; Torra & Narukawa,140 2006), also known as the members of non-additive integrals or fuzzy141…”
A Universal Integral as Common Frame for Choquet and Sugeno Integral (2010, background): “Sugeno and Choquet integrals proved to be useful in several applications (for an overview see [17]), notably in some problems of game theory and multicriteria decision making, where the score vectors describing the single alternatives are modeled by fuzzy subsets of the set of all criteria, and the ”
How to support the application of multiple criteria decision analysis? Let us start with a comprehensive taxonomy (2020, background): “Although only six (among which only one DSS) of the 56 studies reviewed in this paper consider the interactions between criteria as a distinctive feature, several MCDA methods dealing with interactions have been proposed [68,69,8], particularly in recent years [7,20,36,5].”
A representation of preferences by the Choquet integral with respect to a 2-additive capacity (2011, background): “Given an alternative x := ( x 1 , ..., x n ) ∈ X , the 2-additive Choquet integral can be written also as follows (see Grabisch and Labreuche [2008]): where ) is the importance of criterion i corresponding to the Shapley value of µ (see Shapley [1953]) and is the interaction index between the two…”
Decomposition-integral: unifying Choquet and the concave integrals (2014, methodology): “Grabisch and Labreuche (2005a,b) introduced the notion of bicapacity, which is consonant with prospect theory of Kahneman and Tversky (1979).”