A representation of preferences by the Choquet integral with respect to a 2-additive capacity

DOI10.1007/s11238-010-9198-3zbMath1232.91138OpenAlexW1971324232MaRDI QIDQ638618

Brice Mayag, Michel Grabisch, Christophe Labreuche

Publication date: 13 September 2011

Published in: Theory and Decision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11238-010-9198-3

zbMATH Keywords

capacityChoquet integral\(k\)-monotone functionmultiple criteria decision analysisMöbius transformbelief function

Mathematics Subject Classification ID

Decision theory (91B06) Management decision making, including multiple objectives (90B50)

Related Items (10)

The binomial Gini inequality indices and the binomial decomposition of welfare functions ⋮ Knapsack problems with dependencies through non-additive measures and Choquet integral ⋮ Consensus dynamics, network interaction, and Shapley indices in the Choquet framework ⋮ On the Robustness of the Sign of Nonadditivity Index in a Choquet Integral Model ⋮ A Choquet integral based cosine similarity measure for interval-valued intuitionistic fuzzy sets and an application to pattern recognition ⋮ A characterization of the 2-additive Choquet integral through cardinal information ⋮ Necessary and possible interaction in a 2-maxitive Sugeno integral model ⋮ Representation of maxitive measures: An overview ⋮ Shapley and superShapley aggregation emerging from consensus dynamics in the multicriteria Choquet framework ⋮ Necessary and possible interaction between criteria in a 2-additive Choquet integral model

Uses Software

• M-MACBETH

Cites Work

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