A characterization of the 2-additive Choquet integral through cardinal information

DOI10.1016/j.fss.2010.10.012zbMath1242.90089OpenAlexW2050695983MaRDI QIDQ429418

Brice Mayag, Christophe Labreuche, Michel Grabisch

Publication date: 19 June 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2010.10.012

zbMATH Keywords

MCDAChoquet integral2-additive capacityMACBETH methodology

Mathematics Subject Classification ID

Management decision making, including multiple objectives (90B50) Fuzzy measure theory (28E10)

Related Items (11)

The binomial Gini inequality indices and the binomial decomposition of welfare functions ⋮ An Interactive Algorithm to Deal with Inconsistencies in the Representation of Cardinal Information ⋮ Knapsack problems with dependencies through non-additive measures and Choquet integral ⋮ Consensus dynamics, network interaction, and Shapley indices in the Choquet framework ⋮ Determining the fuzzy measures in multiple criteria decision aiding from the tolerance perspective ⋮ An integrated approach to identify criteria interactions based on association rule and capacity in MCDA ⋮ \(k\)-maxitive fuzzy measures: a scalable approach to model interactions ⋮ A representation of preferences by the Choquet integral with respect to a 2-additive capacity ⋮ Learning fuzzy measures from data: simplifications and optimisation strategies ⋮ Shapley and superShapley aggregation emerging from consensus dynamics in the multicriteria Choquet framework ⋮ Learning \(k\)-maxitive fuzzy measures from data by mixed integer programming

Uses Software

• M-MACBETH

Cites Work

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