Estimation of the weights of interacting criteria from the set of profiles by means of information-theoretic functionals.

DOI10.1016/S0377-2217(02)00880-9zbMath1043.90078OpenAlexW2112172197MaRDI QIDQ1427597

Ivan Kojadinovic

Publication date: 14 March 2004

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(02)00880-9

zbMATH Keywords

Choquet integralMutual informationMultiple criteria analysisEntropyMulticriteria decision making

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Management decision making, including multiple objectives (90B50)

Related Items (13)

Minimum variance capacity identification ⋮ A practical approach for estimating weights of interacting criteria from profile sets ⋮ Determining the fuzzy measures in multiple criteria decision aiding from the tolerance perspective ⋮ Preference disaggregation and statistical learning for multicriteria decision support: A review ⋮ An integrated approach to identify criteria interactions based on association rule and capacity in MCDA ⋮ Using multiple reference levels in multi-criteria decision aid: the generalized-additive independence model and the Choquet integral approaches ⋮ Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices ⋮ The multilinear model in multicriteria decision making: the case of 2-additive capacities and contributions to parameter identification ⋮ Choquet based TOPSIS and TODIM for dynamic and heterogeneous decision making with criteria interaction ⋮ Kernel-based learning methods for preference aggregation ⋮ A note on the decomposability of inequality measures ⋮ Cooperative Game as Non-Additive Measure ⋮ Explanation with the winter value: efficient computation for hierarchical Choquet integrals

Cites Work

• A Mathematical Theory of Communication
• Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
• \(k\)-order additive discrete fuzzy measures and their representation
• Determination of weights of interacting criteria from a reference set
• Fuzzy integral in multicriteria decision making
• Theory of capacities
• Equivalent Representations of Set Functions
• Alternative Representations of Discrete Fuzzy Measures for Decision Making
• Relative Entropy Measures of Multivariate Dependence
• Multilinear Extensions of Games
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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