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

DOI10.1007/s10288-007-0064-2zbMath1146.90034OpenAlexW2008536086MaRDI QIDQ5900059

Michel Grabisch, Christophe Labreuche

Publication date: 20 May 2008

Published in: 4OR (Search for Journal in Brave)

Full work available at URL: https://halshs.archives-ouvertes.fr/halshs-00267932/file/4or07.pdf

zbMATH Keywords

preferencescapacity: bipolarity

Mathematics Subject Classification ID

Decision theory (91B06) Cooperative games (91A12) Management decision making, including multiple objectives (90B50) Measurement theory in the social and behavioral sciences (91C05)

Related Items (43)

The Choquet integral of log-convex functions ⋮ Discrete bipolar universal integrals ⋮ The binomial Gini inequality indices and the binomial decomposition of welfare functions ⋮ Inclusion-Exclusion Integral and Its Application to Subjective Video Quality Estimation ⋮ Stochastic multiobjective acceptability analysis for the Choquet integral preference model and the scale construction problem ⋮ Twelve surveys in operations research ⋮ Conditional Choquet Expectation ⋮ Consensus dynamics, network interaction, and Shapley indices in the Choquet framework ⋮ Two kinds of explicit preference information oriented capacity identification methods in the context of multicriteria decision analysis ⋮ Allocating costs in set covering problems ⋮ Some properties and convergence theorems of set-valued Choquet integrals ⋮ Recommending multiple criteria decision analysis methods with a new taxonomy-based decision support system ⋮ Feature interaction in subspace clustering using the Choquet integral ⋮ A generalization of the discrete Choquet and Sugeno integrals based on a fusion function ⋮ The problem of collective identity in a fuzzy environment ⋮ The general Pettis-Sugeno integral of vector multifunctions relative to a vector fuzzy multimeasure ⋮ Conjoint Axiomatization of the Choquet Integral for Heterogeneous Product Sets ⋮ Aggregation of Choquet Integrals ⋮ Inclusion-Exclusion Integral and t-norm Based Data Analysis Model Construction ⋮ A characterization of the 2-additive Choquet integral through cardinal information ⋮ A representation of preferences by the Choquet integral with respect to a 2-additive capacity ⋮ A note on derivatives of functions with respect to fuzzy measures ⋮ Inclusion-exclusion principle for belief functions ⋮ Using the monotone measure sum to enrich the measurement of the interaction of multiple decision criteria ⋮ Choquet-based multi-criteria decision making with objective and subjective information ⋮ Surveys in operations research ⋮ Combinatorial optimization problems with uncertain costs and the OWA criterion ⋮ A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid ⋮ Bipolar semicopulas ⋮ Making discrete sugeno integrals more discriminant ⋮ A discrete Choquet integral for ordered systems ⋮ Maximization of the Choquet integral over a convex set and its application to resource allocation problems ⋮ Shapley and superShapley aggregation emerging from consensus dynamics in the multicriteria Choquet framework ⋮ Theory of inclusion-exclusion integral ⋮ Necessary and possible interaction between criteria in a 2-additive Choquet integral model ⋮ Choquet integral with stochastic entries ⋮ Possibilistic randomisation in strategic-form games ⋮ Efficient and scalable nonlinear multiple kernel aggregation using the Choquet integral ⋮ Progressive methods in multiple criteria decision analysis ⋮ Choquet integrals of \(r\)-convex functions ⋮ Entropy and similarity measure of Atanassov's intuitionistic fuzzy sets and their application to pattern recognition based on fuzzy measures ⋮ Compromise principle based methods of identifying capacities in the framework of multicriteria decision analysis ⋮ The sum interaction indices of some particular families of monotone measures

Uses Software

• R
• kappalab
• M-MACBETH

Cites Work

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