A representation of preferences by the Choquet integral with respect to a 2-additive capacity
type: Item
instance of: scholarly article
title: A representation of preferences by the Choquet integral with respect to a 2-additive capacity
zbMATH Open document ID: 1232.91138
author: Brice Mayag
author: Michel Grabisch
author: Christophe Labreuche
published in: Theory and Decision
publication date: 2011-09-13T00:00:00Z
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 90B50
zbMATH DE Number: 5947309
zbMATH Keywords: capacity
zbMATH Keywords: Möbius transform
zbMATH Keywords: Choquet integral
zbMATH Keywords: multiple criteria decision analysis
zbMATH Keywords: \(k\)-monotone function
zbMATH Keywords: belief function
describes a project that uses: M-MACBETH
MaRDI profile type: Publication
full work available at URL: s11238-010-9198-3
OpenAlex ID: W1971324232
cites work: Conflict dissolution in the public sector: a case-study.
cites work: Modeling attitudes towards uncertainty and risk through the use of Choquet integral
cites work: Q5686976
cites work: Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
cites work: Conditioning capacities and Choquet integrals: the role of comonotony
cites work: Modeling attitudes toward uncertainty through the use of the Sugeno integral
cites work: Theory of capacities
cites work: Risk, ambiguity and the Savage axioms
cites work: Measuring inequalities without linearity in envy: Choquet integrals for symmetric capacities
cites work: The application of fuzzy integrals in multicriteria decision making
cites work: \(k\)-order additive discrete fuzzy measures and their representation
cites work: Q5692461
cites work: A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid
cites work: Subjective evaluation of discomfort in sitting positions
cites work: On the extension of pseudo-Boolean functions for the aggregation of interacting criteria.
cites work: Linear utility theory for belief functions
cites work: Decision making with belief functions: Compatibility and incompatibility with the sure-thing principle
cites work: The Choquet integral for the aggregation of interval scales in multicriteria decision making.
cites work: Towards a theory of MCDM: Stepping away from social choice theory
cites work: A characterization of the 2-additive Choquet integral through cardinal information
cites work: p-SYMMETRIC FUZZY MEASURES
cites work: Axiomatic structure of \(k\)-additive capacities
cites work: Q4859898
cites work: Integral Representation Without Additivity
cites work: Subjective Probability and Expected Utility without Additivity
cites work: Q4131415
cites work: Q5817870
cites work: Decision making in the TBM: the necessity of the pignistic transformation
cites work: Advances in prospect theory: cumulative representation of uncertainty
cites work: \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
cites work: Generalized Gini inequality indices
DOI: 10.1007/S11238-010-9198-3
description: scientific article; zbMATH DE number 5947309