Sequentially continuous non-monotonic Choquet integrals

DOI10.1016/j.fss.2005.02.020zbMath1065.28012OpenAlexW2000423901MaRDI QIDQ1780571

Yann Rébillé

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.fss.2005.02.020

zbMATH Keywords

Choquet integralsequential continuitynon-additive measuresnon-monotonicity

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (6)

A SUPER RADON-NIKODYM DERIVATIVE FOR ALMOST SUBADDITIVE SET FUNCTIONS ⋮ Decision making over necessity measures through the Choquet integral criterion ⋮ Signed integral representations of comonotonic additive functionals ⋮ Non-monotonic Fuzzy Measures and Intuitionistic Fuzzy Sets ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ LAWS OF LARGE NUMBERS FOR CONTINUOUS BELIEF MEASURES ON COMPACT SPACES

Cites Work

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• Expected utility with purely subjective non-additive probabilities
• Loss aversion in a multi-period model
• Non-additive measure and integral
• Modeling attitudes towards uncertainty and risk through the use of Choquet integral
• Regular fuzzy measure and representation of comonotonically additive functional
• Non-monotonic fuzzy measures and the Choquet integral
• Theory of capacities
• Subjective Probability and Expected Utility without Additivity
• Values of Non-Atomic Games
• Expectation and Variation in Multi-Period Decisions
• Integral Representation Without Additivity
• Unbounded Utility for Savage's “Foundations of Statistics,” and Other Models
• A Definition of Subjective Probability
• Boundedness and symmetry of comonotonically additive functionals
• Nonmonotonic Choquet integrals

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