Decomposition approaches to integration without a measure

DOI10.1016/j.fss.2015.07.014zbMath1392.28014arXiv1501.00326OpenAlexW1517534632MaRDI QIDQ723231

Ladislav Sipeky, Fabio Rindone, Greco, Salvatore, Radko Mesiar

Publication date: 30 July 2018

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

Full work available at URL: https://arxiv.org/abs/1501.00326

zbMATH Keywords

decision makingChoquet integraloptimization problemsweighting functiondecomposition integral

Mathematics Subject Classification ID

Decision theory (91B06) Fuzzy measure theory (28E10)

Related Items (4)

Super- and sub-additive transformations of aggregation functions from the point of view of approximation ⋮ On the existence of aggregation functions with given super-additive and sub-additive transformations ⋮ New monotone measure-based integrals inspired by scientific impact problem ⋮ SUPER- AND SUB-ADDITIVE ENVELOPES OF AGGREGATION FUNCTIONS: INTERPLAY BETWEEN LOCAL AND GLOBAL PROPERTIES, AND APPROXIMATION

Cites Work

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• Superdecomposition integrals
• The Choquet integral with respect to a level dependent capacity
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• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Triangular norms
• Decomposition integrals
• Decomposition-integral: unifying Choquet and the concave integrals
• Integrals of set-valued functions
• Theory of capacities
• Subjective Probability and Expected Utility without Additivity
• Integral Representation Without Additivity

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