Choquet integrals and natural extensions of lower probabilities

DOI10.1016/S0888-613X(96)00078-3zbMath0935.28010MaRDI QIDQ1809380

George J. Klir, Zhenyuan Wang

Publication date: 20 December 1999

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

zbMATH Keywords

Dempster-Shafer theorycapacityChoquet integralfuzzy measureimprecise probabilitiesbelief measuremonotone set functionsnatural exensions

Mathematics Subject Classification ID

Probability and inductive logic (03B48) Foundations of probability theory (60A99) Fuzzy measure theory (28E10)

Related Items (9)

CONVERGENCE THEOREMS FOR SEQUENCES OF CHOQUET INTEGRALS ⋮ Analog of \(L ^{ p }\) with a subadditive measure ⋮ Discover dependency pattern among attributes by using a new type of nonlinear multiregression ⋮ A new nonlinear classifier with a penalized signed fuzzy measure using effective genetic algorithm ⋮ A new type of nonlinear and the computational algorithm ⋮ Indeterminate integrals with respect to nonadditive measures ⋮ Nonlinear nonnegative multiregressions based on Choquet integrals ⋮ Concave integral with respect to imprecise probabilities ⋮ Applying fuzzy measures and nonlinear integrals in data mining

Cites Work

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• Characterization and comparison of Sugeno and Choquet integrals
• Some quantities represented by the Choquet integral
• Non-additive measure and integral
• Monotone set functions defined by Choquet integral
• Theory of capacities
• PFB-Integrals and PFA-Integrals with Respect to Monotone Set Functions
• PAN-INTEGRALS WITH RESPECT TO IMPRECISE PROBABILITIES

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