CONVERGENCE THEOREMS FOR SEQUENCES OF CHOQUET INTEGRALS

DOI10.1080/03081079708945174zbMath0880.28015OpenAlexW2092207259MaRDI QIDQ4358957

Zhenyuan Wang

Publication date: 20 November 1997

Published in: International Journal of General Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081079708945174

zbMATH Keywords

Choquet integralfuzzy measuresconvergence theoremsimprecise probabilitiesnonlinear functionalsnonadditive monotone set functionsstructural characteristics of nonnegative monotone set functions

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (17)

A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE ⋮ Set-valued Choquet integrals revisited ⋮ On the fundamental convergence in the \((C)\) mean in problems of information fusion ⋮ The bounded convergence in measure theorem for nonlinear integral functionals ⋮ Unnamed Item ⋮ Pseudo-integral and generalized Choquet integral ⋮ On properties of the Choquet integral of interval-valued functions ⋮ Convergence theorems for Choquet integrals with generalized autocontinuity ⋮ Some inequalities and convergence theorems for Choquet integrals ⋮ Choquet integral of fuzzy-number-valued functions: the differentiability of the primitive with respect to fuzzy measures and Choquet integral equations ⋮ A new nonlinear classifier with a penalized signed fuzzy measure using effective genetic algorithm ⋮ Autocontinuity and convergence theorems for the Choquet integral ⋮ A unified approach to the monotone convergence theorem for nonlinear integrals ⋮ The Vitali convergence in measure theorem of nonlinear integrals ⋮ A new type of nonlinear and the computational algorithm ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ Real-valued Choquet integrals for set-valued mappings

Cites Work

• The autocontinuity of set function and the fuzzy integral
• An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
• Characterization and comparison of Sugeno and Choquet integrals
• Non-additive measure and integral
• Choquet integrals and natural extensions of lower probabilities
• Theory of capacities

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