Autocontinuity, convergence in measure, and convergence in distribution

DOI10.1016/S0165-0114(97)00170-XzbMath0927.28012MaRDI QIDQ1296903

Toshiaki Murofushi, Michio Sugeno, Manabu Suzaki

Publication date: 3 August 1999

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

zbMATH Keywords

Choquet integralconvergence in distributionconvergence in measurefuzzy measuredominated convergence theoremautocontinuity

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (12)

Conditions for Egoroff's theorem in non-additive measure theory ⋮ SET-VALUED CHOQUET-PETTIS INTEGRALS ⋮ A universal, canonical dispersive ordering in metric spaces ⋮ The bounded convergence in measure theorem for nonlinear integral functionals ⋮ On properties of the Choquet integral of interval-valued functions ⋮ A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties ⋮ A note on the pseudo Stolarsky type inequality for the \(\overline{g}\)-integral ⋮ Autocontinuity and convergence theorems for the Choquet integral ⋮ Metrizability of the Lévy topology on the space of nonadditive measures on metric spaces ⋮ The Vitali convergence in measure theorem of nonlinear integrals ⋮ CONVERGENCE THEOREMS FOR THE CHOQUET-PETTIS INTEGRAL ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect—

Cites Work

• The autocontinuity of set function and the fuzzy integral
• Non-additive measure and integral
• Unnamed Item

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