Fuzzy integrals of fuzzy-valued functions

DOI10.1016/0165-0114(93)90361-KzbMath0782.28016OpenAlexW2019155031MaRDI QIDQ1311876

Deli Zhang, Zi-Xiao Wang

Publication date: 20 January 1994

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

Full work available at URL: https://doi.org/10.1016/0165-0114(93)90361-k

zbMATH Keywords

fuzzy measuresconvergence theoremsSugeno integralinterval numberfuzzy integral of fuzzy-valued functionsfuzzy integral of interval-valued functionsfuzzy integrals of set- valued functions

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (18)

Set-valued Choquet integrals revisited ⋮ On the properties of sequences of fuzzy-valued Choquet integrable functions ⋮ On the convergence of sequences of fuzzy measures and generalized convergence theorems of fuzzy integrals ⋮ Fuzzy integrals of set-valued mappings and fuzzy mappings ⋮ Generalized fuzzy integrals of set-valued functions ⋮ Some inequalities and convergence theorems for Choquet integrals ⋮ A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties ⋮ Integrals of set-valued functions for \(\perp\)-decomposable measures ⋮ A fuzzy Gould type integral ⋮ Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ On the representation of Choquet integrals of set-valued functions and null sets ⋮ Fuzzy-valued fuzzy measures and generalized fuzzy integrals ⋮ Fuzzy number fuzzy measures and fuzzy integrals. I: Fuzzy integrals of functions with respect to fuzzy number fuzzy measures ⋮ Generalized fuzzy integrals of fuzzy-valued functions ⋮ Fuzzy number fuzzy measures and fuzzy integrals. II. Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets ⋮ Decomposition integrals for interval-valued functions ⋮ On set-valued fuzzy integrals ⋮ Strong integral of multifunctions relative to a fuzzy measure

Cites Work

• The autocontinuity of set function and the fuzzy integral
• The fuzzy integral
• Fuzzy sets and systems. Theory and applications
• Towards fuzzy differential calculus. I: Integration of fuzzy mappings
• Integrals of set-valued functions
• Fuzzy sets
• Fuzzy random variables
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