Fuzzy number-valued fuzzy measure and fuzzy number-valued fuzzy integral on the fuzzy set

DOI10.1016/0165-0114(92)90287-EzbMath0782.28017OpenAlexW2037428035MaRDI QIDQ1311810

Guang-Quan Zhang

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(92)90287-e

zbMATH Keywords

null-additivityconvergence theoremsfuzzy integralautocontinuityfuzzy \(\sigma\)-algebrafuzzy number-valued fuzzy measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (13)

Lattice-valued fuzzy measure and lattice-valued fuzzy integral ⋮ Decision Making Under Z-Information ⋮ Generalized Carathéodory extension theorem on fuzzy measure space ⋮ Fuzzy logic-based generalized decision theory with imperfect information ⋮ On fuzzy number-valued fuzzy measures defined by fuzzy number-valued fuzzy integrals. I ⋮ NECESSITY MEASURES AND NECESSITY INTEGRALS ON A COMPLETE LATTICE ⋮ On fuzzy number-valued fuzzy measures defined by fuzzy number-valued fuzzy integrals. II ⋮ Complex Fuzzy Set-Valued Complex Fuzzy Integral and Its Convergence Theorem ⋮ \(\mathbf L\)-fuzzy quantifiers of type \(\langle 1\rangle \) determined by fuzzy measures ⋮ Functions defined on a set of Z-numbers ⋮ The structural characteristics of the fuzzy number-valued fuzzy measure on the fuzzy \(\sigma\)-algebra and their applications ⋮ Convergence of a sequence of fuzzy number-valued fuzzy measurable functions on the fuzzy number-valued fuzzy measure space ⋮ The convergence for a sequence of fuzzy integrals of fuzzy number-valued functions on the fuzzy set

Cites Work

• The autocontinuity of set function and the fuzzy integral
• Fuzzy continuous function and its properties
• Fuzzy sets
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