Decompositions and range for additive fuzzy measures

DOI10.1016/S0165-0114(83)80111-0zbMath0528.28009MaRDI QIDQ786961

Dan Butnariu

Publication date: 1983

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

zbMATH Keywords

additive fuzzy measureHahn decompositions

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Theory of fuzzy sets, etc. (03E72) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05) Set functions, measures and integrals with values in abstract spaces (28B99) Classical measure theory (28A99)

Related Items (7)

Values and cores of fuzzy games with infinitely many players ⋮ Triangular norm-based measures and their Markov kernel representation ⋮ A measure theoretical approach of the problem of computing production costs ⋮ Range of finitely additive fuzzy measures ⋮ The structural properties and weak convergence of fuzzy orthogonal measures ⋮ Fuzzy shortest paths ⋮ Non-atomic fuzzy measures and games

Cites Work

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• Fuzzy measurability and integrability
• Probability measures of fuzzy events
• Relations among certain ranges of vector measures
• The ranges of additive set functions
• Values of Non-Atomic Games
• Fuzzy sets
• On the set of values of a finite measure
• The range of a vector measure
• An Extension of a Result of Liapounoff on the Range of a Vector Measure
• The Range of Certain Vector Integrals

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