On fuzzy random sets and their mathematical expectations

DOI10.1016/0020-0255(93)90032-HzbMath0788.46080MaRDI QIDQ1310917

Dazhi Zhang, He Ouyang, Ronald R. Yager, Lee, E. Stanley

Publication date: 17 May 1994

Published in: Information Sciences (Search for Journal in Brave)

zbMATH Keywords

calculus of set-valued functions and fuzzy functionsclasses of random setsembedding of the space of fuzzy sets into a normed linear spacemathematical expectations of random sets

Mathematics Subject Classification ID

Probability theory on algebraic and topological structures (60B99) Fuzzy functional analysis (46S40)

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Equivalent conditions for laws of large numbers for \(T\)-related L-R fuzzy numbers ⋮ Representation of fuzzy-valued mappings by the sequence of single-valued mappings

Cites Work

• Differentials of fuzzy functions
• Topological properties of the spaces of regular fuzzy sets
• Fuzzy random variables - I. Definitions and theorems
• Towards fuzzy differential calculus. I: Integration of fuzzy mappings
• On the convergence of fuzzy sets and the completeness of the space of fuzzy sets
• Integrals of set-valued functions
• Theory of capacities
• Fuzzy sets
• An Embedding Theorem for Spaces of Convex Sets
• Fuzzy random variables
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