The Skorokhod topology on space of fuzzy numbers

DOI10.1016/S0165-0114(98)00185-7zbMath0961.54024MaRDI QIDQ1973358

Sang Yeol Joo, Yun Kyong Kim

Publication date: 29 May 2001

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

zbMATH Keywords

fuzzy numbersPolish space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fuzzy real analysis (26E50) Limit theorems in probability theory (60F99)

Related Items (21)

Compactness and convexity on the space of fuzzy sets. II ⋮ Some properties of a new metric on the space of fuzzy numbers ⋮ Expansive properties of induced dynamical systems ⋮ Some properties of Skorokhod metric on fuzzy sets ⋮ The topological structure of the set of fuzzy numbers with the supremum metric ⋮ CHARACTERIZATIONS OF THE BOREL -FIELDS OF THE FUZZY NUMBER SPACE ⋮ Answers to some questions about Zadeh's extension principle on metric spaces ⋮ Continuity of functions defined on the space of fuzzy sets. ⋮ Supremum metric on the space of fuzzy sets and common fixed point theorems for fuzzy mappings ⋮ Sensitivity and strong sensitivity on induced dynamical systems ⋮ Measurability for fuzzy valued functions ⋮ A characterization of compact subsets of fuzzy number space ⋮ Compactness and convexity on the space of fuzzy sets ⋮ Random metric space of fuzzy numbers ⋮ \(L\)-metric on the space of \(L\)-fuzzy numbers ⋮ Some questions about Zadeh's extension on metric spaces ⋮ Unnamed Item ⋮ Some properties of the space of fuzzy-valued continuous functions on a compact set ⋮ Topological properties on the space of fuzzy sets ⋮ Some properties of the \(d_p\)-metrics on fuzzy sets ⋮ Unnamed Item

Cites Work

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• Elementary fuzzy calculus
• Embedding problem of fuzzy number space. II
• Laws of large numbers for D(0,1)
• Integrals of fuzzy-number-valued functions
• Limit theorems for fuzzy random variables

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