Compactness and convexity on the space of fuzzy sets

DOI10.1006/JMAA.2001.7658zbMath1002.54005OpenAlexW1997237571MaRDI QIDQ5956507

Yun Kyong Kim

Publication date: 20 February 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7658

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Compactness (54D30) Fuzzy topology (54A40)

Related Items (12)

Strong consistency and rates of convergence for a random estimator of a fuzzy set ⋮ Compactness and convexity on the space of fuzzy sets. II ⋮ The topological structure of the set of fuzzy numbers with \(L_p\) metric ⋮ Some properties of a new metric on the space of fuzzy numbers ⋮ The topological structure of the set of fuzzy numbers with the supremum metric ⋮ 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 ⋮ An embedding theorem for convex fuzzy sets ⋮ Some questions about Zadeh's extension on metric spaces ⋮ On common fixed point theorems in the stationary fuzzy metric space of the bounded closed sets ⋮ Some properties of the \(d_p\)-metrics on fuzzy sets ⋮ Convergence in distribution for level-continuous fuzzy random sets

Cites Work

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• Elementary fuzzy calculus
• On the convergence of fuzzy sets
• Embedding problem of fuzzy number space. II
• Laws of large numbers for D(0,1)
• Topological properties on the space of fuzzy sets
• The Skorokhod topology on space of fuzzy numbers
• Limit theorems for fuzzy random variables
• REPRESENTATION THEOREMS FOR FUZZY CONCEPTS
• A characterization of compact subsets of fuzzy number space

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