Sendograph metric and relatively compact sets of fuzzy sets

DOI10.1016/J.FSS.2005.07.003zbMath1085.54004OpenAlexW1964752302MaRDI QIDQ812617

Gabriele H. Greco

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2005.07.003

zbMATH Keywords

compactnessfuzzy settopology\(\Gamma\)-convergenceHausdorff distancesendograph metricvariational convergence

Mathematics Subject Classification ID

Fuzzy topology (54A40) Special maps on metric spaces (54E40) Compact (locally compact) metric spaces (54E45)

Related Items (12)

Some notes on the characterization of compact sets of fuzzy sets with \(L_p\) metric ⋮ A Peano theorem for fuzzy differential equations with evolving membership grade ⋮ The core of a double sequence of fuzzy numbers ⋮ Characterizations of compact sets in fuzzy set spaces with \(L_p\) metric ⋮ A t-norm embedding theorem for fuzzy sets ⋮ Characterization of the sendograph-convergence of fuzzy sets by means of their \(L_p\)- and levelwise convergence ⋮ Some notes on Zadeh's extensions ⋮ The equivalence of convergences of sequences of fuzzy numbers and its applications to the characterization of compact sets ⋮ A note on the sendograph metric of fuzzy numbers ⋮ Characterizations of endograph metric and \(\Gamma\)-convergence on fuzzy sets ⋮ Fuzzy compactness via summability ⋮ The topological structure of fuzzy sets with endograph metric

Cites Work

• On the convergence of fuzzy sets
• Compact supported endographs and fuzzy sets
• On the compactness of fuzzy numbers with sendograph metric
• A characterization of relatively compact sets of fuzzy sets
• Supremum metric and relatively compact sets of fuzzy sets
• A note on compact sets in spaces of subsets
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