Measure of a fuzzy set. The \(\alpha\)-cut approach in the finite case

DOI10.1016/S0165-0114(00)00074-9zbMath0993.28007OpenAlexW2045911313MaRDI QIDQ5951770

Maria Luisa Capodieci, Margherita Solci, Carlo Bertoluzza

Publication date: 7 January 2002

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(00)00074-9

zbMATH Keywords

fuzzy measure\(L\)-fuzzy sets\(\alpha\)-cutsSugeno measuretriangular conorm

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (9)

The elucidation of multipliers and their moments in fuzzy closed Leontief input--output systems ⋮ (α, β)-cuts and inverse (α, β)-cuts in bipolar fuzzy soft sets ⋮ On cuts of Atanassov's intuitionistic fuzzy sets with respect to fuzzy connectives ⋮ The \(n\)-dimensional fuzzy sets and zadeh fuzzy sets based on the finite valued fuzzy sets ⋮ Interval-valued level cut sets of fuzzy set ⋮ The cut sets, decomposition theorems and representation theorems on intuitionistic fuzzy sets and interval valued fuzzy sets ⋮ Three new cut sets of fuzzy sets and new theories of fuzzy sets ⋮ The three-dimensional fuzzy sets and their cut sets ⋮ Sufficient Conditions of Cut Sets on Intuitionistic Fuzzy Sets

Cites Work

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• Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral
• A theory of fuzzy measures: Representations, the Choquet integral, and null sets
• Fuzzy measure of fuzzy events defined by fuzzy integrals

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