A representation theorem and a Lyapunov theorem for \(T_S\)-measures: The solution of two problems of Butnariu and Klement

DOI10.1006/jmaa.2000.6710zbMath0965.28010OpenAlexW2020589517MaRDI QIDQ1977813

Hans Weber, Giuseppina Barbieri

Publication date: 14 December 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6710

zbMATH Keywords

representation theoremt-normsLyapunov theoremŁukasiewicz t-normdual conormFrank systems

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (4)

Triangular norms. Position paper II: General constructions and parameterized families ⋮ An algebraic generalization of the notion of tribe ⋮ A representation theorem and a Lyapunov theorem for \(T_S\)-measures: The solution of two problems of Butnariu and Klement ⋮ Sufficient triangular norms in many-valued logics with standard negation

Cites Work

• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Group-valued modular functions
• Range of finitely additive fuzzy measures
• On modular functions
• \(\mathbb{T}_ S\)-tribes and \(\mathbb{T}_ S\)-measures
• A representation theorem and a Lyapunov theorem for \(T_S\)-measures: The solution of two problems of Butnariu and Klement
• Die atomare Struktur topologischer Boolescher Ringe und s-beschränkter Inhalte
• The Hahn decomposition theorem for fuzzy measures and applications
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