Additive generators of border-continuous triangular norms

DOI10.1016/j.fss.2008.01.031zbMath1216.03062OpenAlexW2013504109MaRDI QIDQ835170

Peter Viceník

Publication date: 28 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2008.01.031

zbMATH Keywords

semigroupCantor functiontriangular normtriangular conormadditive generatorassociative law

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (10)

On an Open Problem of U. Höhle - A Characterization of Conditionally Cancellative T-Subnorms ⋮ Continuous additive generators of continuous, conditionally cancellative triangular subnorms ⋮ Solution to an open problem: a characterization of conditionally cancellative t-subnorms ⋮ On interval fuzzy implications derived from interval additive generators of interval t-norms ⋮ Interval additive generators of interval t-norms and interval t-conorms ⋮ On some algebraic and topological properties of generated border-continuous triangular norms ⋮ On a class of generated triangular norms and their isomorphisms ⋮ On additive generators of overlap functions ⋮ The constructions of non-continuous additive generators of t-conorms based on discrete additive generators of discrete t-conorms ⋮ Ranks of additive generators

Cites Work

• Fibred triangular norms
• Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms
• Continuous triangular subnorms.
• Triangular norms
• Additive generators of associative functions
• Sur les opérations définies pour nombres réels
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