Rotation-invariant t-norms: the rotation invariance property revisited

DOI10.1016/j.fss.2008.07.012zbMath1183.03051DBLPjournals/fss/MaesB09OpenAlexW2072979561WikidataQ60257745 ScholiaQ60257745MaRDI QIDQ834518

Bernard De Baets, Koen C. Maes

Publication date: 27 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.2008.07.012

zbMATH Keywords

rotation invariancet-normuninormcontour line

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (11)

On the Ferrers property of valued interval orders ⋮ Co-rotation-annihilations of residuated semigroups ⋮ Continuity of left-continuous triangular norms with special associated negations ⋮ A construction method of semicopulas from fuzzy negations ⋮ Conic aggregation functions ⋮ A single-point characterization of representable uninorms ⋮ Associativity of triangular norms characterized by the geometry of their level sets ⋮ On properties of uninorms with underlying t-norm and t-conorm given as ordinal sums ⋮ On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions ⋮ Rotation-invariant t-norms: where triple rotation and rotation-annihilation meet ⋮ On the structure of special classes of uninorms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of left-continuous t-norms that have a continuous contour line
• Cancellativity properties for t-norms and t-subnorms
• Rotation-invariant t-norms: where triple rotation and rotation-annihilation meet
• A new look at fuzzy connectives
• Uninorm aggregation operators
• Triangular norms
• On the geometry of associativity.
• Orthosymmetrical monotone functions
• Structure of Uninorms
• Distributivity and conditional distributivity of a uninorm and a continuous t-conorm

This page was built for publication: Rotation-invariant t-norms: the rotation invariance property revisited