Solutions of Equation I(x,y) = I(x,I(x,y)) for Implications Derived from Uninorms

DOI10.1007/978-3-642-23713-3_1zbMath1284.03186OpenAlexW109234488MaRDI QIDQ3092189

Sebastia Massanet, Joan Torrens

Publication date: 16 September 2011

Published in: Fuzzy Logic and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-23713-3_1

zbMATH Keywords

functional equationfuzzy implicationuninorm

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Functional equations for real functions (39B22)

Related Items

The \(\circledast\)-composition of fuzzy implications: closures with respect to properties, powers and families ⋮ A new class of fuzzy implications derived from generalized \(h\)-generators ⋮ On the characterizations of fuzzy implications satisfying \(I(x,I(y,z))=I(I(x,y),I(x,z))\) ⋮ Homomorphisms on the monoid of fuzzy implications and the iterative functional equation \(I(x, I(x, y)) = I(x, y)\)