On the distributivity for the ordinal sums of implications over t-norms and t-conorms

DOI10.1016/J.IJAR.2022.10.012OpenAlexW4308405632MaRDI QIDQ2105612

Jing Lu, Bin Zhao

Publication date: 8 December 2022

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2022.10.012

zbMATH Keywords

distributivityfuzzy implicationordinal sum construction

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On ordinal sum implications
• \(QL\)-operations and \(QL\)-implication functions constructed from tuples \((O,G,N)\) and the generation of fuzzy subsethood and entropy measures
• Residuated lattices. An algebraic glimpse at substructural logics
• Fuzzy implications
• Residual implications and left-continuous t-norms which are ordinal sums of semigroups.
• Fuzzy techniques in image processing
• Triangular norms
• A study of (T,N)-implications and its use to construct a new class of fuzzy subsethood measure
• Computing with words in information/intelligent systems 1. Foundations
• Distributivity of a class of ordinal sum implications over t-norms and t-conorms
• Definition and construction of fuzzy DI-subsethood measures
• Generating Fuzzy Implications by Ordinal Sums
• From computing with numbers to computing with words. From manipulation of measurements to manipulation of perceptions
• A New Look on the Ordinal Sum of Fuzzy Implication Functions

This page was built for publication: On the distributivity for the ordinal sums of implications over t-norms and t-conorms