Natural construction method of ordinal sum implication and its distributivity

DOI10.1016/j.ijar.2022.09.015OpenAlexW4302009883MaRDI QIDQ2105585

Yanyan Li

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.2022.09.015

zbMATH Keywords

t-normfuzzy implicationt-conormordinal sumdistributivity equation

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On ordinal sum implications
• Fuzzy implications
• Triangular norms
• Distributivity of a class of ordinal sum implications over t-norms and t-conorms
• Distributivity of \(N\)-ordinal sum fuzzy implications over \(t\)-norms and \(t\)-conorms
• Ordinal sums of the main classes of fuzzy negations and the natural negations of t-norms, t-conorms and fuzzy implications
• A New Look on the Ordinal Sum of Fuzzy Implication Functions
• On the ordinal sum of fuzzy implications: new results and the distributivity over a class of overlap and grouping functions

This page was built for publication: Natural construction method of ordinal sum implication and its distributivity