On the distributivity of fuzzy implications and the weighted \(S\)-implications

DOI10.1016/j.ijar.2021.06.001OpenAlexW3166124416MaRDI QIDQ2237510

Yanyan Li

Publication date: 27 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.ijar.2021.06.001

zbMATH Keywords

fuzzy implicationfuzzy connectivesassociativity propertybisymmetry propertydistributivity propertypliant operators

Mathematics Subject Classification ID

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

Related Items (1)

Directional monotonic fuzzy implication functions induced from directional increasing quasi-grouping functions

Cites Work

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• On distributivity equations of implications and contrapositive symmetry equations of implications
• On a certain class of aggregative operators
• DeMorgan systems with an infinitely many negations in the strict monotone operator case
• The distributivity condition for uninorms and t-operators
• Fuzzy implications
• On the distributivity between t-norms and t-conorms.
• Triangular norms
• Advances in fuzzy implication functions
• The distributive laws of fuzzy implications over overlap and grouping functions
• Distributivity equations of implications based on continuous triangular conorms. II
• Some remarks on the distributive equation of fuzzy implication and the contrapositive symmetry for continuous, Archimedean t-norms
• The distributive equations for idempotent uninorms and nullnorms
• ON DISTRIBUTIVITY AND MODULARITY IN DE MORGAN TRIPLETS
• ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
• DISTRIBUTIVE IDEMPOTENT UNINORMS

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