Fuzzy implication functions based on powers of continuous t-norms

DOI10.1016/j.ijar.2017.01.014zbMath1404.03024OpenAlexW2585733431MaRDI QIDQ518623

Sebastia Massanet, Joan Torrens, Jordi Recasens

Publication date: 29 March 2017

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

Full work available at URL: http://hdl.handle.net/2117/104276

zbMATH Keywords

continuous t-normfuzzy implication functionfuzzy negationpowers of t-norms

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

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Cites Work

• RU and \((U,N)\)-implications satisfying modus ponens
• On ordinal sum implications
• On a new class of fuzzy implications: \(h\)-implications and generalizations
• Threshold generation method of construction of a new implication from two given ones
• Powers of t-norms
• Fuzzy implications
• Comparison of fuzzy reasoning methods
• Triangular norms
• The \(\circledast\)-composition of fuzzy implications: closures with respect to properties, powers and families
• New types of contrapositivisation of fuzzy implications with respect to fuzzy negations
• Advances in fuzzy implication functions
• On the representation of fuzzy rules
• On fuzzy implications: an axiomatic approach
• Similarity relations and fuzzy orderings
• On a Generalization of the Modus Ponens: U-conditionality
• Unnamed Item
• Unnamed Item