On the vertical threshold generation method of fuzzy implication and its properties

DOI10.1016/J.FSS.2013.03.003zbMath1284.68552OpenAlexW1992064601MaRDI QIDQ2445533

Joan Torrens, Sebastia Massanet

Publication date: 14 April 2014

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2013.03.003

zbMATH Keywords

fuzzy implicationfuzzy connectives and aggregation operatorsexchange principlecontrapositive symmetryvertical threshold generation method

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (13)

Representations through a monoid on the set of fuzzy implications ⋮ A new family of (A, N)-implications: Construction and properties ⋮ The \(\circledast\)-composition of fuzzy implications: closures with respect to properties, powers and families ⋮ A method to construct fuzzy implications -- rotation construction ⋮ A New Look on Fuzzy Implication Functions: FNI-implications ⋮ A New Look on the Ordinal Sum of Fuzzy Implication Functions ⋮ Polynomial constructions of fuzzy implication functions: the quadratic case ⋮ The study on semicopula based implications ⋮ \(N\)-vertical generated implications and their distributivities over \(t\)-norms and \(t\)-conorms ⋮ On ordinal sum implications ⋮ A review of the relationships between implication, negation and aggregation functions from the point of view of material implication ⋮ An Overview of Construction Methods of Fuzzy Implications ⋮ Characterizations of \((U^2,N)\)-implications generated by 2-uninorms and fuzzy negations from the point of view of material implication

Cites Work

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• On a new class of fuzzy implications: \(h\)-implications and generalizations
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• On fuzzy implications determined by aggregation operators
• Fuzzy implications
• On dependencies and independencies of fuzzy implication axioms
• Continuous R-implications generated from representable aggregation functions
• \(I\)-fuzzy equivalence relations and \(I\)-fuzzy partitions
• Fuzzy techniques in image processing
• Triangular norms
• On the representation of fuzzy rules
• A characterization of residual implications derived from left-continuous uninorms

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