Residual implications revisited. Notes on the Smets-Magrez theorem.
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Publication:1885725
DOI10.1016/S0165-0114(03)00245-8zbMath1064.03019MaRDI QIDQ1885725
Publication date: 12 November 2004
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Triangular normFunctional equationsResidual implicationFuzzy implicationGoguen implicationŁukasiewicz implication
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Cites Work
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- Unnamed Item
- Implication in fuzzy logic
- A new look at fuzzy connectives
- Triangular norms
- \(R _{0}\) implication: Characteristics and applications
- Contrapositive symmetry of fuzzy implications
- A new class of fuzzy implications. Axioms of fuzzy implication revisited
- The logic of inexact concepts
- Fuzzy sets in a approximate reasoning. I: Inference with possibility distributions
- ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
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