On the distributivity of implication operators over T and S norms.

On the distributivity of implication operators over T and S norms.

In this paper, we explore the distributivity of implication operators [especially Residuated (R)- and Strong (S)-implications] over Takagi (T)- and Sugeno (S)-norms. The motivation behind this work is the on going discussion on the law [(p∧q)→r]≡[(p→r)Λ(q→r)] in fuzzy logic as given in the title of...

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Bibliografische gegevens
Gepubliceerd in:IEEE Transactions on fuzzy systems 12, 2 (2004).
Hoofdauteur: Balasubramaniam, J.
Formaat: Artikel
Taal:English
Onderwerpen:
S-norms.
Sugeno-norms.
T-norms.
Takagi-norms.
Binary operator.
Fuzzy logic.
Implication operators.
Open problems.