Two open problems of Jayaram are solved. Firstly, we prove that an Archimedean triangular norm with a strong associated negation is necessarily left-continuous. Secondly, as straightforward consequence of the first result, we show that an Archimedean triangular norm with a strong associated negation is necessarily conditionally cancellative.

T-norms with strong negations: Solution of two open problems

Ghiselli Ricci, Roberto
2018-01-01

Abstract

Two open problems of Jayaram are solved. Firstly, we prove that an Archimedean triangular norm with a strong associated negation is necessarily left-continuous. Secondly, as straightforward consequence of the first result, we show that an Archimedean triangular norm with a strong associated negation is necessarily conditionally cancellative.
2018
332
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/5036512
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