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

摘要

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. (C) 2017 Elsevier B.V. All rights reserved.