Triangular Norms with Continous Daigonals
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It is an old open question whether a t-norm with a continuous diagonal must be continuous . We give a partial positive answer for t-norms with noncontinuous additive generators (constructed by the technique of [1, 3]). Besides this, we give necessary and sufficient conditions for a function to be the diagonal of a continuous t-norm, and we characterize all continuous t-norms with a given diagonal (according to ).
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