Triangular norms on discrete settings

G Mayor, J Torrens - Logical, Algebraic, Analytic and Probabilistic Aspects …, 2005 - Elsevier
… When we deal with logics where the class of truth values is modelled by a discrete set, their
connectives can also be interpreted from the so called discrete triangular norms, discrete
triangular conorms and discrete strong negations. Our interest in this topic is motivated by the
fact that in most practical situations it is necessary to reduce the range [0, 1] to some finite or
countably infinite set of truth values. In this sense, it is worth-while to point out that, in our setting,
discrete t-norm means not only a triangular norm defined on a finite subchain (… Implication …
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