Article ID Journal Published Year Pages File Type
395303 Information Sciences 2009 11 Pages PDF
Abstract

In this paper the law of importation is studied for implications defined on a finite chain L  . We give a whole characterization of those S, R, QL and D-implications, derived from smooth discrete t-norms and t-conorms, that satisfy the law of importation with a discrete t-norm T1T1. QL and D-implications derived from a special family of non-smooth t-conorms are also studied. Moreover, the study of the law of importation for these two last types of implications, in the framework of the unit interval [0,1], is completed from already known results on the topic.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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