Tick, József; Fodor, János Fuzzy implications and inference processes. (English) Zbl 1109.68119 Comput. Inform. 24, No. 6, 591-602 (2005). Summary: We define fuzzy implications in general, then study their families defined from t-norms, t-conorms and strong negations. Connections between such implications and negations are established. Some basic results are presented concerning the contrapositive symmetry property. The study gives birth to a new class of t-norms. Members of this family, together with the corresponding R-implications, have attractive properties making them competitive in different applications, especially in fuzzy inference rules. Cited in 2 Documents MSC: 68T37 Reasoning under uncertainty in the context of artificial intelligence 03B52 Fuzzy logic; logic of vagueness 94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory) Keywords:fuzzy inference; implications; t-norms; t-conorms; nilpotent minimum PDFBibTeX XMLCite \textit{J. Tick} and \textit{J. Fodor}, Comput. Inform. 24, No. 6, 591--602 (2005; Zbl 1109.68119)