Tang, Yiming; Li, Xiaomei; Wu, Xi An FMT-universal triple I\(*\) method for R-implication operators. (Chinese. English summary) Zbl 1313.68243 J. Shandong Univ., Nat. Sci. 49, No. 8, 22-27 (2014). Summary: Focusing on the FMT (fuzzy modus tollens) problem of fuzzy reasoning, as a generalization and improvement of triple I\(*\) method, an FMT-universal triple I\(*\) method is put forward and thoroughly investigated. First of all, the attributes of the FMT-universal triple I\(*\) method are analyzed, and its basic principle is proposed, which improves the one of triple I\(*\) methods. Furthermore, the unified form of the FMT-universal triple I\(*\) method is established. Meanwhile some optimal solutions are obtained for several classical R-implication operators. Finally, the contrapositive reversibility property of the FMT-universal triple I\(*\) method is proved with excellent results. MSC: 68T37 Reasoning under uncertainty in the context of artificial intelligence 03B52 Fuzzy logic; logic of vagueness Keywords:fuzzy reasoning; universal triple-I method; reversibility property PDFBibTeX XMLCite \textit{Y. Tang} et al., J. Shandong Univ., Nat. Sci. 49, No. 8, 22--27 (2014; Zbl 1313.68243) Full Text: DOI