id: 06080912 dt: j an: 06080912 au: Pei, Daowu ti: Formalization of implication based fuzzy reasoning method. so: Int. J. Approx. Reasoning 53, No. 5, 837-846 (2012). py: 2012 pu: Elsevier Science Inc. (North-Holland), New York, NY la: EN cc: ut: fuzzy reasoning; triple I method; monoidal t-norm based logic ci: li: doi:10.1016/j.ijar.2012.01.007 ab: Summary: Fuzzy reasoning includes a number of important inference methods for addressing uncertainty. This line of fuzzy reasoning forms a common logical foundation in various fields, such as fuzzy logic control and artificial intelligence. The full implication triple I method (a method only based on implication, TI method for short) for fuzzy reasoning is proposed in 1999 to improve the popular CRI method (a hybrid method based on implication and composition). The current paper delves further into the TI method, and a sound logical foundation is set for the TI method based on the monoidal t-norm based logical system MTL. rv: