Continuity properties and error propagation of reverse triple-implication method of fuzzy reasoning
反向三I算法的连续性和误差传播

We investigate the continuity properties of the implicit reverse triple-implication algorithm; and discuss in depth the error propagation in this type of algorithm. A fuzzy inference algorithm is viewed as a mapping from one fuzzy set to the other fuzzy set; the distance between them is computed by the Hamming distance formula. We prove that the algorithm holds continuity properties in the case of fuzzy modus ponens and fuzzy modus tollendo ponens. In both cases, the magnification factor for the errors is 2.