Abstract Fuzzy reasoning method has been successfully applied to fuzzy controller design, fuzzy
expert system integration and many other fields. As an improvement of the traditional fuzzy reasoning
method, Chinese scholars have proposed a symmetric inference method based on the triple I method.
The research on the nature, such as robustness of fuzzy reasoning method is an important direction
in the field of fuzzy logic. This paper discusses the robustness of the symmetric implication methods
based on the normalized Minkowski distance, the robustness of the four algorithms for several important
implication operators are given. Thus it provides a scientiˉc basis for the selection and applications of
fuzzy reasoning methods.
WANG Long, PEI Dao-wu. The robustness analysis of the symmetric implicational methods. Applied Mathematics A Journal of Chinese Universities, 2018, 33(2): 232-242.
