剩余型直觉模糊推理的三I方法
摘要
This paper investigates the properties of the intuitionistic triangular norm induced by the left-continuous t-norm, and presents the equivalent characterization of intuitionistic residual implicator adjoint in-tuitionistic triangular norms, which clari es the relationship between intuitionistic fuzzy implications and fuzzy implications. According to the triple I method of fuzzy reasoning, this paper proposes the triple I and decomposi-tion methods for solving the IFMP problem of intuitionistic fuzzy reasoning for a residual intuitionistic implicator, and proposes two types of solving formulas. Moreover, this paper discusses the reductivity of the methods and shows that the triple I and decomposition methods for the IFMP problem possess the virtue of reductivity. Finally, the paper proposes the α-triple I method for the IFMP problem and provides a corresponding example.