剩余型直觉模糊推理的三I方法

要本文研究了由左连续三角模所生成的直觉三角模的性质，给出了与直觉三角模相伴随的剩余型直觉蕴涵算子的等价刻画，揭示了直觉模糊蕴涵算子和模糊蕴涵算子的关系．结合模糊推理的三I方法，针对剩余型直觉蕴涵算子，提出直觉模糊推理IFMP问题的三I方法和分解方法，给出两种方法的求解公式，并讨论了它们的还原性，证明了三I方法和分解方法具有良好的还原性．最后提出了IFMP问题的a-三I方法．并给出相应的算例分析．

Triple I method of intuitionistic fuzzy reasoning based on residual implicator

This paper investigates the properties of the intuitionistic triangular norm induced by the leftcontinuous t-norm, and presents the equivalent characterization of intuitionistic residual implicator adjoint intuitionistic triangular norms, which clarifies 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 decomposition 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 a-triple I method for the IFMP problem and provides a corresponding example.