基本异蕴涵算法连续性的研究

Study on Continuity of Basic Differently Implicational Method

在模糊推理领域中,逻辑层面的独特优势奠定了三I方法的国际地位,但在模糊系统理论层面研究的不理想导致其遭遇瓶颈期。对此,以我们先前提出的基本异蕴涵算法(三I方法的推广)为起点,文章面向基本异蕴涵算法各类算子的性质关联,探究基本异蕴涵算法的连续性;试图籍此给三I方法的体系带来突破,带动模糊推理、情感计算的理论建设与应用辐射。

In the field of fuzzy reasoning, the triple I method has the unique advantage from the viewpoint of logic, which has laid its international status. However, the triple I method is not perfect at the meaning of fuzzy system, resulting in that the triple I method is faced with its development bottleneck.Focusing on this problem, the basic differently implicational method(previously proposed by us as a generalization of the triple I method) is regarded as the starting point. This paper aims at the properties and relationship of various operators and explores the continuity of basic differently implicational method. It strives to bring a breakthrough for the framework of triple I method, and promote the theoretical establishment and application generalization of fuzzy reasoning and affective computing.