基于直觉模糊集的三支决策模型

Model of Three-way Decision Theory Based on Intuitionistic Fuzzy Sets

三支决策理论是处理不确定决策问题的重要理论基础,近年来其已成为国内外学者的研究热点。在决策粗糙集、三支决策和直觉模糊集理论的基础上,对基于直觉模糊集的三支决策的模型进行深入研究,提出了三支决策的两描述模型、三描述模型,然后将其拓展为一般模型。该一般模型使用犹豫度重新设计了阈值参数,通过隶属度函数对事件对象进行评估,最后用淮河表层沉积物中有机氯农药污染情况的真实例子来验证该模型的有效性。

Three-way decision theory is an important theoretical underpinning in dealing with uncertain decision problems. In recent years, the study of three-way decision theory has been one of the research hotspots for scholars both at home and abroad. The model of three-way decision theory was studied based on decision theoretic rough sets and intuitionistic fuzzy set theory. The 2-state model and 3-state model were constructed based on intuitionistic fuzzy set theory, and they were extended to the general model. The threshold value was, reset with the hesitancy and the event objects were assessed through the membership functions. Finally, the validity of the method is demonstrated by a case study of organochlorine insecticides contamination in sediments and the physicochemical characteristics of sediments of Huaihe River.