基于集对信息粒空间的三支决策模型及应用

Model of three-way decision based on the space of set pair information granule and its application

通过对现有三支决策理论和方法的分析,提出基于集对信息粒空间的三支决策模型,以及从对立统一的集对论观点,对三支决策的内涵和外延加以诠释。首先,分析集对信息粒空间的结构,分为正同粒、负反粒和差异;其次,将集对信息粒按照所设定的阈值划分为3个互不相交的正同域、负反域和差异域,并基于这3个域给出决策损失函数的计算方法,给出决策算法流程;最后在风险投资评估中运用集对信息粒空间上的三支决策方法对风险投资进行评估决策,取得了较好的决策效果。

Through the analysis of the existing theory and method of three-way decision, model of three-way decision based on the space of set pair information granule was proposed, which was to explain the intension and extension of three-way decision on the view of unity of opposites. Firstly the space structure of set pair information granule can be divided into positive granule, negative granule, different granule, which were similar and slightly different with three regions of generalized three-way decision. The three kinds of information granules in set pair information granule space were built based on certain positive degree, negative degree and different degree. Secondly, according to the given threshold, set pair information granule is divided into mutually disjointing positive region, negative region and different region. Based on these three regions, the computing method of decision loss function is put forward, and the process of decision-making algorithm is obtained use the three-way decision method of set pair information granule space to evaluate and make decision on risk investment, then good decision results have been achieved.