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三支决策和Vague集都可用于边界不确定信息的处理.本文将三支决策理论与Vague集理论相结合,开展一些相关研究.首先,在讨论粗糙集与Vague集关系的基础上,对三支决策粗糙集与Vague集之间的关系进行分析研究;其次,以三支决策的视角,分别用条件概率、阈值对(α,β)以及风险损失函数λ对Vague集中的隶属函数给出新的描述和定义;然后,通过分析这两种集合之间的关系,提出基于Vague集的三支决策划分,用隶属函数结合阈值对定义其三个域,得到对应的三条决策规则;最后,定义Vague集的三支决策隶属函数并研究其相关性质.
All the three decision-making and Vague sets can be used to deal with the boundary uncertain information.This paper combines the three decision-making theories with the Vague Set theory to carry out some related research.Firstly, on the basis of discussing the relationship between rough sets and Vague sets, Then, the membership functions of Vague sets are given new conditional probability, threshold pair (α, β) and risk loss function λ, respectively, from the perspectives of three branches of decision making. Then, by analyzing the relationship between these two sets, this paper puts forward three decision-making divisions based on Vague sets, and defines the three domains by membership function combined with threshold pair, and gets the corresponding three decision rules. Finally, the definition Three Decision Vague Membership Functions of Vague Sets and Their Related Properties.