深入分析区间概念格的由上下界外延和内涵构成的区间概念特征和层次结构特性,融合基于决策粗糙集的三支决策理论,提出区间三支决策空间概念,通过降低决策损失实现决策的动态调控从而达到决策方案最优。将区间概念外延划分为三个域:正域、负域和边界域,并给出了基于区间概念的三支决策规则、决策度量函数与决策损失函数,分析了区间参数与函数之间的变化关系;定义了区间三支决策概念和由决策动作和决策损失共同构成的决策,并运用区间概念格的建格方法构建了三支决策空间;基于区间三支决策空间建立了动态策略调控模型,实现了对实际问题的动态决策并能有效降低决策失误带来的损失;通过医疗诊断实例证明了模型的正确性与可行性。
After deeply analyzing the properties of hierarchical structure and interval concept which is constituted by upper and lower bound extensions and intension, in order to achieve the optimal decision solutions by reducing the decision and realizing the dynamic regulation, the interval three-way decisions space is put forward, combining with the three-way decisions based on decision-theoretic rough set. Firstly, the positive region, negative region and boundary region are divided by extension of interval concept, and the decision rules, decision metric function and decision loss function of three-way decision based on interval concept are given;secondly, interval three-way decisions concept and the decision which is formed by decision action and decision loss are proposed, and the three-way decision space is built using the construction method of interval concept lattice;thirdly, the dynamic strategy optimizing model based on interval three-way decisions space is established to realize the dynamic decision of practical issues and reduce the loss of incorrect decisions effectively;finally, the example of medical diagnosis shows the correctness and feasibility of this model.