基于α-优势关系的区间值概率粗集模型及应用

Interval-valued probability rough set model based on α-dominance relation and their application

区间值序信息系统是单值序信息系统的一种扩充。首先在区间值序信息系统中引出一种新的定义属性对象xj优于xi的概率Pjai,进而在此基础定义α-优势关系和优势类,从而定义了一种新的基于α-优势关系的概率粗糙集模型,继而通过相对熵赋权得到多属性决策问题的综合评价的最优解,最后对皖江城市带的经济发展的5年数据做定量分析,该实例有效地证明了该方法的合理性和科学性。

The interval-valued order information system is a generalized model of a single-valued order information system. At first, a novel definition is introduced based on the interval-valued order information system by defining pya which shows the probability of attribute object xj superior to object zz, and then α-dominance relation and dominance class are defined. So a novel probability rough set modal based on α-dominance relation is constructed. Furthermore, the optimal solution in multiple attributes making-decision has been obtained through the weights which are given by relative entropy. Finally, quantitative analysis of five years data for economic development issue of the cities along the Yangtze River in Anhui province has been made, and then the effectiveness and rationality of the above method are verified.