一种基于三端点区间数的改进DS/AHP方法

摘要

Nascent DS/AHP method is not fit for group decision with diversity opinions of experts. In order to solve this problem, three-point interval number which can effectively describe group reasoning judge information of professors is introduced. It proposes three-point interval number knowledge matrix. Then it constructs determine model of extracting Basic Probability Assignment(BPA)based on consistency principle of three-point interval number. By using Dempster rule, the steps of revised DS/AHP method can be proposed. It utilizes a numerical simulation example to demonstrate specific oper-ational process of proposed method.%为了解决传统DS/AHP方法不适用于具有多位专家或专家意见富有分歧的群体决策问题，基于能够有效描述专家群组推理判断信息的三端点区间数对传统判断矩阵进行拓展，提出三端点区间数知识矩阵，基于三端点区间数中的一致性原理构建了用于从该矩阵中提取证据信息的基本概率分配函数的确定模型，在此基础上依据Dempster组合规则提出改进DS/AHP方法的操作步骤，应用一个数值模拟实例演示了该方法的具体操作过程。