基于距离测度的D-S证据融合决策方法

针对多源信息融合结果并依据D-S证据结构进行决策的问题，提出一种基于距离测度的D—S证据决策方法．该方法结合决策基元和非决策基元的属性进行决策，将依据D—S证据的决策问题分解成两个层面：属性层面、证据层面．属性层面上，给出候选决策从证据焦元获得支持度的方法；证据层面上，基于辨识框架幂集的元素，构造一个证据焦元向量空间，引入候选决策的理想状态向量，定义距离测度，构建决策模型．最后，对多源水质监测信息融合结果进行决策分析，结果表明该方法是合理、有效的，且具有处理冲突或非冲突证据的优点．

A Decision-Making Method on D-S Evidence Fusion Information Based on Distance Measure

To solve the decision-making problem based on results of multi-source information fusion and D-S evidence structure, a decision-making method based on distance measure is proposed. The method combines attributes of decision-making basic elements with that of decision-making non-basic elements to make a decision about the results, and divides the problem on D-S evidence into two levels, that is, attribute level and evidence level. On the attribute level, a method for obtaining support degrees of candidate decision-making focal elements from evidence focal elements is introduced. On the evidence level, a space based on power set elements of the discernment frame is generated, ideal state vectors of candidate decision-making focal elements are introduced, distance measure is defined, and a decision-making model based on the measure is made. Finally, the fusion results of multi-source information about water quality monitoring data are analyzed based on different methods. The result indicates that the decision-making method based on distance measure is valid and has advantages of processing conflict evidence or non-conflict evidence.