一种不完全信息条件下C^4ISR系统效能指标赋权方法

A Method to Weight Determination Under Incomplete Information for C^4ISR Efficiency Evaluation

针对指标赋权中存在的多专家判断信息、不完全信息以及不一致信息等情况,提出一种不完全信息情况下的C4ISR系统效能指标赋权方法。其实施步骤为:首先收集多个专家的经验信息,构建比较判断矩阵,通过不完全参数矩阵描述专家不完全信息;然后以求得总偏差变量最小为目标构建多目标优化模型,通过目标规划方法求解此多目标优化模型,从而得到指标权重值。最后选取某一子指标进行实例计算,求得各指标权重,验证该方法能有效地综合考虑多专家经验信息,充分利用现有数据,有效地消除不一致性,求得最一致的判断结果。

In order to deal with multiple experts＇ judgment information, incomplete information and inconsistent information in C^4ISR system efficiency evaluation, an approach is proposed for obtaining criteria weights under incomplete information environment. The approach is made up of five steps： collecting the multiple experts＇ opinion and constructing judgment matrices; defining incomplete coefficient matrices; constructing multiple objectives optimization model by minimizing the deviation degrees; resolving model using goal programming method; and analyzing result. Finally, a numerical example for sub-criteria weighs determination is studied and shows the advantages that the proposed approach can integrate multiple experts＇ information, avoid inconsistent and obtain most satisfied criteria weights successfully.