故障搜索的灰色关联度模糊多属性决策方法

Fault Search Method of Fuzzy Multi-attribute Decision-making Based on Grey Relational Degree

针对故障树分析方法在故障搜索中存在的不足,提出一种基于灰色关联度模糊多属性决策的故障搜索方法。利用故障树分析综合考虑最小割集的故障概率和搜索成本,并用灰度来描述这些信息的可信度,计算最小割集跟灰色模糊理想解的灰色关联度,从而得到相对接近度,进而确定故障搜索次序。该方法增加了故障搜索决策结果的客观可信度,提高了故障诊断的快速性和准确性,通过实例验证了方法的有效性。

In order to overcome the disadvantages of FTA （fault tree analysis） in searching for faults, a fault search method is developed by using fuzzy multi-attribute decision-making based on grey relational degree. Using FrA and considering minimal cut sets＇ fault probabilities and search cost simultaneously, credible degree is described as grey degree. And then, the grey relational degree ,of minimal cut sets to grey fuzzy ideal solutions are computed. Secondly, relative closeness degree is achieved. An optimal search order is found. The rapidity and accuracy of fault diagnosis and objective creditability of the result of search decision-making are improved. An example is given to show its feasibility.