基于Hausdroff距离的传感器模糊评价

Fuzzy analysis of sensor’s stability based on Hausdroff distance

为有效处理传感器可靠性分析中的不确定性信息,提出了一种模糊风险分析方法。传感系统各部件的失效概率和损失程度都被描述为语言变量,并用三角型模糊数量化语言变量。利用模糊数运算算子获得传感器系统整体的损失程度。提出一种新的基于Hausdroffdistance的相似性测度以确定系统损失所属等级。最后,利用一个算例验证了所提出的模糊分析方法的有效性。

In order to efficiently deal with uncertain information in the analysis of the sensor’s stability,a new fuzzy risk analysis method is proposed.First,the failure of probability and the severity of loss of each component in the sensor system are represented by linguistic variables modeled as triangular fuzzy numbers.Then,the total severity of loss of the sensor system can be obtained as a fuzzy number by the aggregation of the failure of probability and the severity of loss of each component.Finally,a new similarity measure of fuzzy numbers based on the Hausdroff distance is proposed to determine which lever the system’s risk is.A numerical example is used to illustrate the efficiency of the proposed method.