基于毕达哥拉斯犹豫模糊的可靠性分配研究

Research on Reliability Allocation Method Based on Pythagorean Hesitation Fuzzy Set

摘要: 可靠性分配是系统可靠性设计的关键任务之一，其结果直接影响产品的质量和系统的稳定性。针对一般传统可靠性分配方法没有考虑影响因素之间相关关系，以及无法解决机械系统设计阶段模糊区间信息导致分配结果出现偏差等缺陷，提出一种改进的可靠性分配方法。综合考虑多种可靠性分配影响因素，并利用最优最劣法(BWM)确定因素权重，采用毕达哥拉斯犹豫模糊数建立决策矩阵，利用一种可以考虑不同影响因素相关关系的毕达哥拉斯犹豫模糊加权Maclaurin对称几何算子(PHWFMSG)融合评价结果，完成对可靠性分配系数的确定。以数控磨床为例，分别使用FOO法和改进方法进行可靠性分配，对结果进行比较分析，证明了改进方法的有效性。

Abstract: Reliability assignment is one of the key tasks of system reliability design, and its result directly affects the quality of the product and the stability of the system. Aiming at the defects that the general traditional reliability allocation method does not consider the correlation relationship between the influencing factors and cannot solve the defects that the fuzzy interval information in the design stage of the mechanical system leads to the deviation of the allocation results, an improved reliability allocation method is proposed. A variety of reliability allocation influencing factors are considered comprehensively, and the optimal worst method (BWM) is used to determine the factor weights, the Pythagorean hesitation fuzzy number is used to establish the decision matrix, and a Pythagorean hesitation fuzzy weighted Maclaurin symmetric geometric op-erator (PHWFMSG), which can take into account the correlation of the different influencing factors, is utilized to fuse the evaluation results to complete the determination of the reliability allocation coefficients. Taking the CNC grinding machine as an example, the reliability allocation is carried out using the FOO method and the improved method respectively, and the results are compared and analyzed to prove the effectiveness of the improved method.