基于因果图基本事件矩阵的研究

• 作 者: 梁帆 王洪春
• 机 构: 重庆师范大学数学学院,
• 出 处: 重庆师范大学学报(自然科学版)
• 发表日期: 2015年03期
• 关键词: 事件矩阵 因果图 割集 最终割集 故障诊断 集合运算 规则抽取 事件的补 求一 有向无环图

因果图在故障诊断应用中,一阶割集表达式对于故障诊断无明显优势且对于复杂系统的最终割集和不交化割集的表达式求解不直观。文章引入基本事件矩阵,通过矩阵元素的规则抽取得出最小割集。该方法省略了求一阶割集的步骤,简化集合运算,给出了快速求出最终割集和不交化割集的新方法。最后,应用于实例中所得出的结果符合实际情况。

Cause and Effect Diagram In fault diagnosis applications, the first-order cut sets expression has no obvious advantage for fault diagnosis and is not straightforward to solve the expressions of the final cut sets and the non-intersect cut sets of complex systems. In this paper, the basic event matrix is ​​introduced and the minimum cut set is obtained by rule extraction of matrix elements. The method omits the steps of finding the first order cut sets, simplifies the set operations, and gives a new method to find the final cut sets and the non-intersect cut sets quickly. Finally, the results applied to the examples are realistic.