Study on unified expression of event occurrence flexible logic based on superposition quantum states

量子态叠加的事件发生柔性逻辑统一表达式研究

School of Environmental and Chemical Engineering, Shenyang Ligong University, Shenyang 110159, China

Received: 12 July 2023

Abstract

To determine the multi logical relationship in the process of cause event leading to result event, a unified expression of flexible logic of event occurrence based on the superposition of multi quantum states is proposed. According to the premise that the logical relationship between any numbers of events can be simplified to the logical relationship between the two events, 20 kinds of flexible logical relationships are studied, and 16 of them are selected to establish the unified expression of flexible logic of event occurrence. By studying those 16 kinds of logical relationships, 8 kinds of logical relationships without obvious correlation are further determined, and finally the unified expression of event occurrence flexible logic of superposition of three quantum states is formed. The result shows that the expression can express 8 kinds of superposition states of logical relationships at the same time, and the different logical forms in the probability of occurrence of result events can be obtained. Finally, the characteristics of the expression and the problems that may be encountered in the process of solving are analyzed. And through the example analysis, the usage process and function of the present method were explained. It can be used to express the logical relationship between the cause event and the result event in the system fault evolution and determine the probability of fault occurrence.

摘要

为了确定原因事件导致结果事件过程中蕴含的多逻辑关系, 提出以多量子态叠加为基础的事件发生柔性逻辑统一表达式。根据任意多事件间逻辑关系可简化为两事件逻辑关系的前提, 研究了20种柔性逻辑关系转化为事件发生逻辑表达式的形式, 选择其中16种建立了四量子态叠加的事件发生柔性逻辑统一表达式。研究这16种逻辑关系, 进一步确定了8种无明显相关性的逻辑关系, 最终形成了三量子态叠加的事件发生柔性逻辑统一表达式。研究表明: 所建表达式能同时表达8种逻辑关系叠加状态, 可得到结果事件发生概率中不同逻辑的构成形式, 分析了所建表达式的特点和求解过程中可能遇到的问题, 并通过实例分析说明了方法的使用过程和作用。研究成果可用于系统故障演化过程中, 原因事件导致结果事件的逻辑关系统一表达及故障发生概率确定。