摘要
为研究系统功能状态的表达方式,考虑确定和不确定状态的叠加情况,提出系统功能状态表示方法,即系统功能状态表达式。首先基于集对理论,使用二元和三元联系数分别表示确定和不确定状态,及可靠、不确定和失效状态的系统功能状态表达式。进一步考虑在同一论域内设定两功能划分对象,使用两量子状态叠加形式确定系统功能状态表达式。研究表明集对分析可有效的表达上述两种状态划分时的系统功能状态表达式。多量子叠加更适合设定多功能时的系统功能状态表达式确定,但其中的概率幅需要通过二元联系数计算得到。最后通过功能状态置信度计算展示了方法流程及作用。研究为多功能设定且存在确定和不确定状态的系统功能状态表达提供了有效方法。
To study the representation of system function state,considering the superposition of certainty and uncertainty states,a representation method of system function state is proposed,that is,the system function state expression.Firstly,based on the set pair theory,the binary and ternary connection numbers are used to express the system function state expressions of the certainty and uncertainty states,and the reliable,uncertain and failure states respectively.Furthermore,we consider setting two function objects in the same universe,and using the superposition of two quantum states to determine the system function state expression.The results show that set pair analysis can effectively express the system function state expression when the two kinds of state divided are involved.Multi quantum superposition is more suitable to determine the system function state expression when setting multi-function,but the probability amplitude needs to be calculated by the binary connection number.Finally,the process and function of the method are demonstrated through the calculation of reliability certainty.The research provides an effective method for the expression of system function states with multi-function settings and the states of the certainty and uncertainty.
作者
李莎莎
崔铁军
LI Sha-sha;CUI Tie-jun(School of Environmental and Chemical Engineering,Shenyang Ligong University,Shenyang 110159,China)
出处
《模糊系统与数学》
北大核心
2023年第5期82-88,共7页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(52004120)
关键词
安全系统工程
系统功能状态
确定与不确定
集对分析
量子状态叠加
状态表达式
Safety System Engineering
System Function State
Certainty and Uncertainty
Set Pair Analysis
Quantum State Superposition
State Expression
作者简介
李莎莎(1988-),女,辽宁盘锦人,副教授,博士,研究方向:安全系统工程,系统可靠性;崔铁军(1983-),男,辽宁沈阳人,教授,博士生导师,研究方向:系统可靠性,系统故障演化理论。
