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基于隶属函数及系统状态的联系数构造方法研究

Research on Connection Number Construction Method Based on Membership Function and System State
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摘要 为确定系统在因素变化过程中出现不同状态的比例,提出利用隶属函数构建联系数并表示系统状态及其变化特征的方法。研究了利用隶属函数构造联系数的可行性;建立了单因素影响下系统状态的三元联系数表示方法和不同语义的优势确定规则;研究了建立多因素多语义系统状态联系数的可行性。优势确定规则包括六条,以隶属度为1的两确定状态之间不确定状态隶属函数的变化快慢为基础,确定前后状态对该不确定状态的优势情况,进而决定该不确定状态分项系数的归属。对应六条规则的分项系数归属情况给出了七种联系数构造形式。证明了上述方法对多因素多语义系统状态联系数构建同样有效。以单因素三语义隶属函数为例构建了三元联系数,确定了三语义分项系数,并分析了系统状态随因素变化的稳定性。 To determine the proportion of different system states in the process of factor change,a method of using membership function to construct connection number and express the system state and its change characteristics is proposed.The feasibility of using membership function to construct connection number is studied;the representation method of ternary connection number of system state under the influence of single factor and the advantage determination rules of different semantics are established;the feasibility of establishing the system state connection number of multi factor and multi semantic is studied.The advantage determination rules include six rules.Based on the change speed of the membership function of the uncertain state between the two determined states with membership degree of 1,the advantage of the front and rear states to the uncertain state is determined,and then the attribution of the partial coefficient of the uncertain state is determined.Corresponding to the attribution of partial coefficients of the six rules,seven structure forms of connection numbers are given.It is proved that the above method is also effective for the construction of system state connection number of multi factor and multi semantic.Taking the single factor three semantic membership function as an example,the ternary connection number is constructed,the three semantic partial coefficients are determined,and the stability of the system state with the change of factors is analyzed.
作者 崔铁军 李莎莎 CUI Tie-jun;LI Sha-sha(School of Environmental and Chemical Engineering,Shenyang Ligong University,Shenyang 110159,China;Institute of Safety and Emergency,Shenyang Ligong University,Shenyang 110159,China)
出处 《计算机技术与发展》 2024年第11期73-79,共7页 Computer Technology and Development
基金 国家自然科学基金资助项目(52004120)。
关键词 安全系统学 隶属函数 联系数 系统状态 优势分析 确定性与不确定性 状态真值表 safety system membership function connection number system status advantage analysis certainty and uncertainty state truthtable

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