不确定性多态系统三支决策重要度分析与应用

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关键词：多态系统；重要度分析；不确定性；三支决策粗糙集；动态空间马尔科夫模型；Griffith重要度中图分类号：TB114 文献标志码：A 文章编号：1008-0562（2025）05-0634-07

Analysis and application of three-way decision importance for uncertain polymorphic systems

TONGXiaoyan

（College of Artificial Intelligence and Big Data，Hulunbuir College，Hulunbuir 021oo9，China）

Abstract：The existing importance analysis methods for multi-state systems have problems such as strong model dependence，strong subjectivity and data uncertainty，and mechanical errors.Therefore，a suitable analysis method for uncertain conditions is proposed.This method uses three-way decision rough set theory to quantify component uncertainty，combines dynamic spatial Markov model to calculate state probability distribution interval，and constructsan improved Grifith importance model.To identify weak links in the system，a new distance measurement interval ranking method is introduced to rank the importance results.The results showed thatthis method can effectively reflect the importance ofcomponents to the system under uncertain conditions， enhancing the scientific and rational nature of analysis.The example verification further confirms the practicability and feasibility of the method.The research conclusion can provide reference for reliability assessment， resource allocation，and maintenance decision-making of complex systems.

Keywords： polymorphic system; importance measure analysis; uncertainty;thre-way decision rough set theory; dynamic spaceMarkovmodel;Griffith importance

0引言

系统可靠性工程中，重要度理论是评估各组件对系统整体可靠性贡献的核心方法[]。（剩余13166字）