Ranking of System Elements Based on Fuzzy Relation of Influence and Transitive Closure

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• 作者：A. P. Rotshtein
• 关键词：multifunctional system ; uncertainty ; importance of element ; fuzzy relation ; automatic classification
• 刊名：Cybernetics and Systems Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：53
• 期：1
• 页码：57-66
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Systems Theory, Control; Artificial Intelligence (incl. Robotics); Processor Architectures; Software Engineering/Programming and Operating Systems;
• 出版者：Springer US
• ISSN：1573-8337
• 卷排序：53

文摘

The author proposes a method of elements ranking in multi-functional system using the fuzzy relations theory. The problem is formulated as an automatic classification based on the transitive closure of the fuzzy similarity relation. The original information about the system is given as a fuzzy relation of influence of elements’ failures on the performance of system’s functions. To calculate the degrees of element’s influence on the functions performance, we use the comparison of all influences with the least influence by 9-point Saaty scale. The proposed method relaxes the assumption about the independence and the binary-state (up-down) of elements. The possible fields of application are multi-functional systems with ill-defined structures such as organizational, ergatic, military, etc.