Importance Index of Components in Uncertain Reliability Systems

*Correspondence: [email protected] 2School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, China Full list of author information is available at the end of the article Abstract Importance measure is an index for estimating the importance of an individual component or a group of components in a reliability system. So far, the importance measures for components in stochastic reliability systems have been investigated. In order to calculate the importance of a component or a group of components in an uncertain reliability system, this paper proposes a new concept of importance index. Some formulas are given to calculate the importance index of a component and a group of components in an uncertain reliability system. Then, some special types of uncertain reliability systems such as uncertain series, parallel, parallel-series, series-parallel, bridge, and k-out-of-n systems are studied.