Abstract
We introduce an extended Birnbaum component importance measure considering epistemic and aleatory uncertainty adapted to non-coherent systems. The belief function theory is proposed as a framework for taking into account both types of uncertainty. The objective is to rank components according to their importance in system working. This importance measure was introduced for coherent systems; however, the increasing complexity of modern systems introduces the case of non-coherent systems. This is why we should consider these kinds of systems. In this work, we propose a method to compute the importance measure of the components of non-coherent systems in the framework of belief functions theory.
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Imakhlaf, A., Sallak, M. (2018). Birnbaum’s Importance Measure Extended for Non-coherent Systems. In: Destercke, S., Denoeux, T., Cuzzolin, F., Martin, A. (eds) Belief Functions: Theory and Applications. BELIEF 2018. Lecture Notes in Computer Science(), vol 11069. Springer, Cham. https://doi.org/10.1007/978-3-319-99383-6_15
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DOI: https://doi.org/10.1007/978-3-319-99383-6_15
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