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Chapitre D'ouvrage Année : 2018

Birnbaum’s Importance Measure Extended for Non-coherent Systems

Résumé

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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Dates et versions

hal-03781492 , version 1 (20-09-2022)

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Ayyoub Imakhlaf, Mohamed Sallak. Birnbaum’s Importance Measure Extended for Non-coherent Systems. Belief Functions: Theory and Applications, 11069, Springer International Publishing, pp.112-120, 2018, Lecture Notes in Computer Science, ⟨10.1007/978-3-319-99383-6_15⟩. ⟨hal-03781492⟩
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