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Imprecise reliability by evidential networks

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  • C Simon
  • P Weber

Abstract

This article deals with an implementation of probist reliability problems in evidential networks to propagate imprecise probabilities expressed as fuzzy numbers. First, the problem of imprecise knowledge in reliability problems is described concerning system and data representation. Then, the basics of the evidence theory and its use in a directed acyclic graph approach are given. The imprecise probist reliability of a complex system by modelling the component failure probabilities as real, interval, or fuzzy numbers is pointed out. Two numerical studies of systems are carried out. The results are discussed and some comparisons with a Monte-Carlo simulation and a fuzzy fault tree approach are made.

Suggested Citation

  • C Simon & P Weber, 2009. "Imprecise reliability by evidential networks," Journal of Risk and Reliability, , vol. 223(2), pages 119-131, June.
    • Handle: RePEc:sae:risrel:v:223:y:2009:i:2:p:119-131
    DOI: 10.1243/1748006XJRR190
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    References listed on IDEAS

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    1. Simon, C. & Weber, P. & Evsukoff, A., 2008. "Bayesian networks inference algorithm to implement Dempster Shafer theory in reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 950-963.
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    Cited by:

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