Profust Reliability Theory
Probability assumption: the system failure behavior is fully characterized in the context of probability measures.
Fuzzy-state assumption: the system success and failure are characterized by fuzzy states. At any time the system can be viewed as being in one of the two fuzzy states to some extent. That is, the meaning of system failure is not defined in a precise way, but in a fuzzy way.
KeywordsMixture Model System Reliability Reliability Theory Coherent System Lifetime Distribution
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- 2.R.E. Barlow, F. Proschan, Statistical Theory of Reliability and Life Testing: Probability Models, Holt, Rinbart and Winston, USA, 1975.Google Scholar
- 4.B.R. Bhat, Modern Probability Theory, Springer-Verlag, 1984.Google Scholar
- 6.K.Y. Cai, C.Y. Wen, Z.J. Chen, “A Preliminary Analysis of CIMS Reliability with Fuzzy Viewpoint”, Proc. Beijing International Conference on System Simulation and Scientific Computing, 1989, pp771–775.Google Scholar
- 8.K.Y. Cai, C.Y. Wen, M.L. Zhang, “Coherent Systems in Profust Reliability Theory”, in: T. Onisawa, J. Kacprzyk (eds), Reliability and Safety Analyses under Fuzziness, Physica-Verlag, 1995, pp81–94.Google Scholar
- 10.S. Dharmadhikar, K. Joag-dev, Unimodality, Convexity, and Applications, Academic Press, 1988.Google Scholar
- 15.Z.K. Wang, Fundamentals of Probability Theory and Their Applications, Science Press, (in Chinese), 1979.Google Scholar