ON THE RELIABILITY OF MULTISTATE SYSTEMS WITH IMPRECISE PROBABILITIES

Authors

  • М. - Wagenknecht University of Applied Sciences Zittau/Goerlitz, IPM, Theodor-Koerner-Allee 16, 02763 Zittau
  • U. - Gocht University of Applied Sciences Zittau/Goerlitz, IPM, Theodor-Koerner-Allee 16, 02763 Zittau

Keywords:

multistate systems, reliability, structure function, Dempster-Shafer approach

Abstract

We consider the computation of multistate systems reliabilities in the presence of random set estimations for the elements' working abilities. It turns out that the Dempster-Shafer approach is a suitable mathematical tool. For the case that the interdependence of the elements is unknown, bounds for the system's performance belief and plausibility functions are given as well.

References

1 Th. Denoeux, Modeling vague beliefs using fuzzy-valued belief structures. Fuzzy Sets and Systems 116 (2000) 167-199.
2 I. Kramosil, Belief functions generated by fuzzy and randomized compatibility rela-tions. Fuzzy Sets and Systems 135 (2003) 341-366.
3 A. Lisnianski, G. Levitin, Multi-State System Reliability. World Scientific, N.J., 2003.
4 H.T. Nguyen, E.A. Walker, A First Course in Fuzzy Logic. Chapman & Hall, Boca Raton, 1999.
5 G. Shafer, A Mathematical Theory of Evidence. Princeton University Press, Prince-ton, 1976.
6 J. Yen, Computing generalized belief functions for continuous fuzzy sets. Int. Jour-nal Appr. Reasoning 6 (1992) 1 31

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Published

18.11.2009

How to Cite

Wagenknecht М. .-., & Gocht, U. .-. (2009). ON THE RELIABILITY OF MULTISTATE SYSTEMS WITH IMPRECISE PROBABILITIES. Oil and Gas Power Engineering, (2(11), 85–87. Retrieved from https://nge.nung.edu.ua/index.php/nge/article/view/224

Issue

No. 2(11) (2009): OIL AND GAS POWER ENGINEERING

Section

SCIENCE AND MODERN TECHNOLOGIES