A theory of independent fuzzy probability for system reliability

IEEE Transactions on Fuzzy Systems

Volumn 7, Issue 3, 1999, Pages 286-294

  Dunyak, James ^b   Saad, Ihab W ^c   Wunsch, Donald ^a,c  

^a IEEE

^b TEXAS TECH UNIVERSITY   (United States)

^c Texas Tech University   (United States)

Author keywords

Fuzzy fault trees; Fuzzy probability; Fuzzy sets; Independence

Indexed keywords

ALGORITHMS; FAULT TREE ANALYSIS; PROBABILITY; RELIABILITY;

FUZZY FAULT TREES; FUZZY PROBABILITY; SYSTEM RELIABILITY;

FUZZY SETS;

EID: 0032648476     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/91.771085     Document Type: Article

References (18)

1. H. Tanaka, C. Fan, F. Lai, and K. Toguchi, "Fault tree analysis by fuzzy probability," IEEE Trans. Reliability, vol. R-32, pp. 453-457, Dec. 1983.
2. G. de Cooman, "Possibilistic previsions," in IPMU 7th Int. Conf. Inform. Processing Management of Uncertainty in Knowledge-Based Syst., Paris, France, July 1998.
3. Y. Pan and B. Yuan, "Bayesian inference with fuzzy probabilities," Int. J. Gen. Syst., to be published.
4. P. Walley, Statistical Reasoning with Impercise Probabilities. London, U.K.: Chapman Hall, 1991.
5. P. Walley, "Statistical inferences based on second-order possibility distribution," Int. J. Gen. Syst., vol. 26, 1997.
6. K. Y. Cai, "System failure and fuzzy methodology: An introductory overview," Fuzzy Sets Syst., vol. 83, pp. 113-133, 1996.
7. P. V. Suresh, A. K. Babar, and V. V. Raj, "Uncertainty in fault tree analysis: A fuzzy approach," Fuzzy Sets Syst., vol. 83, pp. 135-141, 1996.
8. D. Singer, "A fuzzy set approach to fault tree and reliability analysis," Fuzzy Sets Syst., vol. 34, pp. 145-155, 1990.
9. H. Furuta and N. Shiraishi, "Fuzzy importance in fault tree analysis," Fuzzy Sets Syst., vol. 12, pp. 205-213, 1984.
10. G. S. Liang and M. J. J. Wang, "Fuzzy fault tree analysis using failure possibility," Micro electron. Reliability, vol. 33, pp. 587-597, 1993.
11. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning III," Inform. Sci., vol. 8, pp. 199-249, 1975.
12. R. Kenarangui, "Event-tree analysis by fuzzy probability," IEEE Trans. Reliability, vol. 40, pp. 120-124, Apr. 1991.
13. D. Singer, "A fuzzy set approach to fault tree and reliability analysis," Fuzzy Sets Syst., vol. 34, pp. 145-155, 1990.
14. D. Weber, "Fuzzy fault tree analysis," in Proc. 3rd IEEE Int. Conf. Fuzzy Syst., Orlando, FL, June 1994, pp. 1899-1904.
15. J. A. Cooper, "Fuzzy-algebra uncertainty analysis of abnormal-environment safety assessment," J. Intell. Fuzzy Syst., vol. 2, no. 4, pp. 337-445, 1994.
16. L. B. Page and J. E. Perry, "Standard deviation as an alternative to fuzziness in fault tree models," IEEE Trans. Reliability, vol. 43, pp. 402-407, Sept. 1994.
17. J. P. Dunyak, I. W. Saad, and D. Wunsch, "Safety analysis of redundant systems using probability theory," in Proc. High Consequence Operations Safety Symp. II, Sandia National Laboratories, Albuequerque, NM, July 1997.
18. I. A. Ushakov, Handbook of Reliability Engineering. New York: Wiley, 1994.