Shyi-Ming Chen*

Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei 106, Taiwan, R. O. C.

 

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ABSTRACT

Reliability modeling is the most important discipline of reliable engineering. A new method for analyzing fuzzy system reliability using vague set theory is demonstrated, where the reliabilities of the components of a system are represented by vague sets defined in the universe of discourse [0, 1]. The proposed method can model and analyze the fuzzy system reliability in a more flexible and more intelligent manner.


Keywords: fuzzy system reliability; false-membership function; truth-membership function; vague sets.


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REFERENCES

  1. [1] Atanassov, K. 1986. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20: 87-96.

  2. [2] Cai, K. Y., Wen, C. Y., and Zhang, M. L. 1991. Fuzzy variables as a basis for a theory of fuzzy reliability in possibility context. Fuzzy Sets and Systems, 42: 145-172.

  3. [3] Cai, K. Y., Wen, C. Y., and Zhang, M. L. 1991. Posbist reliability behavior of typical systems with two types of failure. Fuzzy Sets and Systems, 43: 17-32.

  4. [4] Cai, K. Y., Wen, C. Y., and Zhang, M. L. 1991. Fuzzy reliability modeling of gracefully degradable computing systems. Reliability Engineering and System Safety, 33: 141-157.

  5. [5] Cai, K. Y. 1996. System failure engineering and fuzzy methodology: An introductory overview. Fuzzy Sets and Systems, 83: 113-133.

  6. [6] Chen, S. M. 1988. A new approach to handling fuzzy decisionmaking problems. IEEE Transactions on Systems, Man, and Cybernetics, 18: 1012-1016.

  7. [7] Chen, S. M. 1994. Fuzzy system reliability analysis using fuzzy number arithmetic operations. Fuzzy Sets and Systems, 64: 31-38.

  8. [8] Chen, S. M. and Jong, W. T. 1996. Analyzing fuzzy system reliability using interval of confidence. International Jounal of Information Management and Engineering, 2: 16-23.

  9. [9] Chen, S. M. 1996. New methods for subjective mental workload assessment and fuzzy risk analysis. Cybernetics and Systems: An International Journal, 27: 449-472.

  10. [10] Chen, S. M. 1995. Arithmetic operations between vague sets. Proceedings of the International Joint Conference of CFSA/IFIS/SOFT’95 on Fuzzy Theory and Applications, Taipei, Taiwan, Republic of China: 206-211.

  11. [11] Chen, S. M. 1996. New method for fuzzy system reliability analysis. Cybernetics and Systems: An International Journal, 27: 385-401.

  12. [12] Chen, S. M. 1997. Fuzzy system reliability analysis based on vague set theory. Proceedings of the 1997 IEEE International Conference on Systems, Man, and Cybernetics, Orlando, Florida, U. S. A.: 1650-1655.

  13. [13] Chen, S. M. 1997. Similarity measures between vague sets and between elements. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 27: 153-158.

  14. [14] Chen, S. M. and Shiau, Y. S. 1988. Vague reasoning and knowledge representation using extended fuzzy Petri nets. Journal of Information Science and Engineering, 14: 391-408.

  15. [15] Cheng, C. H. and Mon, D. L. 1993. Fuzzy system reliability analysis by interval of confidence. Fuzzy Sets and Systems, 56: 29-35.

  16. [16] Gau, W. L. and. Buehrer, D. J. 1993. Vague sets. IEEE Transactions on Systems, Man, and Cybernetics, 23: 610-614.

  17. [17] Kandel, A. 1986. “Fuzzy Mathematical Techniques with Applications”. Addison-Wesley, Massachusetts, U. S. A.

  18. [18] Kanfmann, A. and Gupla, M. M. 1988. “Fuzzy Mathematical Models in Engineering and Management Science”. North-Holland, Amsterdam.

  19. [19] Mon, D. L. and Cheng, C. H. 1994. Fuzzy system reliability analysis for components with different membership functions. Fuzzy Sets and Systems, 64: 147-157.

  20. [20] Singer, D. 1990. A fuzzy set approach to fault tree and reliability analysis. Fuzzy Sets and Systems, 34: 145-155.

  21. [21] Suresh, P. V., Babar, A. K., and Raj, V. V. 1996. Uncertainty in fault tree analysis: A fuzzy approach. Fuzzy Sets and Systems, 83: 135-141.

  22. [22] Utkin, L. V. and Gurov, S. V. 1996. A general formal approach for fuzzy reliability analysis in the possibility context. Fuzzy Sets and Systems, 83: 203-213.

  23. [23] Zadeh, L. A. 1965. Fuzzy sets. Information and Control, 8: 338-353.

  24. [24] Zimmermann, H. J. 1991. “Fuzzy Set Theory and Its Applications”. Kluwer Academic Publishers, Boston, U. S. A.


ARTICLE INFORMATION



Accepted: 2003-02-26
Available Online: 2003-03-01


Cite this article:

Chen, S.-M.2003. Analyzing fuzzy system reliability using vague set theory, International Journal of Applied Science and Engineering, 1, 82–88. https://doi.org/10.6703/IJASE.2003.1(1).82

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