Bayesian system reliability assessment under fuzzy environments

Reliability Engineering and System Safety

Volumn 83, Issue 3, 2004, Pages 277-286

  Wu, Hsien Chung ^a  

^a NATIONAL CHI NAN UNIVERSITY   (Taiwan)

Author keywords

Bayes point estimators; Confidence degree; Fuzzy real numbers; Nonlinear programming; System reliability

Indexed keywords

FUZZY SETS; INTEGRATION; NONLINEAR PROGRAMMING; NUMBER THEORY; PARAMETER ESTIMATION; PROBLEM SOLVING; RANDOM PROCESSES; RELIABILITY; SET THEORY;

BAYES POINT ESTIMATORS; BAYESIAN APPROACHES; CONFIDENCE DEGREE; FUZZY REAL NUMBERS; SYSTEM RELIABILITY;

SYSTEMS SCIENCE;

EID: 0346341087     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2003.09.021     Document Type: Article

References (17)

1. Cho H.N., Choi H.H., Kim Y.B. A risk assessment methodology for incorporating uncertainties using fuzzy concepts. Reliab Engng Syst Saf. 78:2002;173-183.
2. Chou K.C., Yuan J. Fuzzy-Bayesian approach to reliability of existing structures. J Struct Engng. 119:1993;3276-3290.
3. Krätschmer V. A unified approach to fuzzy random variables. Fuzzy Sets Syst. 123:2001;1-9.
4. Kwakernaak H. Fuzzy random variables I: definitions and theorems. Inf Sci. 15:1978;1-29.
5. Martz H.F., Waller R.A. Bayesian reliability analysis. 1982;Wiley, New York.
6. Onisawa T., Kacprzyk J. Reliability and safety analyses under fuzziness. 1995;Physica-Verlag, Heidelberg.
7. Puri M.L., Ralescu D.A. Fuzzy random variables. J Math Anal Appl. 114:1986;409-422.
8. Springer M.D., Thompson W.E. The distribution of products of independent random variables. SIAM J Appl Math. 14:1966;511-526.
9. Taheri S.M., Behboodian J. A Bayesian approach to fuzzy hypotheses testing. Fuzzy Sets Syst. 123:2001;39-48.
10. Wang K.S., Po J., Hsu F.S., Liu C.S. Analysis of equivalent dynamic reliability with repairs under partial information. Reliab Engng Syst Saf. 76:2002;29-42.
11. Wu H.C. Fuzzy reliability analysis based on closed fuzzy numbers. Inf Sci. 103:1997;135-159.
12. Wu H.C. The fuzzy estimators of fuzzy parameters based on fuzzy random variables. Eur J Oper Res. 146:2003;101-114.
13. Xu K., Tang L.C., Xie M., Ho S.L., Zhu M.L. Fuzzy assessment of FMEA for engine systems. Reliab Engng Syst Saf. 75:2002;17-29.
14. Zadeh L.A. Fuzzy sets. Inf Control. 8:1965;338-353.
15. Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning I. Inf Sci. 8:1975;199-249 Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning II. Inf Sci. 8:1975;301-357 Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning III. Inf Sci. 9:1975;43-80.
16. Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning I. Inf Sci. 8:1975;199-249 Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning II. Inf Sci. 8:1975;301-357 Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning III. Inf Sci. 9:1975;43-80.
17. Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning I. Inf Sci. 8:1975;199-249 Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning II. Inf Sci. 8:1975;301-357 Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning III. Inf Sci. 9:1975;43-80.