Steady-state reliability of repairable systems by combined probability and possibility assumptions

Fuzzy Sets and Systems

Volumn 97, Issue 2, 1998, Pages 193-202

  Utkin, Lev V ^a   Gurov, Sergey V ^a  

^a SAINT PETERSBURG STATE FOREST TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Availability; Functional equation; Fuzzy reliability; Integral equation; Limit theorem; Posbist reliability

Indexed keywords

EID: 16444367342     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(96)00362-4     Document Type: Article

References (13)

1. R.E. Barlow and F. Proschan, Mathematical Theory of Reliability (Wiley, New York, 1965).
2. K.Y. Cai, C.Y. Wen and ML. Zhang, Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context, Fuzzy Sets and Systems 42 (1991) 145-172.
3. K. Y. Cai, C.Y. Wen and M.L. Zhang, A novel approach to software reliability modeling, Microelectron. Reliab. 33 (1993) 2265-2267.
4. K. Y. Cai, C.Y. Wen and M.L. Zhang, Posbist reliability behavior of fault-tolerant systems, Microelectron. Reliab. 35 (1995) 49-56.
5. K. Y. Cai, C.Y. Wen and M.L. Zhang, Reliability behavior of combined hardware-software systems, in: T. Onisawa and J. Kacprzyk, Eds., Reliability and Safety Analyses under Fuzziness (Physica-Verlag, Wurzburg, 1995) 183-195.
6. D. Dubois and H. Prade, Possibility Theory: An Approach to Computerized Processing of Uncertainty (Plenum Press, New York, 1988).
7. S. Nahmias, Fuzzy variable, Fuzzy Sets and Systems 1 (1978) 97-110.
8. T. Onisawa, An application of fuzzy concepts to modelling of reliability analysis, Fuzzy Sets and Systems 37 (1990) 267-286.
9. L.V. Utkin, Fuzzy reliability of repairable systems in the possibility context, Microelectron. Reliab. 34 (1994) 1865-1876.
10. L.V. Utkin and S.V. Gurov, A general formal approach for fuzzy reliability analysis in the possibility context, Fuzzy Sets and Systems, to appear.
11. L.V. Utkin, S.V. Gurov and I.B. Shubinsky, A method to solve fuzzy reliability optimization problem, Microelectron. Reliab. 35 (1995) 171-181.
12. L.A. Zadeh, The concept of a linguistic variable, and its applications to approximate reasoning, Inform. Sci. 8 (1975) 199-249, 301-357; 9 (1975) 43-80.
13. L.A. Zadeh, The concept of a linguistic variable, and its applications to approximate reasoning, Inform. Sci. 8 (1975) 199-249, 301-357; 9 (1975) 43-80.