Hybrid reliability modelling under general uncertainty

• Autorzy: Guo R. , Cui Y. , Thiart C. , Guo D.
• Języki publikacji: EN

Abstrakty

EN

The real world phenomena are often facing the co-existence reality of different formality of uncertainty and thus the probabilistic reliability modeling practices are very doubtful. Under complicated uncertainty environments, hybrid variable modeling is important in reliability and risk analysis, which includes Bayesian distributional theory, random fuzzy distributional theory, as well as fuzzy random distributional theory as special distribution families. In this paper, we define a new hybrid lifetime which is specified by a random lifetime distribution with an uncertain distributed parameter, which is called as random uncertain hybrid lifetime. We furthermore define the average chance distribution as a quality index for quantifying the hybrid lifetime and accordingly the average chance reliability is derived.

Słowa kluczowe

EN

uncertain measure; hybrid lifetime; uncertain parameter; average chance reliability

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2010
• Tom: Vol. 1, No. 1
• Strony: 115--122
• Opis fizyczny: Bibliogr. 10 poz., tab., wykr.

Twórcy

autor

Guo R.

• University of Cape Town, Cape Town, South Africa

autor

Cui Y.

• University of Cape Town, Cape Town, South Africa

autor

Thiart C.

• University of Cape Town, Cape Town, South Africa

autor

Guo D.

• South African National Biodiversity Institute, Cape Town, South Africa

Bibliografia

• [1] Carvalho, H. & Machado, V. C. (2006). Fuzzy set theory to establish resilient production systems. Proc. of IIE Annual Conference and Exhibition.
• [2] Cox, D. R. (1972). Regression models and life tables. Journal of Royal Statistical Society, B26, 187-220.
• [3] Guo, R., Zhao, R. Q., Guo, D. & Dunne, T. (2007). Random Fuzzy Variable Modeling on Repairable System. Journal of Uncertain Systems 1, 3, 222-234.
• [4] Kaufmann, A. (1975). Introduction to the theory of fuzzy subsets. Vol.1, Academic Press, New York.
• [5] Liu, B. D. (2007). Uncertainty Theory: An Introduction to Its Axiomatic Foundations. Second Edition. Springer-Verlag Heidelberg, Berlin.
• [6] Liu, B. D. (2009). Some research problems in uncertainty theory. Journal of Uncertain Systems 3, 1, 3-10.
• [7] Liu, B. D. (2010). Uncertainty Theory. Third Edition (Drafted version).
• [8] Liu, Y. K. & Liu, B. (2002). Random Fuzzy Programming with Chance Measures Defined by Fuzzy Integrals. Mathematical and Computer Modelling, 36, 509-524.
• [9] Zadeh, L. A. (1965). Fuzzy sets. Information and Control 8, 338-353.
• [10] Zadeh, L. A. (1978). Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1, 3-28.