MATHEMATICAL MODEL OF DEPENDABILITY FOR A COMPLEX “FACILITY OF PROTECTION – SAFETY SYSTEM” IN CASE OF FUZZY INITIAL INFORMATION
https://doi.org/10.21683/1729-2646-2014-0-1-99-128
Abstract
About the Author
A. I. PeregudaRussian Federation
Professor, Doctor of Technical Sciences
References
1. Malashinin I.I., Pereguda A.I. Calculation and optimization of systems dependability of emergency protection of nuclear reactors. – М.: Energoatomizdat, 1985 – p. 112.
2. Pereguda A.I., Timashov D.A. Mathematical model of operation process of the automated technological complex “facility of protection – safety system” with recoverable components and the periodic control of a safety system // News of high schools. Nuclear power engineering. – 2007. – #3, edition 2. – pp. 101-109.
3. Pitiev Yu., I. Opportunity as an alternative of probability. Mathematical and empirical fundamentals, application. – М.: Fizmatgiz, 2007 – p. 464.
4. Liu B. Uncertainty Theory. – 2nd edition. – Berlin: Springer-Verlag, 2007. – 255 pp.
5. Liu B. Uncertainty Theory: An Introduction to Its Axiomatic Foundations. – Berlin: Springer-Verlag, 2004. – 411 pp.
6. Kwakernaak H. Fuzzy random variables – I. Definitions and theorems // Information Sciences. – 1978. – Vol. 15 – Pp. 1-29.
7. Hanss M. Applied Fuzzy Arithmetic: An Introduction with Engineering Applications. – SpringerVerlag, 2005. – 256 pp.
8. Buckley J. J. Fuzzy Probability and Statistics. – Springer-Verlag, 2006. – 270 p.
9. Zhao R., Tang W., Yun H. Random fuzzy renewal process // European Journal of Operational Research. – 2006. – Vol. 169. – Pp. 189-201.
10. Shen Q., Zhao R., Tang W. Random fuzzy alternating renewal processes // Soft Computing. – 2008. – Vol. 13, no. 2. – Pp. 139-147.
11. Leonenko A.V. Fuzzy modeling in Matlab and fuzzyTECH. – St. Petersburg: BHV – Petersburg, 2005, p. 736.
12. Baihelt F., Franken P. Dependability and maintenance service. The mathematical approach: Tr. from German – М.: Radio and communication,1988. – p. 392.
Review
For citations:
Pereguda A.I. MATHEMATICAL MODEL OF DEPENDABILITY FOR A COMPLEX “FACILITY OF PROTECTION – SAFETY SYSTEM” IN CASE OF FUZZY INITIAL INFORMATION. Dependability. 2014;(1):99-128. https://doi.org/10.21683/1729-2646-2014-0-1-99-128