The general theory for response analysis of fuzzy stochastic dynamical systems

Fuzzy Sets and Systems

Volumn 83, Issue 3, 1996, Pages 369-405

  Zhang, Yue ^a   Wang, Guangyuan ^b   Su, Fen ^a  

^a TSINGHUA UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Dynamical response; Engineering; Fuzzy random algebraic equation; Fuzzy random differential equation; Fuzzy random excitation; Fuzzy stochastic dynamic system; Fuzzy stochastic process; Measures of information; Probability

Indexed keywords

EID: 0006220804     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-0114(95)00283-9     Document Type: Article

References (16)

1. H. Kwakernaak, Fuzzy random variables I, II, Inform. Sci. 15 (1978) 1-31, 17 (1979) 253-278.
2. H. Kwakernaak, Fuzzy random variables I, II, Inform. Sci. 15 (1978) 1-31, 17 (1979) 253-278.
3. R.E. Moore, Methods and Applications of Interval Analysis (Prentice-Hall, London, 1979).
4. N.C. Nigam, Introduction to Random Vibrations (The MIT Press, Cambridge, MA, London, England, 1983).
5. M.L. Puri and D.A. Ralescu, Fuzzy random variables, J. Math. Anal. Appl. 114 (1986) 409-422.
6. Qiao Zhong and Wang Guangyuan, On solutions and distribution problems of the linear programming with fuzzy random variable coefficients, Fuzzy Sets and Systems 58 (1993) 155-170.
7. Qiao Zhong, Zhang Yue and Wang Guangyuan, On fuzzy random linear programming, Fuzzy Sets and Systems 65 (1994) 31-49.
8. P. Ruiz and J. Penzien, Probabilistic study of behavior of structures during earthquakes, Univ. Calif. Berkeley Earthquake Eng. Res. Cent (1969) 69-3.
9. H. Tajimi, A statistical method of determining the maximum response of a building structure during an earthquake, Proc. 2nd World Conf. Earthquake Eng.; Vol. II (Tokyo and Kyoto, 1960) 781-798.
10. Wang Guangyuan, Two-stage comprehensive evaluation of earthquake intensity and application, Earthquake Eng. Struct. Dyn. 13 (1985) 67-73.
11. Wang Guangyuan and Wang Wenquan, Fuzzy optimum design of aseismic structures, Earthquake Eng. Struct. Dyn. 13 (1985) 827-837.
12. Wang Guangyuan and Wang Wenquan, Fuzzy optimum design of structures, Eng. Optim. 8 (1985) 291-300.
13. Wang Guangyuan and Zhang Yue, The theory of fuzzy stochastic processes, Fuzzy Sets and Systems 51 (1992) 161-178.
14. Wang Guangyuan and Zhang Yue, The Theory of Fuzzy Stochastic Processes (Guizhou Science and Technology Press, Guiyang, 1995).
15. J. Yeh, Stochastic Processes and the Wiener Integral (Marcel Dekker, New York, 1973).
16. Zhang Yue, The theory of fuzzy stochastic processes and fuzzy random vibration, Ph.D. Dissertation, Harbin Architectural and Civil Engineering Institute (1991).