References
- Kwakernaak , H. “Fuzzy random variables I, II” , Information Sciences , 15 , 1 – 31 ( 1978 ), 17, 253–273 (1979) .
- Moore , R. E. ( 1979 ). Methods and Applications of Interval Analysis , Prentice-Hall, Inc. , London .
- Nigam , N. C. ( 1983 ). Introduction to Random Vibrations , The MIT Press , Cambridge , Massachusetts , London, England .
- Puri , M.L. and Ralescu , D. A. ( 1986 ). “Fuzzy random variables” , J. Math. Anal. Appl. , 114 , 409 – 422 .
- Qiao Zhong , Zhang Yue and Wang Guangyuan ( 1994 ). “On fuzzy random linear programming” , Fuzzy Sets and Systems , 65 , 31 – 49 .
- Wang Guangyuan ( 1964 ). “The response analysis methods of structures subjected to nonstationary strong earthquake” , Chinese Journal of Civil Engineering , No. 1 , 14 – 22 ( in Chinese ).
- Wang Guangyuan ( 1985 ). “Two-stage comprehensive evaluation of earthquake intensity and application ”, Earthquake Eng. and Struct. Dyn. , 13 , 67 – 73 .
- Wang Guangyuan and Wang Wenquan ( 1985 ). “Fuzzy optimum design of aseismic structures” , Earthquake Eng. and Struct. Dyn. , 13 , 327 – 337 .
- Wang Guangyuan and Wang Wenquan ( 1985 ). “Fuzzy optimum design of structures” , Eng. Opt. , 3 , 291 – 300 .
- Wang Guangyuan and Zhang Yue ( 1992 ). “The theory of fuzzy stochastic processes” , Fuzzy Sets and Systems , 51 , 161 – 173 .
- Wang Guangyuan and Zhang Yue ( 1996 ). The theory of Fuzzy Stochastic Processes , Guizhou Science and Technology Press , Guiyang ( in Chinese ).
- Zhang Yue ( 1991 ). The Theory of Fuzzy Stochastic Processes and Fuzzy Random Vibration, Ph. D. Dissertation , Harbin Architectural and Civil Engineering Institute ( in Chinese ).
- Zhang Yue and Su Fen ( 1992 ). Methods and Applications of Fuzzy Mathematics , Coal Mining Industrial Press , Beijing ( in Chinese ).
- Zhang Yue and Wang Guangyuan ( 1993 ). The Theory of Fuzzy Stochastic Dynamic Systems , Science press , Beijing ( in Chinese ).
- Zhang Yue ( 1992 ). “Fuzzy predicitng earthquake intensity” , Proc. of Intern. Conf Structural Eng. and Computation , Peking Univ. Press , Beijing , 695 – 700 .
- Zhang Yue ( 1989 ). “Fuzzy random variables” , J. of Harbin Architectural and Civil Engineering Institute No. 3 , 12 – 21 ( Chinese ).
- Zhang Yue ( 1989 ). “Fuzzy random vectors” J. of Harbin Architectural and Civil Engineering Institute No. 4 , 27 – 41 ( in Chinese ).
- Zhang Yue , Wang Guangyuan and Su Fen ( 1996 ). “The general theory for response analysis of fuzzy stochastic dynamical systems” , Fuzzy Sets and Systems , 83 , 369 – 405 .
- Zhang Yue , Wang Guangyuan , Su Fen and Qiao Zhong ( 1996 ). “The theory of response analysis of fuzzy stochastic dynamical systems with a single degree of freedom” , Earthquake Eng. and Struct. Dyn. , 25 , 235 – 251 .
- Zhang Yue , Wang Guangyuan , Su Fen and Song Yuhai , “Response analysis of fuzzy stochastic dynamical systems with Multiple degrees of freedom” , Earthquake Eng. and Struct. Dyn. , 26 , 151 – 166 .
- Zhang Yue and Wang Guangyuan ( 1995 ). “Analysis of structural fuzzy random seismic response” , Acta Seismologica , 8 , 271 – 279 .
- Zhang Yue “Theory of response analysis for continuous fuzzy stochastic dynamical systems I. Normal mode method” , Civil. Eng. Syst. , ( to be published in 1997 ).
- Zhang Yue and Wang Guangyuan ( 1995 ). Fuzzy stochastic systems, Systems Engineering Theory and practice , 15 ( 7 ), 19 – 24 ( in Chinese ).
- Zhang Yue and Wang Guangyuan ( 1995 ). Discrete-time fuzzy stochastic systems I, Systems Engineering Theory and practice , 15 ( 9 ), 1 – 5 ( in Chinese ).
- Zhang Yue and Wang Guangyuan ( 1995 ). Discrete-time fuzzy stochastic systems II , Systems Engineering Theroy and practice , 15 ( 10 ), 10 – 12 , 31 ( in Chinese ).
- Zhang Yue and Wang Guangyuan Time domain methods for the solutions of n- order fuzzy differential equations, Fuzzy Sets and Systems ( to be published in 1996 ).
- Zhang Yue , Wang Guangyuan and Liu Sufang Frequency domain methods for the solutions of n-order fuzzy differential equations, Fuzzy Sets and Systems ( to be published in 1996 ).
- Zhang Yue , Wang Guangyuan and Qiao Zhong Solving processes for system of first-order fuzzy differential equations, Fuzzy Sets and Systems ( to be published in 1996 ).
- ∗This research was supported by National Key Projects on Basic Research and Applied Research: Applied Research on Safety and Durability of Major Construction Projects.