References
- A. Arujo and E. Gine, The central limit theorems for real and Banach valued random variables, New York, John Wiley & Sons, 1980.
- N. Cressie, A central limit theorem for random sets, Z. Wahrsch. Verw. Geb. 49 (1979), 37-47 https://doi.org/10.1007/BF00534339
- G. Debreu, Integration of correspondences, Proc. Fifth Berkley Symp. on Math. Statist. Prob. Vol. 2 (1966), 251-372.
- P. Diamond and P. Kloeden, Metric Spaces of Fuzzy Sets: Theory and Applications, World Scientific, London, 1994.
- E. Gine, M. G. Hahn and J. Zinn, Limit theorems for random sets: an application of probability in Banach space results, Lecture Notes in Mathematics, Vol 990, pp.112-135, Springer-Verlag, Berlin, 1983. https://doi.org/10.1007/BFb0064267
- R. Goetschel and W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems 18 (1986), 31-43. https://doi.org/10.1016/0165-0114(86)90026-6
- M. G. Hahn, Conditions for sample- continuity and the central limit theorem. Ann. Probab. 5 (1977), 351-136. https://doi.org/10.1214/aop/1176995796
- N. C. Jain an M. B. Marcus, Central limit theorem for C(S)-valued random variables, J. Funct. Anal. 19 (1975), 216-231 https://doi.org/10.1016/0022-1236(75)90056-7
- S. Y. Joo and Y. K. Kim, Topological properties on the space of fuzzy sets, J. Math. Anal. Appl. 246 (2000), 576-590. https://doi.org/10.1006/jmaa.2000.6820
- S. Y. Joo, Y. K. Kim. J. S. Kwon and G. S. Choi, Convergence in distribution for level-continuous fuzzy random sets, Fuzzy Sets and Systems, in press
- Y. K. Kim, Measurability for fuzzy valued functions, Fuzzy Sets and Systems 129 (2002), 105-109 https://doi.org/10.1016/S0165-0114(01)00121-X
- E. P. Klement, M. L. Puri and D. A. Ralescu, Limit theorems for fuzzy random variables, Proc. Roy. Soc. London Ser. A 407 (1986), 171-182 https://doi.org/10.1098/rspa.1986.0091
- V. Kratschmer. Limit theorems for fuzzy random variables, Fuzzy Sets and Systems 126 (2002), 253-263 https://doi.org/10.1016/S0165-0114(00)00100-7
- R. Lowen, Convex fuzzy sets, Fuzzy Sets and Systems 3 (1980), 291-310 https://doi.org/10.1016/0165-0114(80)90025-1
- M. L. Puri and D. A. Ralescu, Fuzzy random variables, J. Math. Anal. Appl. 114 (1986), 402-422
- H. Roman-Flores and M. Rojas-Medar, Embedding of level-continuous fuzzy sets on Banach spaces, Inform. Sci. 144 (2002), 227-247 https://doi.org/10.1016/S0020-0255(02)00182-2
- W. Weil, An application of the central limit theorem for Banach space-valued random variables to the theory of random sets, Z. Wahrsch. Verw. Geb. 60 (1982), 203-208 https://doi.org/10.1007/BF00531823
- H. C. Wu, The central limit theorems for fuzzy random variables, Inform. Sci. 120 (1999), 239-256 https://doi.org/10.1016/S0020-0255(99)00063-8
Cited by
- Sensitivity Analysis of Weather Variables on Offsite Consequence Analysis Tools in South Korea and the United States vol.15, pp.5, 2018, https://doi.org/10.3390/ijerph15051027