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Title: Weak law of large numbers for i.i.d. fuzzy random variables (English)
Author: Hong, Dug Hun
Author: Kim, Kyung Tae
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 43
Issue: 1
Year: 2007
Pages: 87-96
Summary lang: English
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Category: math
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Summary: In this paper, weak laws of large numbers for sum of independent and identically distributed fuzzy random variables are obtained. (English)
Keyword: fuzzy number
Keyword: fuzzy random variable
Keyword: weak law of large numbers
MSC: 60B12
MSC: 60F05
idZBL: Zbl 1139.60013
idMR: MR2343333
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Date available: 2009-09-24T20:21:28Z
Last updated: 2013-09-21
Stable URL: http://hdl.handle.net/10338.dmlcz/135756
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Reference: [1] Chow Y. S., Teicher H.: Probability Theory.Second edition. Springer–Verlag, New York 1998 Zbl 1049.60001
Reference: [2] Goetscheland R., Voxman W.: Elementary fuzzy calculus.Fuzzy Sets and Systems 18 (1986), 31–43 MR 0825618, 10.1016/0165-0114(86)90026-6
Reference: [3] Gut A.: An extension of the Kolmogorov–Feller weak law of large numbers with an application to the St.Petersburg game. J. Theoret. Probab. 17 (2004), 769–779 Zbl 1064.60037, MR 2091561, 10.1023/B:JOTP.0000040299.15416.0c
Reference: [4] Hong D. H., Kim H. J.: Marcinkiewicz-type law of large numbers for fuzzy random variables.Fuzzy Sets and Systems 64 (1994), 387–393 Zbl 0859.60003, MR 1289544, 10.1016/0165-0114(94)90161-9
Reference: [5] Hong D. H.: A convergence of fuzzy random variables.Kybernetika 39 (2003), 275–280 MR 1995730
Reference: [6] Inoue H.: A strong law of large numbers for fuzzy random sets.Fuzzy Sets and Systems 41 (1991), 285–291 Zbl 0737.60003, MR 1111975, 10.1016/0165-0114(91)90132-A
Reference: [7] Joo S. Y., Lee S. S., Yoo Y. H.: A strong law of large numbers for stationary fuzzy random variables.J. Korean Statist. Soc. 30 (2001), 153–161 MR 1892638
Reference: [8] Joo S. Y., Kim Y. K.: Kolmogorov’s strong law of large numbers for fuzzy random variables.Fuzzy Sets and Systems 120 (2001), 499–503 Zbl 0981.60031, MR 1829267
Reference: [9] Joo S. Y.: Week laws of large numbers for fuzzy random variables.Fuzzy Sets and Systems 147 (2004), 453–464 MR 2100837
Reference: [10] Kim Y. K.: A strong law of large numbers for fuzzy random variables.Fuzzy Sets and Systems 111 (2000), 319–323 MR 1748548
Reference: [11] Klement E. P., Puri M. L., Ralescu D. A.: Limit theorems for fuzzy random variables.Proc. Roy. Soc. London Ser. A 407 (1986), 171–182 Zbl 0605.60038, MR 0861082
Reference: [12] Kruse R.: The strong law of large numbers for fuzzy random variables.Inform. Sci. 28 (1982), 233–241 Zbl 0571.60039, MR 0717301, 10.1016/0020-0255(82)90049-4
Reference: [13] Miyakoshi M., Shimbo M.: A strong law of large numbers for fuzzy random variables.Fuzzy Sets and Systems 12 (1984), 133–142 Zbl 0551.60035, MR 0734945, 10.1016/0165-0114(84)90033-2
Reference: [14] Molchanov I.: Strong laws of large numbers for random upper semicontinuous.J. Math. Anal. Appl. 235 (1999), 349–355 Zbl 0959.60003, MR 1758687, 10.1006/jmaa.1999.6403
Reference: [15] Taylor R. L., Seymour, L., Chen Y.: Week laws of large numbers for fuzzy random sets.Nonlinear Anal. 47 (2001), 1245–1256 MR 1970734, 10.1016/S0362-546X(01)00262-0
Reference: [16] Uemura T.: A law of large numbers for random sets.Fuzzy Sets and Systems 59 (1993), 181–188 Zbl 0788.60005, MR 1253840, 10.1016/0165-0114(93)90197-P
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