A convergence of fuzzy random variables

  • Hong, Dug-Hun (School of Mechanical and Automotive Engineering, Catholic University of Daegu)
  • Published : 2003.02.28

Abstract

In this paper, a general convergence theorem of fuzzy random variables is considered. Using this result, we can easily prove the recent result of Joo et al. (2001) and generalize the recent result of Kim(2000).

References

  1. Ann. probab. v.13 A strong law of large numbers for random compact sets Artstein, Z.;Vitale, R. A.
  2. Fuzzy Sets and Systems v.18 Elementary fuzzy calculus Goetschel, R.;Voxman, W.
  3. Strong laws of large numbers for multivalued fuzzy random variables, Lecture Notes in Mathematics v.1091 Hiai, F.
  4. Fuzzy Sets Systems v.64 Marcinkiewicz-type law of large numbers for fuzzy random variables Hong, D. H.;Kim, H. J.
  5. Fuzzy Sets and Systems v.41 A strong law of large numbers for fuzzy random sets Inoue, H.
  6. Journal of the Korean Statistical Society v.30 A strong law of large numbers for stationary fuzzy random variables Joo, S. Y.;Lee, S. S.;Yoo, Y. H.
  7. Fuzzy Sets and Systems v.111 The Skorokhod topology on space of fuzzy numbers Joo, S. Y.;Kim, Y. K.
  8. Fuzzy Sets and Systems v.111 A strong law of large numbers for fuzzy random variables Kim, Y. K.
  9. Proc. Roy. Soc. London ser. A v.407 Limit theorems for fuzzy random variables Klement, E. P.;Puri, M. L.;Ralescu, D. A.
  10. Inform. Sci. v.28 The strong law of large numbers for fuzzy random variables Kruse, R.
  11. Fuzzy Sets and Systems v.12 A strong law of large numbers for fuzzy random variables Miyakoshi, M.;Shimbo, M.
  12. J. Math. Anal. Appl. v.235 On strong law of large numbers for fuzzy random upper semi-continuous functions Molchanov, I. S.
  13. Ann. Probab. v.11 Strong law of large numbers for Banach space valued random sets Puri, M. L.;Ralescu, D. A.
  14. Math. Proc. Cambridge Philos. Soc. v.97 Limit theorems for random compact set in Banach space Puri, M. L.;Ralescu, D. A.
  15. J. Math. Anal. Appl. v.114 Fuzzy random variables Puri, M. L.;Ralescu, D. A.
  16. Theor. Probab. Appl. v.8 The law of large numbers for D[0,1]-valued random variables Rao, R. R.
  17. Bull. Inst. Math., Academia Sinica v.13 A strong law of large numbers for random sets in Banach spaces Taylor, R. L.;Inoue, H.
  18. Fuzzy Sets and Systems v.59 A law of large numbers for random sets Uemura, T.