STRONG LAW OF LARGE NUMBERS FOR LEVEL-WISE INDEPENDENT FUZZY RANDOM VARIABLES

  • Published : 1997.07.01

Abstract

In this paper, we obtain a strong law of large number for sums of level-wise independent and level-wise identically distributed fuzzy random variables.

Keywords

References

  1. Math. Oper. Res. v.6 Law of large numbers for random sets and allocation processes Z. Artstein;S. Hart
  2. Ann. Probab. v.3 A strong law of large numbers for random compact sets Z. Artstein;R. A. Vitale
  3. Amer. J. Math. v.69 Note on some strong laws of large numbers K. L. Chung
  4. Fuzzy Sets and Systems v.45 Embedding problem of fuzzy number space : part Ⅱ W. Congxin;M. Ming
  5. Ann. Prob. v.7 Laws of large numbers for D[0,1] P. Z. Daffer;R. L. Taylor
  6. Bull. Inst. Math. Academia Sinica v.10 Tightness and strong laws of large numbers in Banach spaces P. Z. Daffer;R. L. Taylor
  7. Fuzzy Sets and Systems v.18 Elementary fuzzy calculus R. Goetschel;W. Voxman
  8. J. Multivariate Anal. v.7 Integrals, conditional expectations and martingales of multi-valued functions F. Hiai;H. Umegaki
  9. Fuzzy Sets and Systems v.64 Marcinkiewicz-type law of large numbers for fuzzy random variables D. H. Hong;H. J. Kim
  10. Fuzzy Sets and Systems v.41 A strong law of large numbers for fuzzy random sets H. Inoue
  11. Fuzzy Sets and Systems v.86 Integrals of fuzzy number valued functions Y. K. Kim;B. M. Ghil
  12. Proc. Roy. Soc. London ser. A v.407 Limit theorems for fuzzy random variables E. P. Klement;M .L. Puri;D. A. Ralescu
  13. Inform. Sci. v.15 Fuzzy random variables : Definition and theorems H. Kwakernaak
  14. Inform. Sci. v.28 The strong law of large numbers for fuzzy random variables R. Kruse
  15. Fuzzy Sets and Systems v.12 A strong law of large numbers for fuzzy random variables M. Miyakoshi;M. Shimbo
  16. Math. Proc. Cambridge Philos. Soc. v.97 Limit theorems for random compact set in Banach space M. L. Puri;D. A. Ralescu
  17. J. Math. Anal. Appl. v.114 Fuzzy random variables M. L. Puri;D. A. Ralescu
  18. Bull. Inst. Math. Academia Sinica v.13 A strong law of large numbers for random sets in Banach spaces R. L. Taylor;H. Inoue
  19. Fuzzy Sets and Systems v.59 A law of large numbers for random sets T. Uemura
  20. J. Math. Anal. Appl. v.184 Fuzzy random variables, expectation and martingales M. Stojakovic