Browse > Article

TIGHTNESS OF LEVEL-WISE CONTINUOUS FUZZY RANDOM VARIABLES  

Joo, Sang-Yeol (Department of Statistics, Kangwon National University)
Lee, Seung-Soo (Department of Statistics, Kangwon National University)
Yoo, Young-Ho (Department of Statistics, Kangwon National University)
Publication Information
Journal of the Korean Statistical Society / v.32, no.1, 2003 , pp. 73-83 More about this Journal
Abstract
In this paper, we first obtain some characterizations of compact subsets of the space of level-wise continuous fuzzy numbers in R by the modulus of continuity. Using this, we establish the tightness for a sequence of level-wise continuous fuzzy random variables.
Keywords
Fuzzy numbers; fuzzy random variables; tightness;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Limit theorems for fuzzy random variables /
[ Klement, E. P.;Puri, M. L.;Ralescu, D. A. ] / Proceedings of the Royal Society
2 A characterization of compact subsets of fuzzy number space /
[ Ghil, B. M.;Joo, S. Y.;Kim, Y. K. ] / Fuzzy Sets and Systems   ScienceOn
3 Fuzzy random variables /
[ Puri, M. L.;Ralescu, D. A. ] / Journal of Mathematical Analysis and Applications
4 Embedding problem of fuzzy number space:Part II /
[ Congxin, W.;Ming, M. ] / Fuzzy Sets and Systems   ScienceOn
5 Measurability for fuzzy valued functions /
[ Kim, Y. K. ] / Fuzzy Sets and Systems   ScienceOn
6 Weak convergence and tightness for fuzzy random variables /
[ Joo, S. Y. ] / submitted
7 Topological properties on space of fuzzy sets /
[ Joo, S. Y.;Kim, Y. K. ] / Journal of Mathematical Analysis and Applications   ScienceOn
8 Elementary fuzzy calculus /
[ Goetschel, R.;Voxman, W. ] / Fuzzy Sets and Systems   ScienceOn
9 Characterization of compact subsets of fuzzy sets /
[ Diamond, P.;Kloeden, P. ] / Fuzzy Sets and Systems   ScienceOn
10 /
[ Billingsley, P. ] / Convergence of Probability Measures
11 Convergence of random processes and limit theorems in probability theory /
[ Prohorov, Yu. V. ] / Theory of Probability and Its Applications