Browse > Article
http://dx.doi.org/10.4134/BKMS.2002.39.3.511

STRONG LAWS OF LARGE NUMBERS FOR RANDOM UPPER-SEMICONTINUOUS FUZZY SETS  

Kim, Yun-Kyong (DEPARTMENT OF COMPUTATIONAL MATHEMATICS, DONGSHIN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.39, no.3, 2002 , pp. 511-526 More about this Journal
Abstract
In this paper, we concern with SLLN for sums Of in-dependent random upper-semicontinuous fuzzy sets. We first give a generalization of SLLN for sums of independent and level-wise identically distributed random fuzzy sets, and establish a SLLN for sums of random fuzzy sets which is independent and compactly uniformly integrable in the strong sense. As a result, a SLLN for sums of independent and strongly tight random fuzzy sets is obtained.
Keywords
random fuzzy sets; strong law of large numbers; compactly uniform integrability; tightness;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 A law of large numbers for random sets /
[ T. Uemura ] / Fuzzy Sets and Systems   DOI   ScienceOn
2 Tightness and strong laws of large numbers in Banach spaces /
[ P. Z. Daffer;R. L. Taylor ] / Bull. Inst. Math. Academia Sinica
3 Convexification in limit laws of random sets in Banach spaces /
[ Z. Artstein;J. C. Hansen ] / Ann. Probab.   DOI   ScienceOn
4 Measurability concepts for fuzzy mappings /
[ D. Butnariu ] / Fuzzy Sets and Systems   DOI   ScienceOn
5 Marcinkiewicz-type law of large numbers for fuzzy random variables /
[ D. H. Hong;H. J. Kim ] / Fuzzy Sets and Systems   DOI   ScienceOn
6 Fuzzy random variables /
[ M. L. Puri;D. A. Ralescu ] / Jour. Math. Anal. Appl.
7 Limit theorems for fuzzy random variables /
[ E. P. Klement;M. L. Puri;D. A. Ralescu ] / Proc. Roy. Soc. Lond. Ser. A   DOI
8 A strong law of large numbers for random compact sets /
[ Z. Artstein;R. A. Vitale ] / Ann. Probab.   DOI   ScienceOn
9 Measurability for fuzzy valued functions /
[ Y. K. Kim ] / Fuzzy Sets and Systems   DOI   ScienceOn
10 Topological properties on the space of fuzzy sets /
[ S. Y. Joo;Y. K. Kim ] / Jour. Math. Anal. Appl.   DOI   ScienceOn
11 /
[ P. Billingsley ] / Convergence of probability measures
12 On strong laws of large numbers for random upper semicontinuous functions /
[ I. S. Molchanov ] / Jour. Math. Anal. Appl.   DOI   ScienceOn
13 Kolmogorov/s strong law of laarge numbers for fuzzy random variables /
[ S. Y. Joo;Y. K. Kim ] / Fuzzy Sets and Systems   DOI   ScienceOn
14 A strong law of large numbers for random sets in Banach spaces /
[ R. L. Taylor;H. Inoue ] / Bull. Inst. Math. Academia Sinica
15 Integration of correspondences /
[ G. Debreu ] / Proc. 5th Berkeley Symp. Math. Statist. Prob.
16 A strong law of large numbers for fuzzy random sets /
[ H. Inoue ] / Fuzzy Sets and Systems   DOI   ScienceOn
17 Convex fuzzy sets /
[ R. Lowen ] / Fuzzy Sets and Systems   DOI   ScienceOn
18 Strong law of large numbers for tight fuzzy random variables /
[ S. Y. Joo ] / Jour. Korean Statist. Soc.   과학기술학회마을