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http://dx.doi.org/10.4134/JKMS.2005.42.1.171

SOME RESULTS ON CONVERGENCE IN DISTRIBUTION FOR FUZZY RANDOM SETS  

JOO SANG YEOL (Department of Statistics Kangwon National University)
CHOI GYEONG SUK (Institute of Basic Science Kangwon National University)
KWON JOONG SUNG (Department of Mathematics Sun Moon University)
KIM YUN KYONG (Department of Information & Communication Engineering Dongshin University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.1, 2005 , pp. 171-189 More about this Journal
Abstract
In this paper, we first establish some characterization of tightness for a sequence of random elements taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in $R^P$. As a result, we give some sufficient conditions for a sequence of fuzzy random sets to converge in distribution.
Keywords
fuzzy random sets; random sets; convergence in distribution; tightness;
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