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J. Korean Math. Soc. 2005; 42(1): 171-189
Printed January 1, 2005
Copyright © The Korean Mathematical Society.
Some results on convergence in distribution for fuzzy random sets
Sang Yeol Joo, Gyeong Suk Choi, Joong Sung Kwon, and Yun Kyong Kim
Kangwon National University, Kangwon National University, Sun Moon University, Dongshin University
In this paper, we rst 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 Rp. As a result, we give some sucient conditions for a sequence of fuzzy random sets to converge in distribution.
Keywords: fuzzy random sets, random sets, convergence in distribution, tightness
MSC numbers: 60D05, 60F05
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