Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2005.01.01
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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.

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References

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  1. The Concepts of Tightness for Fuzzy Set Valued Random Variables vol.9, pp.2, 2009, https://doi.org/10.5391/IJFIS.2009.9.2.147