• Title/Summary/Keyword: Choquet weak convergence

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A note on interval-valued functionals of random sets. (확률집합의 구간치 용적 범함수에 관한 연구)

  • Jang, Lee-Chae;Kim, Tae-Gyun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.131-132
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    • 2008
  • In this paper, we consider interval probability as a unifying concept for uncertainty and Choquet integrals with resect to a capacity functional. By using interval probability, we will define an interval-valued capacity functional and Choquet integrals with respect to an interval-valued capacity functional. Furthermore, we investigate Choquet Choquet weak convergence of interval-valued capacity functionals of random sets.

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Choquet weak convergence for interval-valued capacity functionals of random sets (확률집합의 구간치 용적 범함수에 대한 쇼케이 약 수렴성에 관한 연구)

  • Jang, Lee-Chae;Kim, Tae-Kyun;Kim, Young-Hee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.6
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    • pp.837-841
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    • 2008
  • In this paper, we consider interval probability as a unifying concept for uncertainty and Choquet integrals with resect to a capacity functional. By using interval probability, we will define an interval-valued capacity functional and Choquet integral with respect to an interval-valued capacity functional. Furthermore, we investigate Choquet weak convergence of interval-valued capacity functionals of random sets.