On compact set-valued Choquet integrals

컴팩트 집합치 쇼케이 적분에 관한 연구

  • Kim Hyun Mee (Dept. of Mathematics, Kyunhee University) ;
  • Jang Lee Chae (Dept. of Mathematics and Computer Science, Konkuk University)
  • Published : 2005.04.01

Abstract

We note that Jang et at. studied closed set-valued Choquet integrals with respect to fuzzy measures. In this paper, we consider Choquet integrals of compact set-valued functions, and prove some properties of them. In particular, using compact set-valued functions, instead of interval valued we investigate characterization of compact set-valued Choquet integrals.

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