Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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A note on compact set-valued Choquet integrals

콤팩트 집합치 쇼케이적분에 관한 연구

  • Jang Lee-Chae (Dept. of Mathematics and Computer Science, Konkuk University) ;
  • Kim Hyun-Mee (Dept. of Mathematics, Kyunghee University)
  • Published : 2005.10.01
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Abstract

We note that Jang et al. 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.

퍼지측도와 관련된 폐집합치 쇼케이적분에 대해 장에 의해 연구되어 왔음을 알 수 있다. 본 논문에서는 콤팩트 집합치 함수의 쇼케이적분을 생각하고 이와 관련된 성질들을 조사한다. 특히, 구간치 함수 대신에 콤팩트 집합치 함수를 이용하여 콤팩트 집합치 쇼케이적분의 특성들을 조사한다.

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References

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