한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제18권6호
  • /
  • Pages.837-841
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  • 2008
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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확률집합의 구간치 용적 범함수에 대한 쇼케이 약 수렴성에 관한 연구

Choquet weak convergence for interval-valued capacity functionals of random sets

  • 장이채 (건국대학교 컴퓨터응용과학부 전산수학) ;
  • 김태균 (광운대학교 교양학부(수학)) ;
  • 김영희 (광운대학교 교양학부)
  • Jang, Lee-Chae (Dept. of Mathematics and Computer Science, Konkuk University) ;
  • Kim, Tae-Kyun (Division of General Education, Kwangwoon University) ;
  • Kim, Young-Hee (Division of General Education, Kwangwoon University)
  • 발행 : 2008.12.25
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초록

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.

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참고문헌

  1. G. Choquet, Theory of capacities, Ann. Inst. Fourier, Vol.5, pp.131-295, 1953
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  3. L. C. Jang, A note on distance measure and similarity measure defined by Choquet integral on interval-valued fuzzy sets, J. of Fuzzy Logic and Intelligence Systems Vol.17(4), pp.455-459, 2007 https://doi.org/10.5391/JKIIS.2007.17.4.455
  4. L. C. Jang, Interval-valued Choquet integrals and applications in pricing risks, J. of Fuzzy Logic and Intelligence Systems Vol.17(4), pp.451-454, 2007 https://doi.org/10.5391/JKIIS.2007.17.4.451
  5. Kurt Weichselberger, The theory of inter-val-probability as a unifying concept for uncertainty, International J. of Approximation Reasioning Vol.24, pp.149-170, 2000 https://doi.org/10.1016/S0888-613X(00)00032-3