Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)
- 2008.04a
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- Pages.131-132
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- 2008
A note on interval-valued functionals of random sets.
확률집합의 구간치 용적 범함수에 관한 연구
- Jang, Lee-Chae (Dept. of Mathematics and Computer Science, Konkuk University) ;
- Kim, Tae-Gyun (Division of General Education, Kwangwoon University)
- Published : 2008.04.25
Abstract
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.
Keywords
- random sets;
- interval probability;
- interval-valued capacity functional;
- Choquet integrals;
- Choquet weak convergence