Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)
- 2003.05a
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- Pages.14-17
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- 2003
On compact convex subsets of fuzzy number space
퍼지 수 공간의 컴팩트 볼륵 집합에 관한 연구
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Kim, Yun-Kyong
(Dept. of Information & Communication Engineering, Dongshin University)
- Published : 2003.05.01
Abstract
By Mazur's theorem, the convex hull of a relatively compact subset a Banach space is also relatively compact. But this is not true any more in the space of fuzzy numbers endowed with the Hausdorff-Skorohod metric. In this paper, we establish a necessary and sufficient condition for which the convex hull of K is also relatively compact when K is a relatively compact subset of the space F(R