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Title of article :
On some metrics compatible with the Fell–Matheron topology Original Research Article
Author/Authors :
Yukio Ogura، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Pages :
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Abstract :
Modifying the Hausdorff–Buseman metric, we obtain a compatible metric with the Fell–Matheron topology on the space of closed subsets of a locally compact Hausdorff second countable space. We also give an alternative expression of this metric, and two more compatible metrics, a metric of summation form and a modified Rockafellar–Wets metric. Through the study of the relation between the original Hausdorff–Buseman metric and the Rockafellar–Wets metric, it is also shown that the convergence in the original Hausdorff–Buseman metric in the space of non-empty closed subsets of image is equivalent to the Painlevé–Kuratowski convergence.
Keywords :
Rockafellar–Wets metric , Painlevé–Kuratowski convergence , Hausdorff–Buseman metric , Fell–Matheron topology
Journal title :
International Journal of Approximate Reasoning
Link To Document :