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Some properties of a new metric on the space of fuzzy numbers

✍ Scribed by Dae Sig Kim; Yun Kyong Kim

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 255 KB
Volume: 145
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(03)00281-1

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✦ Synopsis

This paper deals with some properties of a new metric (here called "the Hausdor -Skorokhod metric") previously introduced by Joo and Kim on the space of fuzzy numbers in the Euclidean space R k . We ÿrst prove that convergence in the Hausdor -Skorokhod metric implies convergence in the sendograph metric. Also, we show that the Hausdor -Skorokhod metric is not absolutely homogeneous and not translation invariant, and investigate the continuity of operations and convexity on the space of fuzzy numbers equipped with the Hausdor -Skorokhod metric.

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