Answers to some questions about Zadeh's extension on metric spaces

Xinxing Wu; Xu Zhang; Guanrong Chen

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arXiv · 1812.08584

Answers to some questions about Zadeh's extension on metric spaces

Xinxing Wu·Xu Zhang·Guanrong Chen

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Abstract

This paper shows that there exists a contraction whose Zadeh's extension is not a contraction under the Skorokhod metric, answering negatively Problems 5.8 and 5.12 posted in [Jardón, Sánchez, and Sanchis, Some questions about Zadeh's extension on metric spaces, Fuzzy Sets and Systems, 2018].

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BibTeX RIS

Xinxing Wu, Xu Zhang, Guanrong Chen. 2018-12-02. Answers to some questions about Zadeh's extension on metric spaces. https://arxiv.org/abs/1812.08584

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