2018
DOI: 10.48550/arxiv.1812.08584
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Answers to some questions about Zadeh's extension on metric spaces

Xinxing Wu,
Xu Zhang,
Guanrong Chen

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 [5, Jardón, Sánchez, and Sanchis, Some questions about Zadeh's extension on metric spaces, Fuzzy Sets and Systems, 2018].

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