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Answers to some questions about Zadeh’s extension principle on metric spaces. (English) Zbl 1452.54009

Summary: 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 [D. Jardón et al., “Some questions about Zadeh’s extension on metric spaces”, ibid. 379, 115–124 (2020; doi:10.1016/j.fss.2018.10.019)].

MSC:

54A40 Fuzzy topology
54E35 Metric spaces, metrizability
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References:

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