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

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

5 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)174-180
Journal / PublicationFuzzy Sets and Systems
Volume387
Online published19 Mar 2019
Publication statusPublished - 15 May 2020

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 (2019) [5].

Research Area(s)

  • Contraction, Fuzzy set, Skorokhod metric, Zadeh's extension

Citation Format(s)

Answers to some questions about Zadeh's extension principle on metric spaces. / Wu, Xinxing; Zhang, Xu; Chen, Guanrong.
In: Fuzzy Sets and Systems, Vol. 387, 15.05.2020, p. 174-180.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review