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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,9]]},"abstract":"<jats:p>Let [Formula: see text] be a dynamical system, [Formula: see text] be the system on hyperspace and [Formula: see text] be its [Formula: see text]-fuzzification. We study the relations among the various forms of sensitivity of the systems [Formula: see text], [Formula: see text] and [Formula: see text]. Firstly, we give a simpler proof of the theorem in [Wu &amp; Chen, 2017] which states that [Formula: see text] is sensitive if and only if [Formula: see text] is sensitive. Then, we show that (1) all forms of sensitivity of [Formula: see text] are the same for [Formula: see text], (2) all forms of sensitivity of [Formula: see text] partly imply the same for [Formula: see text], and the converse holds in some cases.<\/jats:p>","DOI":"10.1142\/s0218127418501304","type":"journal-article","created":{"date-parts":[[2018,9,24]],"date-time":"2018-09-24T09:20:28Z","timestamp":1537780828000},"page":"1850130","source":"Crossref","is-referenced-by-count":1,"title":["Inducing Sensitivity of Fuzzified Dynamical Systems"],"prefix":"10.1142","volume":"28","author":[{"given":"Yingcui","family":"Zhao","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. 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