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- W2589277715 abstract "Abstract In this paper, it is proved that a set-valued dynamical system is sensitively dependent on initial conditions (resp., F -sensitive, multi-sensitive) if and only if its g-fuzzification is sensitively dependent on initial conditions (resp., F -sensitive, multi-sensitive), where F is a Furstenberg family. As an application, it is shown that there exists a sensitive dynamical system whose g-fuzzification does not have such sensitive dependence for any g in a certain domain. Moreover, a sufficient condition is derived for ensuring that the g-fuzzification of every nontrivial dynamical system is not transitive." @default.
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- W2589277715 date "2017-08-01" @default.
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- W2589277715 title "Sensitivity and transitivity of fuzzified dynamical systems" @default.
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- W2589277715 doi "https://doi.org/10.1016/j.ins.2017.02.042" @default.
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