Name
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 Frstenberg 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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.ins.2017.02.042 | Inf. Sci. |
Keywords | Field | DocType |
Zadeh’s extension,g-fuzzification,Set-valued dynamical system,Sensitivity,Transitivity | Discrete mathematics,Existential quantification,Fuzzy set,Dynamical systems theory,If and only if,Mathematics,Dynamical system,Transitive relation | Journal |
Volume | Issue | ISSN |
396 | C | 0020-0255 |
Citations | PageRank | References |
8 | 1.27 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xinxing Wu | 1 | 68 | 18.44 |
| Guanrong Chen | 2 | 12378 | 1130.81 |