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Zadeh’s extension and dynamical properties with respect to dp metrics | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 23، شماره 4، مهر و آبان 2026، صفحه 171-182 اصل مقاله (437.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2026.53211.9413 | ||
| نویسندگان | ||
| Kinrha Aguirre De la Luz* 1؛ Daniel Roberto Jardón Arcos2 | ||
| 1Colegio de Ciencia y Tecnología, Universidad Autónoma de la Ciudad de México, CDMX, México. | ||
| 2Colegio de Ciencia y Tecnología, Universidad Autónoma de la Ciudad de México | ||
| چکیده | ||
| For a given metric space (X,d) by F(X) we denote the family of all normal fuzzy sets of X, which are upper semicontinuous and have compact support. In this paper, firstly, we prove that, if X is compact and f:X--> X is a continuous function, then its Zadeh's extension f:F(X)-->F(X)$ is continuous with respect to d_p metric. Then we analyze some properties of Zadeh's extension with respect to d_p metrics including positive Lyapunov stability, strong sensitivity and transitivity. | ||
| کلیدواژهها | ||
| fuzzy sets؛ d_p metrics؛ Zadeh's extension؛ (strong) sensitivity؛ positive Lyapunov stability | ||
| مراجع | ||
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[1] K. Aguirre, I. S´anchez, Some properties of the dp-metrics on fuzzy sets, Topology and Its Applications, 322 (2022), 108323. http://dx.doi.org/10.1016/j.topol.2022.108323 [2] J. Banks, Chaos for induced hyperspace maps, Chaos, Solitons and Fractals, 25(3) (2005), 681-685. https://doi. org/10.1016/j.chaos.2004.11.089 [3] P. Diamond, P. Kloeden, Metric spaces of fuzzy sets, Fuzzy Sets and Systems, 35 (1990), 241-249. https://doi. org/10.1016/0165-0114(90)90197-E [4] J. Guckenheimer, Sensitive dependence to initial conditions for one dimensional maps, Communications in Mathematical Physics, 70 (1979), 133-160. https://doi.org/10.1007/BF01982351
[5] D. Jard´on, I. S´anchez, Expansive properties of induced dynamical systems, Fuzzy Sets and Systems, 425(4) (2020). https://doi.org/10.1016/j.fss.2020.11.023 [6] D. Jard´on, I. S´anchez, Sensitivity and strong sensitivity on induced dynamical systems, Iranian Journal of Fuzzy Systems, 18(4) (2021), 69-78. http://dx.doi.org/10.22111/ijfs.2021.6177 [7] D. Jard´on. I. S´anchez, M. Sanchis, Transitivity in fuzzy hyperspaces, Mathematics, 8(11) (2020), 1862. https: //doi.org/10.3390/math8111862 [8] D. Jard´on, I. S´anchez, M. Sanchis, Some questions about Zadeh’s extesion on metric spaces, Fuzzy Sets and System, 379 (2020), 115-124. https://doi.org/10.1016/j.fss.2018.10.019 [9] W. Johnston, The Lebesgue integral for undergraduates, The Mathematical Association of America, (2015). https: //doi.org/10.1090/text/027 [10] J. Kupka, On fuzzifications of discrete dynamical systems, Information Sciences, 181(13) (2011), 2858-2872. https: //doi.org/10.1016/j.ins.2011.02.024 [11] H. Rom´an-Flores, L. C. Barros, R. C. Bassanezi, A note on Zadeh’s extensions, Fuzzy Set and Systems, 117(3) (2001), 327-331. https://doi.org/10.1016/S0165-0114(98)00408-4 [12] H. Rom´an-Flores, Y. Chalco-Cano, Some chaotic of Zadeh’s extensions, Chaos, Solitons and Fractals, 35(3) (2008), 452-459. https://doi.org/10.1016/j.chaos.2006.05.036 [13] P. Sharma, A. Nagar, Inducing sensitivity on hyperspaces, Topology and Its Applications, 157(13) (2010), 2052- 2058. https://doi.org/10.1016/j.topol.2010.05.002 [14] X. Wu, X. Zhang, G. Chen, Answers to some questions about Zadeh’s extension principle on metric spaces, Fuzzy Sets and Systems, 387 (2020), 174-180. https://doi.org/10.1016/j.fss.2019.03.011 [15] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338-353. https://doi.org/10.1016/ S0019-9958(65)90241-X | ||
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