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THE CHAIN PROPERTIES AND LI-YORKE SENSITIVITY OF ZADEH'S EXTENSION ON THE SPACE OF UPPER SEMI-CONTINUOUS FUZZY SETS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 15، شماره 6، بهمن و اسفند 2018، صفحه 83-95 اصل مقاله (411.29 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.4367 | ||
| نویسندگان | ||
| Xinxing Wu1؛ Lidong Wang* 2؛ Jianhua Liang3 | ||
| 1School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, People's Republic of China | ||
| 2Zhuhai College of Jilin University, Zhuhai, Guangdong, 519041, Peoples Republic of China | ||
| 3School of Mathematical Sciences, Dalian University of Technology, Liaoning, Dalian, 116024, People's Republic of China | ||
| چکیده | ||
| Some characterizations on the chain recurrence, chain transitivity, chain mixing property, shadowing and $h$-shadowing for Zadeh's extension are obtained. Besides, it is proved that a dynamical system is spatiotemporally chaotic provided that the Zadeh's extension is Li-Yorke sensitive. | ||
| کلیدواژهها | ||
| Zadeh's extension؛ Chain recurrence؛ Chain transitivity؛ Shadowing؛ Li-Yorke sensitivity | ||
| مراجع | ||
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