THE CHAIN PROPERTIES AND LI-YORKE SENSITIVITY OF ZADEH'S EXTENSION ON THE SPACE OF UPPER SEMI-CONTINUOUS FUZZY SETS

نویسندگان
Liang, Jianhua ID 1
Wu, Xinxing ID 2
Wang, Lidong ID 3

1 School of Mathematical Sciences, Dalian University of Technology, Liaoning, Dalian, 116024, People's Republic of China

2 School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, People's Republic of China

3 Zhuhai College of Jilin University, Zhuhai, Guangdong, 519041, Peoples Republic of China

doi
10.22111/ijfs.2018.4367
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 provedthat a dynamical system is spatiotemporally chaotic provided that the Zadeh's extensionis Li-Yorke sensitive.

کلیدواژه‌ها
Zadeh's extension, Chain recurrence, Chain transitivity, Shadowing, Li-Yorke sensitivity