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

Publish place: Iranian Journal of Fuzzy Systems، Vol: 15، Issue: 6
Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1460345

شناسه ملی سند علمی:

JR_IJFS-15-6_006

تاریخ نمایه سازی: 17 خرداد 1401

Abstract:

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.

Keywords:

Zadeh&#۰۳۹ , s extension , Chain recurrence , Chain transitivity , Shadowing , Li-Yorke sensitivity

Authors

Xinxing Wu

School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, ۶۱۰۵۰۰, People&#۰۳۹;s Republic of China

Lidong Wang

Zhuhai College of Jilin University, Zhuhai, Guangdong, ۵۱۹۰۴۱, Peoples Republic of China

Jianhua Liang

School of Mathematical Sciences, Dalian University of Technology, Liaoning, Dalian, ۱۱۶۰۲۴, People&#۰۳۹;s Republic of China

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