Almost periodic fuzzy multidimensional dynamic systems and applications on time scales

被引：10

作者：

Wang, Chao ^{[1
,2
]}

Agarwal, Ravi P. ^{[2
,3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[3] Florida Inst Technol, Math, 150 West Univ Blvd, Melbourne, FL 32901 USA

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

CHAOS SOLITONS & FRACTALS | 2022年 / 156卷

基金：

中国国家自然科学基金;

关键词：

Fuzzy multidimensional dynamic systems; Almost periodic fuzzy vector-valued functions; Time scales; Hybrid fuzzy dynamic systems; VALUED FUNCTIONS; EMBEDDING PROBLEM; NEURAL-NETWORKS; DIFFERENTIABILITY; DIFFERENCE; EQUATIONS; INTERVAL; DELTA;

D O I：

10.1016/j.chaos.2021.111781

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Moreover, several applications are provided. In particular, a new type of fuzzy dynamic systems called fuzzy q dynamic systems (i.e., fuzzy quantum dynamic systems) is proposed and studied. Our results are not only effective on classical fuzzy dynamic systems including their continuous and discrete situations (i.e., T = Z or R ) but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains like <(qZ)over bar >, +/- N-1/2, U-k=1(+infinity)[2k, 2k + 1] etc. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：29

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