Calculus of fuzzy vector-valued functions and almost periodic fuzzy vector-valued functions on time scales

被引：32
|
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 Kingsville, 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：
FUZZY SETS AND SYSTEMS | 2019年 / 375卷
关键词：
Fuzzy vector-valued functions; Calculus; Time scales; Fuzzy shift almost periodic functions; NEURAL-NETWORKS; EMBEDDING PROBLEM; DIFFERENTIABILITY; EQUATIONS; INTERVAL; DELTA;
D O I：
10.1016/j.fss.2018.12.008
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we establish an embedding theorem for the fuzzy multidimensional space and introduce the new types of multiplications of fuzzy vectors determined by the determinant algorithm. Then some fundamental results of calculus of fuzzy vector-valued functions on time scales are established. Based on these results, we introduce the concept of shift almost periodic fuzzy vector-valued functions and develop a theory of almost periodic fuzzy functions on time scales. This function theory can be used to study almost periodic fuzzy dynamic equations on time scales including a new type of fuzzy dynamic equations called fuzzy q-dynamic equation (i.e., quantum fuzzy dynamic equation). (C) 2018 Elsevier B.V. All rights reserved.
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收藏
页码：1 / 52
页数：52
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