Almost periodic fuzzy multidimensional dynamic systems and applications on time scales

Chao Wang, Ravi P. Agarwal and O’Regan, Donal

Chaos, Solitons & Fractals, 2022, vol. 156, issue C

Abstract: 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¯,±N12, ∪k=1+∞[2k,2k+1] etc.

Keywords: Fuzzy multidimensional dynamic systems; Almost periodic fuzzy vector-valued functions; Time scales; Hybrid fuzzy dynamic systems (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077921011358

DOI: 10.1016/j.chaos.2021.111781

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