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Almost periodic fuzzy multidimensional dynamic systems and applications on time scales

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

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.

Suggested Citation

  • Wang, Chao & Agarwal, Ravi P. & O’Regan, Donal, 2022. "Almost periodic fuzzy multidimensional dynamic systems and applications on time scales," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077921011358
    DOI: 10.1016/j.chaos.2021.111781
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    References listed on IDEAS

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    1. Wang, Chao & Agarwal, Ravi P., 2015. "Uniformly rd-piecewise almost periodic functions with applications to the analysis of impulsive Δ-dynamic system on time scales," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 271-292.
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