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  • 标题:Logical entropy of dynamical systems in product MV-algebras and general scheme
  • 本地全文:下载
  • 作者:Dagmar Markechová ; Beloslav Riečan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-17
  • DOI:10.1186/s13662-019-1946-2
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al. (Entropy 20:129, 2018), we define the logical entropy of a dynamical system in the studied algebraic structure. In addition, we introduce a general type of entropy of a product MV-algebra dynamical system that includes the logical entropy and the Kolmogorov–Sinai entropy as special cases. It is proved that the proposed entropy measure is invariant under isomorphism of product MV-algebra dynamical systems.
  • 关键词:Product MV-algebra ; Partition ; Sub-additive generator ; Entropy ; Dynamical system
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