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The entropy of semi-independent hyper MV-algebra dynamical systems

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Abstract

In this paper, the notion of a semi-independent dynamical system on a hyper MV-algebra is introduced. The concept of the entropy for a semi-independent hyper MV-algebra dynamical system is developed, and its characteristics are considered. The notion of equivalent semi-independent systems is defined, and it is proved the fact that two equivalent semi-independent hyper MV-algebra dynamical systems have the same entropy. Theorems to help calculate the entropy are given. Specifically, a new version of Kolmogorov–Sinai Theorem has been proved.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, 7616914111, Kerman, Iran

    Adel Mehrpooya & Mohammad Ebrahimi

  2. Department of Mathematics, Yazd University, Yazd, Iran

    Bijan Davvaz

Authors
  1. Adel Mehrpooya
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  2. Mohammad Ebrahimi
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  3. Bijan Davvaz
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Corresponding author

Correspondence to Mohammad Ebrahimi.

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The authors declare that they have no conflict of interest.

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Communicated by A. Di Nola.

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Mehrpooya, A., Ebrahimi, M. & Davvaz, B. The entropy of semi-independent hyper MV-algebra dynamical systems. Soft Comput 20, 1263–1276 (2016). https://doi.org/10.1007/s00500-015-1850-y

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  • DOI: https://doi.org/10.1007/s00500-015-1850-y

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