JOURNAL ARTICLE

Sequential effect algebras dynamical systems: The generalized α-Tsallis's entropy approach and it's invariance.

  • Published In: Asian-European Journal of Mathematics, 2025, v. 18, n. 9. P. 1 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Mishra, Sarvesh Kumar; Shukla, Mukesh Kumar; Singh, Akhilesh Kumar 3 of 3

Abstract

The objective of the this paper is to study the generalized α -Tsallis's entropy on sequential effect algebras (SEA). The generalized α -Tsallis's entropy of the partition in SEA of order R , where R ∈ ℛ + , R ≠ 1 , and its conditional version are investigated with suitable examples. We also examine properties of these entropies. The sub-additive property of Tasallis entropy of has also been achieved. The dynamical system of SEA and its generalized α -Tsallis's entropy for R > 1 , has been defined on SEA and it is achieved that the generalized α -Tsallis's entropy of SEA dynamical system is invariant under the isomorphism. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Asian-European Journal of Mathematics. 2025/09, Vol. 18, Issue 9, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:1793-5571
  • DOI:10.1142/S1793557125500251
  • Accession Number:186751860
  • Copyright Statement:Copyright of Asian-European Journal of Mathematics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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