Entropy Treatment of Evolution Algebras

Farrukh Mukhamedov; Izzat Qaralleh

doi:10.3390/e24050595

Entropy Treatment of Evolution Algebras

Farrukh Mukhamedov, Izzat Qaralleh

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of S-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative real S-evolution algebras, and their isomorphism is studied by means of their entropy. Furthermore, the isomorphism of S-evolution algebras is treated using the concept of relative entropy.

Original language	English
Article number	595
Journal	Entropy
Volume	24
Issue number	5
DOIs	https://doi.org/10.3390/e24050595
Publication status	Published - May 2022

Keywords

Markov evolution algebra
S-evolution algebra
entropy
isomorphism

ASJC Scopus subject areas

Information Systems
Mathematical Physics
Physics and Astronomy (miscellaneous)
Electrical and Electronic Engineering

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10.3390/e24050595

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title = "Entropy Treatment of Evolution Algebras",

abstract = "In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of S-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative real S-evolution algebras, and their isomorphism is studied by means of their entropy. Furthermore, the isomorphism of S-evolution algebras is treated using the concept of relative entropy.",

keywords = "Markov evolution algebra, S-evolution algebra, entropy, isomorphism",

author = "Farrukh Mukhamedov and Izzat Qaralleh",

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AB - In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of S-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative real S-evolution algebras, and their isomorphism is studied by means of their entropy. Furthermore, the isomorphism of S-evolution algebras is treated using the concept of relative entropy.

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KW - S-evolution algebra

KW - entropy

KW - isomorphism

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Entropy Treatment of Evolution Algebras

Abstract

Keywords

ASJC Scopus subject areas

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