Entropy Treatment of Evolution Algebras
In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of <i>S</i>-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative real <i>S</i>-evolution algebra...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-04-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/5/595 |
| _version_ | 1797500011509972992 |
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| author | Farrukh Mukhamedov Izzat Qaralleh |
| author_facet | Farrukh Mukhamedov Izzat Qaralleh |
| author_sort | Farrukh Mukhamedov |
| collection | DOAJ |
| description | In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of <i>S</i>-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative real <i>S</i>-evolution algebras, and their isomorphism is studied by means of their entropy. Furthermore, the isomorphism of <i>S</i>-evolution algebras is treated using the concept of relative entropy. |
| first_indexed | 2024-03-10T03:55:42Z |
| format | Article |
| id | doaj.art-067caaabfe8e4ff6bcbf28e05232e074 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T03:55:42Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-067caaabfe8e4ff6bcbf28e05232e0742023-11-23T10:54:22ZengMDPI AGEntropy1099-43002022-04-0124559510.3390/e24050595Entropy Treatment of Evolution AlgebrasFarrukh Mukhamedov0Izzat Qaralleh1Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain P.O. Box 15551, United Arab EmiratesDepartment of Mathematical, Faculty of Science, Tafila Technical University, P.O. Box 179, Tafila 66110, JordanIn this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of <i>S</i>-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative real <i>S</i>-evolution algebras, and their isomorphism is studied by means of their entropy. Furthermore, the isomorphism of <i>S</i>-evolution algebras is treated using the concept of relative entropy.https://www.mdpi.com/1099-4300/24/5/595Markov evolution algebraS-evolution algebraisomorphismentropy |
| spellingShingle | Farrukh Mukhamedov Izzat Qaralleh Entropy Treatment of Evolution Algebras Entropy Markov evolution algebra S-evolution algebra isomorphism entropy |
| title | Entropy Treatment of Evolution Algebras |
| title_full | Entropy Treatment of Evolution Algebras |
| title_fullStr | Entropy Treatment of Evolution Algebras |
| title_full_unstemmed | Entropy Treatment of Evolution Algebras |
| title_short | Entropy Treatment of Evolution Algebras |
| title_sort | entropy treatment of evolution algebras |
| topic | Markov evolution algebra S-evolution algebra isomorphism entropy |
| url | https://www.mdpi.com/1099-4300/24/5/595 |
| work_keys_str_mv | AT farrukhmukhamedov entropytreatmentofevolutionalgebras AT izzatqaralleh entropytreatmentofevolutionalgebras |