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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems
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Volume 2 • Issue 1 • PP: 8-13 • 2022

On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups

Mikail Bal 1*
,
Mohammad Abobala 2
mail
1Gaziantep University, Turkey
2Tishreen University, Syria
* Corresponding Author.
DOI https://doi.org/10.54216/JNFS.020101
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received July 22, 2021 Accepted: Jan 01, 2022
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Abstract

In this paper, we show that for a finite game with two players A , B:

Each winning strategy of the first player A can be represented by a neutrosophic subgroup of the neutrosophic group ( , and each winning strategy of the second player B can be represented by an elementary abelian group .

 

Also, we introduce the concept of algebraically relative  games and present some examples on it.

Keywords

Group Neutrosophic group Winning strategy

References

[1]Babinkostova.L , Cosket.S , Kontradyuk.D , Navert.S , Potter.S and Scheepers.M , A study of games over finite groups , publication at www.researchgate.net ,July 2015, Boise State university pp(1-3)

[2] Kandasamy .V and Samarandache ,F , some neutrosophic algebraic structures and neutrosophic N-algebraic structures , Hexis , Phonex , Arizona 2006 , p.p 219

[3] Chalapathi .T and Kumar.K , neutrosophic graphs of finite groups , neutrosophic sets ans systems , vol 15 , (2017)

[4]Dabash.M , Al-Najjar.H and Barbara.H , Create HIM , the adjusted NIM game , and analyses its winning strategy , PH.D thesis , university of Aleppo press , 2013 , pp20-130

[5] Haushi M , Algebraic structures , Tishreen university press , 2004 , p.p 112-140.

[6] Prem Kumar Singh, Three-way n-valued neutrosophic concept lattice at different granulation, International Journal of Machine Learning and Cybernetics, 2018, Vol 9, Issue 11, pp. 1839-1855

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Bal, Mikail, Abobala, Mohammad. "On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 2, no. Issue 1, 2022, pp. 8-13. DOI: https://doi.org/10.54216/JNFS.020101
Bal, M., Abobala, M. (2022). On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of Neutrosophic and Fuzzy Systems, Volume 2(Issue 1), 8-13. DOI: https://doi.org/10.54216/JNFS.020101
Bal, Mikail, Abobala, Mohammad. "On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups." Journal of Neutrosophic and Fuzzy Systems Volume 2, no. Issue 1 (2022): 8-13. DOI: https://doi.org/10.54216/JNFS.020101
Bal, M., Abobala, M. (2022) 'On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups', Journal of Neutrosophic and Fuzzy Systems, Volume 2(Issue 1), pp. 8-13. DOI: https://doi.org/10.54216/JNFS.020101
Bal M, Abobala M. On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of Neutrosophic and Fuzzy Systems. 2022;Volume 2(Issue 1):8-13. DOI: https://doi.org/10.54216/JNFS.020101
M. Bal, M. Abobala, "On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 2, no. Issue 1, pp. 8-13, 2022. DOI: https://doi.org/10.54216/JNFS.020101
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