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Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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Journal of Neutrosophic and Fuzzy Systems

Volume 2 , Issue 1 , PP: 8-13, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

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

Mikail Bal 1 * , Mohammad Abobala 2

  • 1 Gaziantep University, Turkey - ()
  • 2 Tishreen University, Syria - (Mohammadabobala777@gmail.com)

    • Doi: https://doi.org/10.54216/JNFS.020101

    Received July 22, 2021 Accepted: Jan 01, 2022
    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

    Cite This Article As :
    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. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 8-13, 2022. DOI: https://doi.org/10.54216/JNFS.020101

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