Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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2771-6449ISSN (Online) 2771-6430ISSN (Print)
Full Length Article

Journal of Neutrosophic and Fuzzy Systems

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

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 :
    Mikail Bal, Mohammad Abobala. "On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups." Full Length Article, Vol. 2, No. 1, 2022 ,PP. 8-13 (Doi   :  https://doi.org/10.54216/JNFS.020101)
    Mikail Bal, Mohammad Abobala. (2022). On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of , 2 ( 1 ), 8-13 (Doi   :  https://doi.org/10.54216/JNFS.020101)
    Mikail Bal, Mohammad Abobala. "On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups." Journal of , 2 no. 1 (2022): 8-13 (Doi   :  https://doi.org/10.54216/JNFS.020101)
    Mikail Bal, Mohammad Abobala. (2022). On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of , 2 ( 1 ), 8-13 (Doi   :  https://doi.org/10.54216/JNFS.020101)
    Mikail Bal, Mohammad Abobala. On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of , (2022); 2 ( 1 ): 8-13 (Doi   :  https://doi.org/10.54216/JNFS.020101)
    Mikail Bal, Mohammad Abobala, On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups, Journal of , Vol. 2 , No. 1 , (2022) : 8-13 (Doi   :  https://doi.org/10.54216/JNFS.020101)