1
Gaziantep University, Turkey
()
2
Tishreen University, Syria
(Mohammadabobala777@gmail.com)
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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MLA | 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) |
APA | Mikail Bal, Mohammad Abobala. (2022). On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of Full Length Article, 2 ( 1 ), 8-13 (Doi : https://doi.org/10.54216/JNFS.020101) |
Chicago | Mikail Bal, Mohammad Abobala. "On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups." Journal of Full Length Article, 2 no. 1 (2022): 8-13 (Doi : https://doi.org/10.54216/JNFS.020101) |
Harvard | Mikail Bal, Mohammad Abobala. (2022). On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of Full Length Article, 2 ( 1 ), 8-13 (Doi : https://doi.org/10.54216/JNFS.020101) |
Vancouver | Mikail Bal, Mohammad Abobala. On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. Journal of Full Length Article, (2022); 2 ( 1 ): 8-13 (Doi : https://doi.org/10.54216/JNFS.020101) |
IEEE | Mikail Bal, Mohammad Abobala, On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups, Journal of Full Length Article, Vol. 2 , No. 1 , (2022) : 8-13 (Doi : https://doi.org/10.54216/JNFS.020101) |