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A Study of Neutrosophic Property Functions

Ahmed Salamah 1 * , Malath F. Alaswad 2 , Rasha Dallah 3

  • 1 Departement of Mathematics, port said, Egypt - (drsalama44@gmail.com)
  • 2 Departement of Mathematics, Albaath University, Homs, Syria - (Malaz.Aswad@yahoo.com)
  • 3 Departement of Mathematics, Albaath University, Homs, Syria - (rasha.dallah20@gmail.com)
  • Doi: https://doi.org/10.54216/PAMDA.010101

    Received: August 20, 2022 Accepted: December 08, 2022
    Abstract

    This paper is dedicated to neutrosophic property functions its generalizations, especially neutrosophic Gamma function, neutrosophic Beta function, neutrosophic Zeta function. Also, this work gives the interested reader a background in the study of neutrosophic polynomial orthogonality.

    Keywords :

    Neutrosophic Property Functions , Neutrosophic Gamma Function , Neutrosophic Beta Function , Neutrosophic Zeta Function.  ,

    References

    [1] Abobala, M., "AH-Subspaces in Neutrosophic Vector Spaces", International Journal of Neutrosophic Science,

    Vol. 6 , pp. 80-86. 2020.

    [2] Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International Journal

    of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

    [3] Sankari, H., and Abobala, M., "Neutrosophic Linear Diophantine Equations With two Variables",

    Neutrosophic Sets and Systems, Vol. 38, pp. 22-30, 2020.

    [4] Sankari, H., and Abobala, M." n-Refined Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 36, pp.

    1-11. 2020.

    [5] Alhamido, R., and Abobala, M., "AH-Substructures in Neutrosophic Modules", International Journal of

    Neutrosophic Science, Vol. 7, pp. 79-86 . 2020.

    [6] Smarandache, F., " A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set,

    Neutrosophic Probability", American Research Press. Rehoboth, 2003.

    [7] Suresh, R., and S. Palaniammal,. "Neutrosophic Weakly Generalized open and Closed Sets", Neutrosophic Sets

    and Systems, Vol. 33, pp. 67-77,. 2020.

    [8] Olgun, N., and Hatip, A., "The Effect Of The Neutrosophic Logic On The Decision Making, in Quadruple

    Neutrosophic Theory And Applications", Belgium, EU, Pons Editions Brussels,pp. 238-253. 2020.

    [9] Hatip, A., Alhamido, R., and Abobala, M., "A Contribution to Neutrosophic Groups", International Journal of

    Neutrosophic Science", Vol. 0, pp. 67-76 . 2019.

    [10] Abobala, M., " n-Refined Neutrosophic Groups I", International Journal of Neutrosophic Science, Vol. 0, pp.

    27-34. 2020.

    [11] Abobala, M., "Classical Homomorphisms Between n-refined Neutrosophic Rings", International Journal of

    Neutrosophic Science", Vol. 7, pp. 74-78. 2020.

    [12] Smarandache, F., and Abobala, M., n-Refined neutrosophic Rings, International Journal of Neutrosophic

    Science, Vol. 5 , pp. 83-90, 2020.

    [13] Abobala, M., On Some Special Substructures of Neutrosophic Rings and Their Properties, International

    Journal of Neutrosophic Science", Vol. 4 , pp. 72-81, 2020.

    [14] Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of

    Neutrosophic Science, Vol. 5, pp. 59-66. 2020.

    [15] Sankari, H., and Abobala, M.," AH-Homomorphisms In neutrosophic Rings and Refined Neutrosophic Rings",

    Neutrosophic Sets and Systems, Vol. 38, pp. 101-112, 2020.

    [16] Smarandache, F., and Kandasamy, V.W.B., " Finite Neutrosophic Complex Numbers",·Source: arXiv. 2011.

    [17] Agboola, A.A.A,.Akwu, A.D,. and Oyebo, Y.T., " Neutrosophic Groups and Subgroups", International .J

    .Math. Combin, Vol. 3, pp. 1-9. 2012.

    [18] Smarandache, F., " n-Valued Refined Neutrosophic Logic and Its Applications in Physics", Progress in

    Physics, 143-146, Vol. 4, 2013.

    [19] Adeleke, E.O., Agboola, A.A.A.,and Smarandache, F., "Refined Neutrosophic Rings I", International Journal

    of Neutrosophic Science, Vol. 2(2), pp. 77-81. 2020.

    [20] Hatip, A., and Abobala, M., "AH-Substructures In Strong Refined Neutrosophic Modules", International

    Journal of Neutrosophic Science, Vol. 9, pp. 110-116 . 2020.

    [21] Smarandache F., and Abobala, M., "n-Refined Neutrosophic Vector Spaces", International Journal of

    Neutrosophic Science, Vol. 7, pp. 47-54. 2020.

    [22] Sankari, H., and Abobala, M., "Solving Three Conjectures About Neutrosophic Quadruple Vector Spaces",

    Neutrosophic Sets and Systems, Vol. 38, pp. 70-77. 2020.

    [23] Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings II", International Journal

    of Neutrosophic Science, Vol. 2(2), pp. 89-94. 2020.

    [24] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic

    Equations, Journal Of Mathematics, Hindawi, 2021

    [25] Abobala, M., A Study of Maximal and Minimal Ideals of n-Refined Neutrosophic Rings, Journal of Fuzzy

    Extension and Applications, Vol. 2, pp. 16-22, 2021.

    [26] Abobala, M., " Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic

    Modules and Strong Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 39, 2021.

    [27] Giorgio, N, Mehmood, A., and Broumi, S.," Single Valued neutrosophic Filter", International Journal of

    Neutrosophic Science, Vol. 6, 2020.

    [28] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings",

    Neutrosophic Sets and Systems, Vol. 45, 2021.

    [29] Milles, S, Barakat, M, and Latrech, A., " Completeness and Compactness In Standard Single Valued

    neutrosophic Metric Spaces", International Journal of Neutrosophic Science, Vol.12 , 2021.

    [30] Abobala, M., "On Some Neutrosophic Algebraic Equations", Journal of New Theory, Vol. 33, 2020.

    [31] Abobala, M., On The Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations,

    Journal of Mathematics, Hindawi, 2021.

    [32] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined

    Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

    [33] Kandasamy V, Smarandache F., and Kandasamy I., Special Fuzzy Matrices for Social Scientists . Printed in

    the United States of America,2007, book, 99 pages.

    [34] Khaled, H., and Younus, A., and Mohammad, A., " The Rectangle Neutrosophic Fuzzy Matrices", Faculty of

    Education Journal Vol. 15, 2019. (Arabic version).

    [35] Abobala, M., Partial Foundation of Neutrosophic Number Theory, Neutrosophic Sets and Systems, Vol. 39 ,

    2021.

    [36] F. Smarandache, Neutrosophic Theory and Applications, Le Quy Don Technical University, Faculty of

    Information technology, Hanoi, Vietnam, 17th May 2016.

    [37] Ibrahim, M., and Abobala, M., "An Introduction To Refined Neutrosophic Number Theory", Neutrosophic Sets

    and Systems, Vol. 45, 2021.

    [38] Ibrahim, M.A., Agboola, A.A.A, Badmus, B.S., and Akinleye, S.A., "On refined Neutrosophic Vector Spaces

    II", International Journal of Neutrosophic Science, Vol. 9, pp. 22-36. 2020.

    [39] Abobala, M, "n-Cyclic Refined Neutrosophic Algebraic Systems Of Sub-Indeterminacies, An Application To

    Rings and Modules", International Journal of Neutrosophic Science, Vol. 12, pp. 81-95 . 2020.

    [40] Smarandache, F., "Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets", Inter. J. Pure Appl.

    Math., pp. 287-297. 2005.

    [41] Abobala, M., "On Some Special Elements In Neutrosophic Rings and Refined Neutrosophic Rings", Journal of

    New Theory, vol. 33, 2020.

    [42] Abobala, M., Hatip, A., Olgun, N., Broumi, S., Salama, A,A., and Khaled, E, H., The Algebraic Creativity In

    The Neutrosophic Square Matrices, Neutrosophic Sets and Systems, Vol. 40, pp. 1-11, 2021.

    [43] Aswad, F, M., " A Study of Neutrosophic Complex Number and Applications", Neutrosophic Knowledge,

    Vol. 1, 2020.

    [44] Aswad. F, M., " A Study of neutrosophic Bi Matrix", Neutrosophic Knowledge, Vol. 2, 2021.

    [45] Abobala, M., "Neutrosophic Real Inner Product Spaces", Neutrosophic Sets and Systems, vol. 43, 2021.

    [46] Aswad, M., " A Study of The Integration Of Neutrosophic Thick Function", International journal of

    neutrosophic Science, 2020.

    [47] Abobala, M., "A Study Of Nil Ideals and Kothe's Conjecture In Neutrosophic Rings", International Journal of

    Mathematics and Mathematical Sciences, hindawi, 2021.

    [48] Ali, R, "Neutrosophic Matrices and their Properties", Hal- Archives, 2021.

    [49] Abobala, M., and Hatip, A., "An Algebraic Approach to Neutrosophic Euclidean Geometry", Neutrosophic

    Sets and Systems, Vol. 43, 2021.

    [50] Aswad, M., " A Study Of neutrosophic Differential Equation By using A Neutrosophic Thick Function",

    neutrosophic knowledge, Vol. 1, 2020.

    [51] Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient Conditions

    For The Diagonalization of Refined Neutrosophic Matrices", International Journal of Neutrosophic Science,

    Vol. 16, pp. 72-79, 2021.

    [52] Khaled, H., Smarandache, F., and Essa, A., "A Neutrosophic Binomial Factorial Theorem With Their

    Refrains", Neutrosophic Sets and Systems, Vol. 14, 2016.

    [53] Zeina, M. B., and Hatip, A., "Neutrosophic Random Variables ", Neutrosophic Sets and Systems, Vol. 39 ,

    2021.

    [54] Zeina, M. B., "Erlang Service Queueing Model with Neutrosophic Parameters", International Journal of

    Neutrosophic Science, Vol. 6 ,2020.

    [55] Zeina, M. B., "Neutrosophic Event-Based Queueing Model", International Journal of Neutrosophic Science,

    Vol. 6 , 2020.

    [56] Ali, R., "A Short Note On The Solution of n-Refined Neutrosophic Linear Diophantine Equations",

    International Journal Of Neutrosophic Science, Vol. 15, 2021.

    [57] Hajjari, A., and Ali, R., " A Contribution To Kothe's Conjecture In Refined Neutrosophic Rings", International

    Journal of Neutrosophic Science", Vol. 16, 2021.

    Cite This Article As :
    Salamah, Ahmed. , F., Malath. , Dallah, Rasha. A Study of Neutrosophic Property Functions. Prospects for Applied Mathematics and Data Analysis, vol. , no. , 2023, pp. 08-22. DOI: https://doi.org/10.54216/PAMDA.010101
    Salamah, A. F., M. Dallah, R. (2023). A Study of Neutrosophic Property Functions. Prospects for Applied Mathematics and Data Analysis, (), 08-22. DOI: https://doi.org/10.54216/PAMDA.010101
    Salamah, Ahmed. F., Malath. Dallah, Rasha. A Study of Neutrosophic Property Functions. Prospects for Applied Mathematics and Data Analysis , no. (2023): 08-22. DOI: https://doi.org/10.54216/PAMDA.010101
    Salamah, A. , F., M. , Dallah, R. (2023) . A Study of Neutrosophic Property Functions. Prospects for Applied Mathematics and Data Analysis , () , 08-22 . DOI: https://doi.org/10.54216/PAMDA.010101
    Salamah A. , F. M. , Dallah R. [2023]. A Study of Neutrosophic Property Functions. Prospects for Applied Mathematics and Data Analysis. (): 08-22. DOI: https://doi.org/10.54216/PAMDA.010101
    Salamah, A. F., M. Dallah, R. "A Study of Neutrosophic Property Functions," Prospects for Applied Mathematics and Data Analysis, vol. , no. , pp. 08-22, 2023. DOI: https://doi.org/10.54216/PAMDA.010101