473 539
Full Length Article
International Journal of Neutrosophic Science
Volume 21 , Issue 1, PP: 08-13 , 2023 | Cite this article as | XML | Html |PDF

Title

Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions

  Sahar M. Jabbar 1 * ,   Ameera N. Alkiffai 2 ,   Azal Mera 3

1  Department of Mathematics, College of Education for Pure Science, University of Babylon, Babil, Iraq
    (pure.saher.mohsen@uobabylon.edu.iq)

2  Department of Mathematics, College of Education for Girls, University of Kufa, Najaf, Iraq
    (ameeran.alkiffai@uokufa.edu.iq)

3  Department of Mathematics, College of Education for Girls, University of Kufa, Najaf, Iraq
    (azal.mera@uobabylon.edu.iq)


Doi   :   https://doi.org/10.54216/IJNS.210101

Received: January 03, 2023 Revised: April 03, 2023 Accepted: May 01, 2023

Abstract :

In this paper, a new fuzzy integral transform is introduced and called “fuzzy Mohand transform” which is based on a mathematical formula of the classical Mohand transform. The fuzzy technique that is well-established from fuzzy Laplace transform, agrees with the neutrosophic logic. In fact, in mathematical field, neutrosophic logic, which is based on the idea of indeterminacy, is introduced as a generalization of fuzzy logic. In Neutrosophic logic, there are three values, grade of membership of Truth values (T), Indeterminate values (I) and False values (F). To demonstrate this mixed technique, a realistic example about heating system is discussed as an illustrative example for solving an ordinary differential equation of first order using fuzzy Mohand transform with neutrosophic numbers as an initial condition.

Keywords :

Fuzzy number; Neutrosophic number; Neutrosophic triangular number; strongly generalized differentiability; Mohand transform.

References :

 

[1] Zadeh, L.A. "Fuzzy sets." Information and Control, 8, no. 3 (1965): 338-353.

[2] Atanassov, K.T. "Intuitionistic fuzzy sets." Fuzzy Sets and Systems, 20, no. 1 (1986): 87-96.

[3] Ejegwa, P.A., Akowe, S.O., Otene, P.M., and Ikyule, J.M. "An Overview on intuitionistic Fuzzy sets." International Journal of Scientific and Technology Research, 3, no. 3 (2014): 142-144.

 [4] Smarandache, F. "Neutrosophic set-A generalization of the intuitionistic Fuzzy set." In Conference:2006 IEEE Int. Con. On Granular Computing, GrC, 2006, Atlanta, Georgia, USA.

 

[5] Wang, H., Smarandache, F., Zhang, Y.Q., and Sunderraman, R. "Single Valued Neutrosophic sets." In Multispace a Multistructure, Vol. 4 (2010): 410-413.

[6] Chakraborty, A.; Mondal,S.P.; Ahmadian, A.; Senu,N.; Alam,S.; Salahshour , S. (2018) "Different forms   of triangular neutrosophic numbers,de-neutrosophication techniques,And their applications", Symmetry, Vol.10, pp.327.

[7]  Abdel-Basset, M.; Gamal,A.; Son,L.H.; Smarandache F. (2020)"A Bipolar neutrosophic Multi criteria decision making framework for professional selection",Applied Sciences, Vol.10, No.4, pp.1202.

[8] Abdel-Basset, M.;Mohamed, R.; Zaied, A.E.N.H.; Gamal, A.; Smarandache,F.(2020) "Solving the supply chain problem using the best –worst method based on a novel Plithogenic model,In Optimization Theory based on neutrosophic and Plithogenic   Sets" Academic Press, pp.1-19.

[9] Saini,R.K.;Sangal,A.;Manisha(2020)"Application of single valued Trapezoidal Neutrosophic numbers in transportation  problem",Neutrosophic Sets and Systems",Vol.35, pp.563-583.

[10]  Awolola,J.(2020)"A Note on the concept of α-level sets of   neutrosophic set", Neutrosophic Sets and Systems,Vol.31, pp.120-126.

[11] Mohand, M.; Mahgoub, A. (2017)"The new integral transformation (Mohand Transform)", Advances in Theoretical and Applied  Mathematics,Vol.12, No.2,pp.113-120.

[12] Alshibley, S.T.; Alkiffai,A.N.; Albukhuttar,A.N.(2021) "Solving a circuit system Using fuzzy Aboodh transform ",Turkish J. of  Comput. And Mathematics Education, Vol.12, No.12, pp.3317-3323.

[13] Dubois, D.; Prade,H. (1978) "Operations on fuzzy numbers", Int. J. Syst.Sci.,Vol.9, No.6, pp.613-626.

[14] Ye,J.(2015)"Trapezoidal neutrosophic set and its application to multiple attribute Decision-making", Neural  Comput.Appl.,Vol.26,pp.1157-1166.

[15] Sahni, M.; Sahni, R.;Verma, R.; Mandaliya,A.; Shah,D.(2019) "Second order Cauchy Euler equation and its application for finding radial displacement of a solid disk Using generalized    trapezoidal intuitionistic fuzzy number", WSEAS Trasnsaction on  Mathematics ,Vol.18, pp.37-45.

[16] Abdel-Basset,M.; Mohamed,R.; Elhoseny, M.(2020) "A model for   the effective COVID-19 identification in uncertainty environment using primary symptoms And CT scans", Health Informatics  Journal,Vol.26,No.4,pp.3088-3105.

[17] Deli, I.; Subas,Y. (2017) "A ranking method of single valued neutrosophic numbers and its applications to multi –attribute  decision making problems", Int. J. Mach Learn Cyber,  Vol.8, pp.1309-1322.

[18] Aal, S.I.A.; Abd Ellatif, M.M.A.; Hassan,  M. M. (2018) "Proposed model for evaluating Information   systems quality based on single  valued triangular neutrosophic Numbers",Int. J. Math. Sci. Comput., Vol. 1, pp.1-14.

[19] Sumathi, I.R.; Sweety, C.A.(2019)" New approach on differential equation via Trapezoidal neutrosophic number", Journal of  Complex and Intelligent Systems , Vol. 5, No.4, pp.417-424.

              


Cite this Article as :
Style #
MLA Sahar M. Jabbar, Ameera N. Alkiffai, Azal Mera. "Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions." International Journal of Neutrosophic Science, Vol. 21, No. 1, 2023 ,PP. 08-13 (Doi   :  https://doi.org/10.54216/IJNS.210101)
APA Sahar M. Jabbar, Ameera N. Alkiffai, Azal Mera. (2023). Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 08-13 (Doi   :  https://doi.org/10.54216/IJNS.210101)
Chicago Sahar M. Jabbar, Ameera N. Alkiffai, Azal Mera. "Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions." Journal of International Journal of Neutrosophic Science, 21 no. 1 (2023): 08-13 (Doi   :  https://doi.org/10.54216/IJNS.210101)
Harvard Sahar M. Jabbar, Ameera N. Alkiffai, Azal Mera. (2023). Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions. Journal of International Journal of Neutrosophic Science, 21 ( 1 ), 08-13 (Doi   :  https://doi.org/10.54216/IJNS.210101)
Vancouver Sahar M. Jabbar, Ameera N. Alkiffai, Azal Mera. Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 1 ): 08-13 (Doi   :  https://doi.org/10.54216/IJNS.210101)
IEEE Sahar M. Jabbar, Ameera N. Alkiffai, Azal Mera, Solving Thermal System Problem Via Fuzzy Mohand Transform under Neutrosophic Initial Conditions, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 1 , (2023) : 08-13 (Doi   :  https://doi.org/10.54216/IJNS.210101)