515 511
Full Length Article
International Journal of Neutrosophic Science
Volume 20 , Issue 2, PP: 20-26 , 2023 | Cite this article as | XML |PDF

Title

n-Refined Indeterminacy of Some Modules

  M. Abdallah Salih 1 * ,   D. Alawi Jarwan 2 ,   M. Mohammed Abed 3

1  Department of Mathematics, College of Education for Pure Science, University of Tikrit, Tikrit, 34001, Iraq
    (marrwaabdallah1984@tu.edu.iq)

2  Department of Applied Mathematics, College of Science, University Of Anbar, Ramadi, Iraq
    (dunia.alswi@uoanbar.edu.iq)

3  Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq
    (majid_math@uoanbar.edu.iq)


Doi   :   https://doi.org/10.54216/IJNS.200202

Received: July 08, 2022 Accepted: January 01, 2023

Abstract :

This article presents the notion of n-refined neutrosophic modules such as cyclic, simple, and finitely generated modules. n-refined neutrosophic is a generalization of neutrosophic properties. This paper presents new relations among n-refined neutrosophic modules. Finally, several examples and properties have been studied about the relations between these modules.

Keywords :

Simple module; cyclic module; finitely generated module; neutrosophic set; neutrosophic Modul.

References :

[1]  Smarandache, F. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic 

Set, Neutrosophic Probability. American Research Press, Rehoboth, NM, 1999.

[2]  Zadeh, L. A., Fuzzy Sets. Inform. Control 8 (1965).

[3]  Atanassov,  K.,  Intuitionistic  fuzzy  sets.  In  V.  Sgurev,  ed.,  ITKRS  Session,  Sofia,  June  1983, 

Central Sci. and Techn. Library, Bulg.  Academy of Sciences, 1984.

[4]  F. Al-Sharqi, A. Al-Quran, A.  G. Ahmad and S. Broumi, Interval-valued complex neutrosophic 

soft set and its applications in decision-making. Neutrosophic Sets and Systems, 40(1) (2021), 149–168.

[5]  F.  Al-Sharqi,  A.  G.  Ahmad  and  A.  Al-Quran,  Similarity  Measures  on  Interval-Complex 

Neutrosophic Soft Sets with Applications to Decision Making and Medical Diagnosis under Uncertainty. 

Neutrosophic Sets and Systems, 51(1) (2022), 495-515.

[6]  F. Al-Sharqi, A. G.  Ahmad and A. Al-Quran, Interval complex neutrosophic soft relations and 

their application in decision-making. Journal of Intelligent and Fuzzy Systems, 43(1) (2022), 745-771.

[7]  F. Al-Sharqi, A. G. Ahmad and A. Al-Quran, Interval-Valued Neutrosophic Soft Expert Set from 

Real Space to Complex Space. CMES-Computer Modeling in Engineering and Sciences, 132(1) (2022), 

267–293.

[8]  Asaad,  B.  A.,  &  Musa,  S.  Y.  (2022).  Continuity  and  Compactness  via  Hypersoft  Open  Sets. 

International Journal of Neutrosophic Science, 19(2). 

[9]  Al-Obaidi,  A.  H.,  Imran,  Q.  H.,  &  Broumi,  S.  (2022).  On  New  Concepts  of  Weakly 

NeutrosophicContinuous Functions. Journal of Neutrosophic and Fuzzy Systems (JNFS) Vol, 4(01), 08-14.

[10]  Abdulkadhim, M. M., Imran, Q. H., Al-Obaidi, A. H., & Broumi, S. (2022). On Neutrosophic 

Crisp Generalized Alpha Generalized Closed Sets. International Journal of Neutrosophic Science, 19(1), 

107-115.

[11]  Aslam,  M.,  Khan,  N.,  &  Khan,  M.  Z.  (2018).  Monitoring  the  variability  in  the  process  using 

neutrosophic statistical interval method. Symmetry, 10(11), 562. 

[12]  Santos, M. E. G., Sánchez, N. F. F., Remache, J. D. B., & Velázquez, M. R. (2022). Analysis of 

the  Right to Monetary Contribution for Illness through Neutrosophic Statistics. Neutrosophic Sets and 

Systems, 52, 363-370.

[13]  Smarandache,  F.,  &  Ali,  M.  (2018).  Neutrosophic  triplet  group.  Neural  Computing  and 

Applications, 29(7), 595-601.

[14]  Jun,  Y.  B.,  Song,  S.  Z.,  Smarandache,  F.,  &  Bordbar,  H.  (2018).  Neutrosophic  quadruple 

BCK/BCI-algebras. Axioms, 7(2), 41. 

[15]  Abobala, M. (2020). On some neutrosophic algebraic equations. Journal of New Theory, (33), 26-32. 

[16]  M. M. Abed, N. Hassan and F. Al-Sharq, On Neutrosophic Multiplication Module. Neutrosophic 

Sets and Systems, 49(1) (2022), 198–208.

[17]  R.  K.  Al-Hamido,  A  new  neutrosophic  algebraic  structures.  Journal  of  Computational  and 

Cognitive Engineering, p. 5, 2022.

[18]  S.  H.  Zail,  M.  M.  Abed  and  F.  AL-Sharqi,  Neutrosophic  BCK-algebra  and  Ω-BCK-algebra.

International Journal of Neutrosophic Science, vol. 19, no. 3, pp. 08-15, 2022. 

[19]  Abuqamar, M., & Hassan, N. (2022). The Algebraic Structure of Normal Groups Associated with 

Q-Neutrosophic Soft Sets. Neutrosophic Sets and Systems, 48, 328-338. 

[20]  Deli, I., & Broumi, S. (2015). Neutrosophic soft matrices and NSM-decision making. Journal of 

Intelligent & Fuzzy Systems, 28(5), 2233-2241. 

[21]  Abdel-Basset, M., Mohamed, M., & Smarandache, F. (2018). A hybrid neutrosophic group ANPTOPSIS framework for supplier selection problems. Symmetry, 10(6), 226.

[22]    F. Al-Sharqi, A. G. Ahmad and A. Al-Quran, Mapping on interval complex neutrosophic soft sets. 

International Journal of Neutrosophic Science, vol. 19, no. 4, pp. 77-85, 2022.

[23]  Agboola, A. A. A. (2015). On refined neutrosophic algebraic structures. Neutrosophic Sets and 

Systems, 10, 99-101. 

[24]  Abobala,  M.,  &  Lattakia,  S.  (2019).  n-refined  neutrosophic  groups  I.  International  Journal  of 

Neutrosophic Science, Vol. 0, (1), 27-34. 

[25]  Abobala,  M.  (2020).  A  study  of  AH-substructures  in  n-refined  neutrosophic  vector  spaces. 

 

International Journal of Neutrosophic Science, 9, 74-85.


Cite this Article as :
Style #
MLA M. Abdallah Salih , D. Alawi Jarwan, M. Mohammed Abed. "n-Refined Indeterminacy of Some Modules." International Journal of Neutrosophic Science, Vol. 20, No. 2, 2023 ,PP. 20-26 (Doi   :  https://doi.org/10.54216/IJNS.200202)
APA M. Abdallah Salih , D. Alawi Jarwan, M. Mohammed Abed. (2023). n-Refined Indeterminacy of Some Modules. Journal of International Journal of Neutrosophic Science, 20 ( 2 ), 20-26 (Doi   :  https://doi.org/10.54216/IJNS.200202)
Chicago M. Abdallah Salih , D. Alawi Jarwan, M. Mohammed Abed. "n-Refined Indeterminacy of Some Modules." Journal of International Journal of Neutrosophic Science, 20 no. 2 (2023): 20-26 (Doi   :  https://doi.org/10.54216/IJNS.200202)
Harvard M. Abdallah Salih , D. Alawi Jarwan, M. Mohammed Abed. (2023). n-Refined Indeterminacy of Some Modules. Journal of International Journal of Neutrosophic Science, 20 ( 2 ), 20-26 (Doi   :  https://doi.org/10.54216/IJNS.200202)
Vancouver M. Abdallah Salih , D. Alawi Jarwan, M. Mohammed Abed. n-Refined Indeterminacy of Some Modules. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 2 ): 20-26 (Doi   :  https://doi.org/10.54216/IJNS.200202)
IEEE M. Abdallah Salih, D. Alawi Jarwan, M. Mohammed Abed, n-Refined Indeterminacy of Some Modules, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 2 , (2023) : 20-26 (Doi   :  https://doi.org/10.54216/IJNS.200202)