Volume 20 • Issue 2 • PP: 20-26 • 2023
n-Refined Indeterminacy of Some Modules
Open Access & Copyright
© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF 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
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
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.