Volume 20 • Issue 2 • PP: 20-26 • 2023
n-Refined Indeterminacy of Some Modules
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