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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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International Journal of Neutrosophic Science
Full Length Article

Volume 24Issue 1PP: 08-13 • 2024

Partner Sets for Generalizations of MultiNeutrosophic Sets

Tuqa A. H. Al-Tamimi 1* ,
Luay A. A. Al-Swidi 1 ,
Ali H. M. Al-Obaidi 1
1Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq
* Corresponding Author.
Received: August 01, 2023 Revised: November 29, 2023 Accepted: March 02, 2024

Abstract

Fuzzy sets and their various generalizations, especially neutrosophic and multineutrosophic sets, have had an essential imprint in other scientific, engineering, and applied fields. This came from the characteristics of membership functions that determine the extent to which members belong to their sets, which is an important criterion. Hence, the idea of building the optimal membership function for fuzzy set using the arithmetic mean, we called this set by partner sets of a neutrosophic set of -type.

Keywords

Fuzzy set Neutrosophic set partner set multineutrosophic set type-2 fuzzy set type-n fuzzy set partner cardinality set partner cardinality topology quasi-coincident sticky set packing set.

References

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[3]  AL-Nafee, A. B. & Broumi, S. & Al-Swidi. L. A., n-Valued Refined Neutrosophic Crisp Sets. International Journal of Neutrosophic Science, 17(2) (2021), 87-95.

[4]  Mendel, J. M. & John, R. I. B., Type-2 fuzzy sets made simple. IEEE Transactions on Fuzzy Systems, 10(2), (2002), 117-127.

[5]  C. John Sundar, A. Vadivel, Somewhat Neutrosopic δ-Continuous Functions in Neutrosophic Topological Spaces. Journal of Neutrosophic and Fuzzy Systems, Vol. 6 , No. 2 , (2023) : 38-48 (Doi   :  https://doi.org/10.54216/JNFS.060204).

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[7]  Q. H. Imran, A. H. M. Al-Obaidi, F. Smarandache and S. Broumi, On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science, vol.18, No.3, 2022, pp.10-20.

[8]  Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3): 338-353.

[9]  Hadi, M. H. and Al-Swidi, L. A.A. (2022). The Neutrosophic Axial Set theory. Neutrosophic Sets and Systems, 51 (1): 295-302. https://digitalrepository.unm.edu/nss_journal/vol51/iss1/18.

[10]   Smarandache, F. (2023). Introduction to the MultiNeutrosophic Set. Neutrosophic Sets and Systems, 61(1):89-99.

[11]   Al-Swidi, L. A.A., Awad, F.S.S.(2018). Analysis on the Soft Banach Point. ICDASE2018, International Conference and Advanced Science and Engineering, 330-335.

[12]   Smarandache, F. (1998). Neutrosophy. Neutrosophic Probability, Set, and Logic. Amer. Res. Press, Rehoboth, USA, 105 p., 1998.

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Al-Tamimi, Tuqa A. H., Al-Swidi, Luay A. A., Al-Obaidi, Ali H. M.. "Partner Sets for Generalizations of MultiNeutrosophic Sets." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 1, 2024, pp. 08-13. DOI: https://doi.org/10.54216/IJNS.240101
Al-Tamimi, T., Al-Swidi, L., Al-Obaidi, A. (2024). Partner Sets for Generalizations of MultiNeutrosophic Sets. International Journal of Neutrosophic Science, Volume 24(Issue 1), 08-13. DOI: https://doi.org/10.54216/IJNS.240101
Al-Tamimi, Tuqa A. H., Al-Swidi, Luay A. A., Al-Obaidi, Ali H. M.. "Partner Sets for Generalizations of MultiNeutrosophic Sets." International Journal of Neutrosophic Science Volume 24, no. Issue 1 (2024): 08-13. DOI: https://doi.org/10.54216/IJNS.240101
Al-Tamimi, T., Al-Swidi, L., Al-Obaidi, A. (2024) 'Partner Sets for Generalizations of MultiNeutrosophic Sets', International Journal of Neutrosophic Science, Volume 24(Issue 1), pp. 08-13. DOI: https://doi.org/10.54216/IJNS.240101
Al-Tamimi T, Al-Swidi L, Al-Obaidi A. Partner Sets for Generalizations of MultiNeutrosophic Sets. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 1):08-13. DOI: https://doi.org/10.54216/IJNS.240101
T. Al-Tamimi, L. Al-Swidi, A. Al-Obaidi, "Partner Sets for Generalizations of MultiNeutrosophic Sets," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 1, pp. 08-13, 2024. DOI: https://doi.org/10.54216/IJNS.240101
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