1
Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq
(tuqa.hasan.pure442@student.uobabylon.edu.iq)
2
Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq
(pure.leal.abd@uobabylon.edu.iq)
3
Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq
(aalobaidi@uobabylon.edu.iq)
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 :
[1] Salama, A. A. & Alblowi, S. A., Neutrosophic Set and Neutrosophic Topological Spaces. IOSR Journal of Mathematics (IOSR-JM), 4(3) (2012), 31-35.
[2] Salama, A. A. & Smarandache, F., Neutrosophic Crisp Set Theory. Columbus, OH, USA: Educational Publishers, (2015).
[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).
[6] P. Arulpandy, Bipolar neutrosophic soft continuity mappings. Journal of Neutrosophic and Fuzzy Systems, Vol. 6 , No. 1 , (2023) : 29-38 (Doi : https://doi.org/10.54216/JNFS.060104)
[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.
| Style | # |
|---|---|
| MLA | Tuqa A. H. Al-Tamimi, Luay A. A. Al-Swidi , Ali H. M. Al-Obaidi. "Partner Sets for Generalizations of MultiNeutrosophic Sets." International Journal of Neutrosophic Science, Vol. 24, No. 1, 2024 ,PP. 08-13 (Doi : https://doi.org/10.54216/IJNS.240101) |
| APA | Tuqa A. H. Al-Tamimi, Luay A. A. Al-Swidi , Ali H. M. Al-Obaidi. (2024). Partner Sets for Generalizations of MultiNeutrosophic Sets. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 08-13 (Doi : https://doi.org/10.54216/IJNS.240101) |
| Chicago | Tuqa A. H. Al-Tamimi, Luay A. A. Al-Swidi , Ali H. M. Al-Obaidi. "Partner Sets for Generalizations of MultiNeutrosophic Sets." Journal of International Journal of Neutrosophic Science, 24 no. 1 (2024): 08-13 (Doi : https://doi.org/10.54216/IJNS.240101) |
| Harvard | Tuqa A. H. Al-Tamimi, Luay A. A. Al-Swidi , Ali H. M. Al-Obaidi. (2024). Partner Sets for Generalizations of MultiNeutrosophic Sets. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 08-13 (Doi : https://doi.org/10.54216/IJNS.240101) |
| Vancouver | Tuqa A. H. Al-Tamimi, Luay A. A. Al-Swidi , Ali H. M. Al-Obaidi. Partner Sets for Generalizations of MultiNeutrosophic Sets. Journal of International Journal of Neutrosophic Science, (2024); 24 ( 1 ): 08-13 (Doi : https://doi.org/10.54216/IJNS.240101) |
| IEEE | Tuqa A. H. Al-Tamimi, Luay A. A. Al-Swidi, Ali H. M. Al-Obaidi, Partner Sets for Generalizations of MultiNeutrosophic Sets, Journal of International Journal of Neutrosophic Science, Vol. 24 , No. 1 , (2024) : 08-13 (Doi : https://doi.org/10.54216/IJNS.240101) |