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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 21 • Issue 1 • PP: 121-133 • 2023

Neutrosophic hesitant fuzzy UP (BCC)-filters

Aiyared Iampan 1*
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,
S. Yamunadevi 2
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,
P. Maragatha Meenakshi 3
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,
N. Rajesh 4
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1Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
2Department of Mathematics, Vivekanandha College of Arts and Science for Women, Tiruchengode-637205, Tamilnadu, India
3Department of Mathematics, Periyar E.V.R. College (affiliated to Bharathidasan University), Tiruchirappalli-620023, Tamilnadu, India
4Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.210111
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Received: January 19, 2023 Revised: April 23, 2023 Accepted: May 05, 2023
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Abstract

In this paper, we introduce the concept of neutrosophic hesitant fuzzy UP (BCC)-filters of UP (BCC)-algebras. The characteristic neutrosophic hesitant fuzzy UP (BCC)-filters have also been studied. The relationship between neutrosophic hesitant fuzzy UP (BCC)-filters and their level subsets is provided. The Cartesian product of neutrosophic hesitant fuzzy UP (BCC)-filters is also supplied. Finally, we also find the property of the homomorphic pre-image of neutrosophic hesitant fuzzy UP (BCC)-filters.

Keywords

UP-algebra neutrosophic hesitant fuzzy filter level subset Cartesian product homomorphic pre-image.

References

[1] B. Ahmad, A. Kharal, On fuzzy soft sets, Adv. Fuzzy Syst., vol. 2009, Article ID: 586507, 6 pages, 2009.

[2] M. Atef, M. I. Ali, T. Al-shami, Fuzzy soft covering based multi-granulation fuzzy rough sets and their bapplications, Comput. Appl. Math., vol. 40, no. 4, Article number: 115, 2021.

[3] N. Caˇgman, S. Enginoˇglu, F. Citak, Fuzzy soft set theory and its application, Iran. J. Fuzzy Syst., vol. 8, no. 3, pp. 137-147, 2011.

[4] T. Guntasow, S. Sajak, A. Jomkham, A. Iampan, Fuzzy translations of a fuzzy set in UP-algebras, J. Indones. Math. Soc., vol. 23, no. 2, pp. 1-19, 2017.

[5] Y. Huang, BCI-algebra, Science Press, Beijing, China, 2006.

[6] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top., vol. 5, no. 1, pp. 35-54, 2017.

[7] A. Iampan, S. Yamunadevi, P. Maragatha Meenakshi, N. Rajesh, A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets, Int. J. Neutrosophic Sci., vol. 20, no. 4, pp. 78-92, 2023.

[8] Y. B. Jun, S. S. Ahn, G. Muhiuddin, Hesitant fuzzy soft subalgebra and ideal in BCI/BCK-algebras, Sci. World J., vol. 2014, Article ID: 763929, 7 pages, 2014.

[9] Y. B. Jun, B. Brundha, N. Rajesh, R. K. Bandaru, (3, 2)-Fuzzy UP (BCC)-subalgebras and (3, 2)-fuzzy UP (BCC)-filters, J. Mahani Math. Res. Cent., vol. 11, no. 3, pp. 1-14, 2022.

[10] Y. B. Jun, S.-Z. Song, Hesitant fuzzy set theory applied to filters in MTL-algebras, Honam Math. J., vol. 36, no. 4, pp. 813-830, 2014.

[11] Y. Komori, The class of BCC-algebras is not a variety, Math. Japon., vol. 29, no. 3, pp. 391-394, 1984.

[12] P. Mosrijai, W. Kamti, A. Satirad, A. Iampan, Hesitant fuzzy sets on UP-algebras, Konuralp J. Math., vol. 5, no. 2, pp. 268-280, 2017.

[13] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw, A. Iampan, Fuzzy sets in UP-algebras, Ann. Fuzzy Math. Inform., vol. 12, no. 6, pp. 739-756, 2016.

[14] V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst., vol. 25, no. 6, pp. 529-539, 2010.

[15] V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, 18th IEEE Int. Conf. Fuzzy Syst., Jeju Island, pp. 1378-1382, 2009.

[16] L. A. Zadeh, Fuzzy sets, Inf. Control, vol. 8, no. 3, pp. 338-353, 1965.

[17] B. Zhu, Z. Xu, M. Xia, Dual hesitant fuzzy sets, J. Appl. Math., vol. 2012, Article ID: 879629, 13 pages, 2012.

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Iampan, Aiyared, Yamunadevi, S., Meenakshi, P. Maragatha, Rajesh, N.. "Neutrosophic hesitant fuzzy UP (BCC)-filters." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 1, 2023, pp. 121-133. DOI: https://doi.org/10.54216/IJNS.210111
Iampan, A., Yamunadevi, S., Meenakshi, P., Rajesh, N. (2023). Neutrosophic hesitant fuzzy UP (BCC)-filters. International Journal of Neutrosophic Science, Volume 21(Issue 1), 121-133. DOI: https://doi.org/10.54216/IJNS.210111
Iampan, Aiyared, Yamunadevi, S., Meenakshi, P. Maragatha, Rajesh, N.. "Neutrosophic hesitant fuzzy UP (BCC)-filters." International Journal of Neutrosophic Science Volume 21, no. Issue 1 (2023): 121-133. DOI: https://doi.org/10.54216/IJNS.210111
Iampan, A., Yamunadevi, S., Meenakshi, P., Rajesh, N. (2023) 'Neutrosophic hesitant fuzzy UP (BCC)-filters', International Journal of Neutrosophic Science, Volume 21(Issue 1), pp. 121-133. DOI: https://doi.org/10.54216/IJNS.210111
Iampan A, Yamunadevi S, Meenakshi P, Rajesh N. Neutrosophic hesitant fuzzy UP (BCC)-filters. International Journal of Neutrosophic Science. 2023;Volume 21(Issue 1):121-133. DOI: https://doi.org/10.54216/IJNS.210111
A. Iampan, S. Yamunadevi, P. Meenakshi, N. Rajesh, "Neutrosophic hesitant fuzzy UP (BCC)-filters," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 1, pp. 121-133, 2023. DOI: https://doi.org/10.54216/IJNS.210111
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