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International Journal of Neutrosophic Science
Volume 20 , Issue 4, PP: 78-92 , 2023 | Cite this article as | XML | Html |PDF

Title

A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets

  Aiyared Iampan 1 * ,   S. Yamunadevi 2 ,   P. Maragatha Meenakshi 3 ,   N. Rajesh 4

1  Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
    (aiyared.ia@up.ac.th)

2  Department of Mathematics, Vivekanandha College of Arts and Science for Women, Tiruchengode-637205, Tamilnadu, India
    (yamunawin10@gmail.com)

3  Department of Mathematics, Periyar E.V.R. College (affiliated to Bharathidasan University), Tiruchirappalli-620023, Tamilnadu, India
    (maragathameenakship@gmail.com)

4  Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
    (nrajesh topology@yahoo.co.in)

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Doi   :   https://doi.org/10.54216/IJNS.200406

Received: January 09, 2023 Accepted: April 03, 2023

Abstract :

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

Keywords :

UP (BCC)-algebra; neutrosophic hesitant fuzzy UP (BCC)-subalgebra; neutrosophic hesitant fuzzy UP (BCC)-ideal; neutrosophic hesitant fuzzy strong UP (BCC)-ideal.

References :

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Cite this Article as :
Style #
MLA Aiyared Iampan, S. Yamunadevi, P. Maragatha Meenakshi, N. Rajesh. "A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets." International Journal of Neutrosophic Science, Vol. 20, No. 4, 2023 ,PP. 78-92 (Doi   :  https://doi.org/10.54216/IJNS.200406)
APA Aiyared Iampan, S. Yamunadevi, P. Maragatha Meenakshi, N. Rajesh. (2023). A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 78-92 (Doi   :  https://doi.org/10.54216/IJNS.200406)
Chicago Aiyared Iampan, S. Yamunadevi, P. Maragatha Meenakshi, N. Rajesh. "A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets." Journal of International Journal of Neutrosophic Science, 20 no. 4 (2023): 78-92 (Doi   :  https://doi.org/10.54216/IJNS.200406)
Harvard Aiyared Iampan, S. Yamunadevi, P. Maragatha Meenakshi, N. Rajesh. (2023). A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 78-92 (Doi   :  https://doi.org/10.54216/IJNS.200406)
Vancouver Aiyared Iampan, S. Yamunadevi, P. Maragatha Meenakshi, N. Rajesh. A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 4 ): 78-92 (Doi   :  https://doi.org/10.54216/IJNS.200406)
IEEE Aiyared Iampan, S. Yamunadevi, P. Maragatha Meenakshi, N. Rajesh, A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 4 , (2023) : 78-92 (Doi   :  https://doi.org/10.54216/IJNS.200406)
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