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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 20 , Issue 4 , PP: 78-92, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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)

    • 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.

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    Cite This Article As :
    Iampan, Aiyared. , Yamunadevi, S.. , Maragatha, P.. , Rajesh, N.. A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 78-92. DOI: https://doi.org/10.54216/IJNS.200406
    Iampan, A. Yamunadevi, S. Maragatha, P. Rajesh, N. (2023). A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. International Journal of Neutrosophic Science, (), 78-92. DOI: https://doi.org/10.54216/IJNS.200406
    Iampan, Aiyared. Yamunadevi, S.. Maragatha, P.. Rajesh, N.. A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. International Journal of Neutrosophic Science , no. (2023): 78-92. DOI: https://doi.org/10.54216/IJNS.200406
    Iampan, A. , Yamunadevi, S. , Maragatha, P. , Rajesh, N. (2023) . A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. International Journal of Neutrosophic Science , () , 78-92 . DOI: https://doi.org/10.54216/IJNS.200406
    Iampan A. , Yamunadevi S. , Maragatha P. , Rajesh N. [2023]. A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets. International Journal of Neutrosophic Science. (): 78-92. DOI: https://doi.org/10.54216/IJNS.200406
    Iampan, A. Yamunadevi, S. Maragatha, P. Rajesh, N. "A novel extension of hesitant fuzzy sets on UP (BCC)-algebras: neutrosophic hesitant fuzzy sets," International Journal of Neutrosophic Science, vol. , no. , pp. 78-92, 2023. DOI: https://doi.org/10.54216/IJNS.200406

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