International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 19 , Issue 3 , PP: 85-94, 2022 | Cite this article as | XML | Html | PDF

MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators

M. Palanikumar 1 * , Aiyared Iampan 2 , Said Broumi 3

  • 1 Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (palanimaths86@gmail.com)
  • 2 Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand - (palanimaths86@gmail.com)
  • 3 Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco;Regional Center for the Professions of Education and Training (C.R.M.E.F), Casablanca-Settat, Morocco - (broumisaid78@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.190308

    Received: June 28, 2022 Accepted: November 13, 2022
    Abstract

    In this study, we presented a new generalization of the Fermatean interval valued fuzzy soft set (FIVFSS) and

    the neutrosophic interval valued soft set called the neutrsophic Fermatean interval valued soft set (NSFIVSS).

    The NSFIVSS decision matrix aggregated operations are the topic of our current discussion. Strong points of

    view for the generalization of the interval valued fuzzy soft set (IVFSS) known as multi-criteria group decision

    making (MCGDM) are the TOPSIS and VIKOR techniques. We discuss a score function that combines

    TOPSIS, VIKOR, and NSFIVSS-positive ideal solution (PIS) and NSFIVSS-negative ideal solution (NIS)

    techniques. The TOPSIS and VIKOR methods also offer decision-making weights. The nearness condition

    is used to determine the best alternative. An educational trust intends to give some money to those underdeveloped

    schools since they lack amenities like restrooms, a campus environment that is favorable to learning,

    sports equipment, and classroom furnishings like desks and lights. In order to lower the factor, they declared

    a payment to be made in the amounts of 30, 25, 20, 15, and 10. Find the top five under performing schools in

    the state.

    Keywords :

    NSFIVSS , TOPSIS , VIKOR , aggregation operator

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    Cite This Article As :
    M. Palanikumar, Aiyared Iampan, Said Broumi. "MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators." Full Length Article, Vol. 19, No. 3, 2022 ,PP. 85-94 (Doi   :  https://doi.org/10.54216/IJNS.190308)
    M. Palanikumar, Aiyared Iampan, Said Broumi. (2022). MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators. Journal of , 19 ( 3 ), 85-94 (Doi   :  https://doi.org/10.54216/IJNS.190308)
    M. Palanikumar, Aiyared Iampan, Said Broumi. "MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators." Journal of , 19 no. 3 (2022): 85-94 (Doi   :  https://doi.org/10.54216/IJNS.190308)
    M. Palanikumar, Aiyared Iampan, Said Broumi. (2022). MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators. Journal of , 19 ( 3 ), 85-94 (Doi   :  https://doi.org/10.54216/IJNS.190308)
    M. Palanikumar, Aiyared Iampan, Said Broumi. MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators. Journal of , (2022); 19 ( 3 ): 85-94 (Doi   :  https://doi.org/10.54216/IJNS.190308)
    M. Palanikumar, Aiyared Iampan, Said Broumi, MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators, Journal of , Vol. 19 , No. 3 , (2022) : 85-94 (Doi   :  https://doi.org/10.54216/IJNS.190308)