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International Journal of Neutrosophic Science
Volume 19 , Issue 3, PP: 85-94 , 2022 | Cite this article as | XML | Html |PDF

Title

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

Authors Names :   M. Palanikumar   1 *     Aiyared Iampan   2     Said Broumi   3  

1  Affiliation :  Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India

    Email :  palanimaths86@gmail.com


2  Affiliation :  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

    Email :  palanimaths86@gmail.com


3  Affiliation :  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

    Email :  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, International Journal of Neutrosophic Science, Vol. 19 , No. 3 , (2022) : 85-94 (Doi   :  https://doi.org/10.54216/IJNS.190308)