International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1375 2020 2020 Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India M. Palanikumar 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 Aiyared Iampan 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 Said Broumi 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. 2022 2022 85 94 10.54216/IJNS.190308 https://www.americaspg.com/articleinfo/21/show/1375