Multi-criteria group decision making method in Pythagorean
interval-valued neutrosophic fuzzy soft soft using VIKOR approach
M. Palanikumar1, Aiyared Iampan2,∗, Said Broumi3, Lejo J Manavalan4, K. Sundareswari5
1Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of
Medical and Technical Sciences, Chennai-602105, India
2Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19
Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
3Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca,
Morocco
4Department of Mathematics, Little Flower College-680103, Guruvayoor, India
5Department of Mathematics, Al- Ameen Engineering College, Erode
Emails: palanimaths86@gmail.com; aiyared.ia@up.ac.th; broumisaid78@gmail.com;
lejojmanavalan@gmail.com; sundarimaths@gmail.com
∗ Corresponding author: aiyared.ia@up.ac.th2
Abstract
In contrast to the Pythagorean interval valued fuzzy soft set and the neutrosophic interval valued fuzzy soft
set, the Pythagorean neutrosophic interval valued fuzzy soft set is a generalization of these sets. We discuss
aggregating PyNIVFS decision matrixes by using aggregated operations. The VIKOR method, which is an
extension of neutrosophic fuzzy soft sets, is a powerful method for evaluating multi-criteria group decision
making. The score function in this approach is based on the aggregation of the VIKOR method to a PyNIVFSpositive
and negative solution. Optimal alternatives are introduced under closeness. An investment company
plans to purchase some shares of the top five companies in the stock exchange to invest some money on. In
order to minimize this factor, they decided to invest some of their cash in percentages of 30 dollars, 25 dollars,
20 dollars, 15 dollars and 10 dollars in accordance with the top five ranked companies in order to minimize the
effect of this factor.
Keywords: PyNIVFS set; MCGDM; VIKOR; aggregation operator.