Decision making under uncertainty via generalized parabolic intuitionistic fuzzy numbers

Abstract

In this paper, generalized parabolic intuitionistic fuzzy number has been studied. The aim of this paper is to present arithmetic operations of generalized parabolic intuitionistic fuzzy numbers by using (α, β)-cut method. In spite of these, exponential, logarithmic and nth root of generalized parabolic intuitionistic fuzzy numbers have been done followed by numerical examples. Furthermore, rank of generalized parabolic intuitionistic fuzzy numbers has been evaluated based on mean and value. Finally, a decision making problem has been discussed to show its existence and applicability in real life.