Ranking Fuzzy Numbers Using Centerbased Methods And Its Application

Abstract

Ranking fuzzy numbers has become an important process in decision making. Many ranking methods have been proposed thus far and one of the commonly used is centroid method. However, there is still no agreement on the method that can always provide a satisfactory solution to every situation. This research aims to propose a new ranking fuzzy numbers method using circumcenter, orthocenter and incenter of centroids. The calculation for the circumcenter, orthocenter and incenter is derived from a trapezoidal of fuzzy numbers which is split into three parts of triangle and series of proposed algorithms. The new proposed algorithms not only compute the center- based, but also consider the height, distance, spread and area of trapezoidal fuzzy numbers. An implementation of the proposed algorithms in a few examples of ranking fuzzy numbers and decision making problem is given to illustrate the proposed methods. In order to test the proposed methods in real cases, a case study of risk analysis on obesity is used and the results show that the factor of family history is the main factors that contribute to obesity. The result implicates the importance of family’s lifestyle in minimising the development of obesity.