Ranking fuzzy numbers are one of the important tools in decision process. There are many methods that have been proposed by a number of researchers but most of the methods are nondiscriminating and counterintuitive. Thus, proposing a new method for ranking fuzzy numbers are very prominent. The main objective of this paper is to get better ranking results to rank generalized fuzzy numbers than existing method. This paper reviews the centroid method in ranking fuzzy numbers by several researchers. A new calculation of centroid method will be proposed in this paper. At the end of the paper, a numerical calculation and a comparison of centroid method between the proposed method and other researchers’ method will be showed to check on its consistency.

No 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 of trapezoid. However, there is still no agreement on the method that can always provide a satisfactory solution to every situation. This paper aims to propose a new method of centroid using the circumcenter. The calculation for the circumcenter is derived from the trapezoidal fuzzy numbers and a series of the proposed steps. The proposed method offers a straightforward calculation by considering the centroid in each part of trapezoid to obtain a new centroid which eventually becomes the circumcenter. The Euclidean distance is used to calculate the ranking function from the circumcenter of centroids and the original point. A numerical example is given to illustrate the proposed method. At the end of this paper, a comparison of centroid method between the proposed method and other methods is presented.

No abstract