A new method to measure the similarity between fuzzy numbers

In this paper, we present a new method to measure the degree of similarity between fuzzy numbers. The proposed method uses the concept of geometry to calculate the center-of-gravity (COG) points of trapezoidal or triangular fuzzy numbers and then to calculate the degree of similarity between fuzzy numbers. We also prove some properties of the proposed similarity measure and use an example to compare the proposed method with the existing methods. The proposed similarity measure can overcome the drawbacks of the existing methods.