In the present paper, the researchers discuss the problem of weighted interval approximation of fuzzy numbers. This interval can be used as a crisp set approximation with respect to a fuzzy quantity. It is the interval which fulfills two conditions. In the first, this interval is a continuous\ninterval approximation operator. In the second, the parametric weighted distance between this interval and the approximated number is minimal and continuous. Then, by using this, the researchers proposed a novel approach to ranking fuzzy numbers. This method can effectively rank various fuzzy numbers, their images and overcome the shortcomings of the previous techniques.\nThe proposed model is studied for a broad class for fuzzy numbers. The calculation of this method is far simpler than the other approaches. This article also has used some comparative\nexamples to illustrate the advantages of the proposed method.