A novel method for ranking generalized fuzzy numbers with two different heights and its application in fuzzy risk analysis

Due to the large use of fuzzy numbers, the ranking of these numbers is very important. In this paper, we propose a new method for ranking generalized fuzzy numbers with different left and right heights. The proposed method, at first obtains the centers of gravity of fuzzy numbers and left and right side crisp numbers; then by computing left and right areas associated with them, ranks the fuzzy numbers. The proposed method can overcome the flaws and defects of some ranking methods, and the provided examples are evidence of this. Finally this method is applied to the fuzzy risk analysis problem.