A new distance and ranking method for trapezoidal fuzzy numbers

This study presents an approximate approach for ranking fuzzy numbers based on the centroid point of a fuzzy number and its area. The total approximate is determined by convex combining of fuzzy numberʹs relative and its area that based on decision makerʹs optimistic perspectives. The proposed approach is simple in terms of computational efforts and is efficient in ranking a large quantity of fuzzy numbers. By a group of examples in [3] demonstrate the accuracy and applicability of the proposed approach. Finally by this approach, a new distance is introduced between two fuzzy numbers.