A New Distance and Ranking Method for Triangular Fuzzy Numbers

This study presents an approximate approach for ranking fuzzy triangular numbers based on the distance method of a fuzzy triangular number and its area. The total approximate is determined by convex combining of fuzzy triangular number's relative and its area that based on decision maker's optimistic perspectives. The proposed approach is simple in terms of computational efforts and is efficient in ranking a large quantity of fuzzy triangular numbers. By a group of examples in [2] demonstrate the accuracy and applicability of the proposed approach. Finally we construct a new ranking system for fuzzy triangular number which is very realistic and also matching our intuition as the crisp ranking system on R.