A new approach for ranking fuzzy numbers based on possibility theory

摘要

Most of the ranking methods discuss only triangular fuzzy numbers or trapezoidal fuzzy numbers. In this paper, we will introduce a new method of ranking generalized L−R fuzzy numbers based on possibility theory and the implication of possibilistic mean and possibilistic standard deviation. Normal fuzzy numbers are the exceptional cases. The calculation of the proposed method is simpler and easier. Some comparative examples are used to illustrate the advantages of the proposed method.