A NEW APPROACH FOR RANKING NON-NORMAL TRAPEZOIDAL FUZZY NUMBER

摘要

In this paper, the conception of the quasi-slope of fuzzy number is proposed, some properties of quasi-slope of fuzzy number are investigated, and a ranking index value is obtained based on the quasi-slope and geometrical distance. Then a novel approach to ranking non-normal trapezoidal fuzzy numbers is set up based on their ranking index values. This approach not only makes the calculation easy, but also improves some shortcomings of the previous method in ranking fuzzy numbers. At last, we present some examples to illustrate the advantage and practicality of the new approach.