A New Method of Ranking Fuzzy Number Based on α-Cut

摘要

This paper presents a new method of comparing or ranking of interval and fuzzy numbers . Based on another way of understanding fuzzy concept, the paper proposes the concept of number meaning of interval and the comparison method of interval. The paper defines the new ranking method by the α-cut intervals of fuzzy number, and proves that the new inequality relation of fuzzy numbers is transitive. Our approach is a simple way of considering all the existence levels and can be calculated at different exact level according to different applications.