关键词: 模糊数, 排序函数, 排序准则

Abstract: According to the problem of ranking fuzzy numbers, the paper gives several natural ranking criteria and puts forward a new ranking function on special fuzzy numbers. Based on the dictionary order in lattice theory, this function comprehensively determines the fuzzy numbers’ ranking sequentially through the following three indicators：the center of a fuzzy number, the area of the graph surrounded by a fuzzy number and x axis, the position of the center of gravity of a fuzzy number. This function can overcome some defects rooted in the existing methods, and has its certain superiority and instructive.

Key words: fuzzy number, ranking function, ranking criterion