一种基于综合优势度指标排序模糊数的新方法

A New Method for Ranking Fuzzy Numbers Based on the Composite Dominance of Fuzzy Numbers

关键词:  模糊数  散度  质心  排序

Key words:  fuzzy numbers  divergence  centroid  ranking

摘要:

给出模糊数散度指标及几何优势度的定义,再综合相对离散优势度及几何优势度,提出一种基于综合优势度指标排序模糊数的新方法并用算例对其进行检验.新方法既考虑模糊数的散度指标,又考虑模糊数的质心指标,在一定程度上克服了只考虑单一指标排序模糊数时出现的一些缺陷,所得的排序结果与一般决策者的偏好相一致.

Abstract:

The divergence and geometric dominance of fuzzy numbers are defined, with the composite of the discrete dominance and geometric dominance, a new ranking method has been proposed and examples are used to show the advantages of proposed method.The proposed method has not only been considered the centroid of fuzzy number but also relate to the divergence of fuzzy number, which can improve the methods of ranking fuzzy numbers considered only one single index, and the ranking results according to decision makers.