一种新的基于模糊偏好的TOPSIS改进方法  

A New Modified Approach of TOPSIS Based on Fuzzy Preference

作　　者：余雁[1] 梁樑[1] 蒋跃进[1] 杜少甫[1] 

机构地区：[1]中国科学技术大学商学院,安徽合肥230026

出　　处：《系统工程》2004年第8期87-90,共4页Systems Engineering

基　　金：国家863计划资助项目(2002AA46361);国家自然科学基金资助项目(70371023)

摘　　要：基于决策制定者对决策单元的模糊偏好,研究如何根据决策单元(DMU)的模糊偏好来分别获取TOPSIS方法下基于理想点和负理想点的偏好权重,从而达到最终决策时结果与模糊偏好相一致。从新的角度引入决策单元的模糊偏好,引用TOPSIS方法中理想点与负理想点的思想,提出多指标决策中基于模糊偏好的TOPSIS方法新模型,给出一种通过主观模糊偏好与客观决策矩阵信息相结合的求解权重的方法。Based on PIS(positive ideal solution) and NIS(negative ideal solution) of decision matrix , this paper investigates how the set of preference weight of criteria is determined according to the fuzzy preference to each DMU of decision maker which make the result of decision be consistent with fuzzy preference of decision maker finally. We introduce fuzzy prefer- (ence) of DMU and refer to the thought of PIS and NIS, then present the new model of TOPSIS based on fuzzy preference. A new approach to get weight of criteria is presented according to subjective fuzzy preference of decision making and objec- tive information of decision matrix.

关 键 词：模糊偏好 多指标决策 权重 理想点 

分 类 号：F202[经济管理—国民经济] O29[理学—应用数学]