基于方案偏好和部分权重信息的模糊多属性决策方法  

Method for fuzzy multi-attribute decision making with preference on alternatives and partial weights information

作　　者：龚艳冰[1] 

机构地区：[1]河海大学商学院,江苏常州213022

出　　处：《控制与决策》2008年第5期507-510,共4页Control and Decision

基　　金：江苏省建设厅项目(JS200501)

摘　　要：研究了只有部分权重信息且决策者对方案的偏好信息以三角模糊数互反判断矩阵形式给出的模糊多属性决策问题.首先为得到属性权重,给出一种结合主观模糊偏好信息和客观决策信息的极小化极大偏差模型;然后,运用加性加权法求出各方案的模糊综合属性值,并利用已有的三角模糊数排序公式求得决策方案的排序;最后,通过算例说明了该方法的可行性和有效性.The fuzzy multi-attribute decision making （FMADM） problems are investigated, in which the information about attribute weights is known partly and the decision maker has preference information on alternatives in the form of triangular fuzzy numbers reciprocal judgment matrix. A minimizing the maximum difference model is introduced to assess the weights of attributes in the FMADM problem, which integrates subjective fuzzy preference relations and objective information. The additive weighting method is used to obtain the fuzzy overall values of alternatives. By using the priority formula of triangular fuzzy numbers, the decision alternatives are then ranked. Finally, a numerical example is given to show the feasibility and effectiveness of the developed method.

关 键 词：互反判断矩阵 三角模糊数 排序 

分 类 号：C934[经济管理—管理学]