一种基于投影的区间直觉模糊信息多属性决策方法  

A projection method for multiple attribute decision making with interval-valued intuitionistic fuzzy information

作　　者：王晓[1] 刘兮[1] 陈华友[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《合肥工业大学学报（自然科学版）》2010年第9期1420-1424,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(70571001);安徽省优秀青年科技基金资助项目(08040106835);安徽省自然科学基金资助项目(070416245);安徽省高等学校教学研究资助项目(2007jyxm177);安徽省高校青年教师资助项目(2007jq1017)

摘　　要：文章针对区间直觉模糊信息的多属性决策问题,提出了一种新的基于投影思想的决策方法。该方法首先定义了区间直觉模糊正、负理想方案以及决策方案在区间直觉模糊正、负理想方案上的投影等概念;然后对于属性权重信息不完全的情形,建立了一种基于投影的多目标规划模型以获得相应的权重,并利用区间直觉模糊数的加权算术平均(IIFWA)算子对评价信息进行集结,从而获得各个决策方案的排序和择优结果。文中给出一个实例分析,说明了该方法的有效性和可行性。A new method based on projection is proposed for multiple attribute decision making with interval-valued intuitionistic fuzzy information.Firstly,the concepts of interval-valued intuitionistic fuzzy ideal/anti-ideal alternative and projection of each alternative on the interval-valued intuitionistic fuzzy ideal/anti-ideal alternative are defined.Then,multi-objective programming model based on projection,with which the attribute weight information is incomplete,is established.By solving this model,the attribute weights can be determined.Interval-valued intuitionistic fuzzy weighted arithmetic averaging（IIFWA） operator is utilized to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative in order to rank the alternatives and select the most desirable one（s）.Finally,an example is given to demonstrate the feasibility and practicability of the proposed method.

关 键 词：多属性决策 区间直觉模糊数 投影 正、负理想方案 

分 类 号：C934[经济管理—管理学]