基于直觉模糊信息多属性群决策的新方法  

A New Method of Multi-attribute Large Group Decision Making Based on Intuitionistic Fuzzy Information

作　　者：陶志富[1] 陈华友[1] 周礼刚[1] 

机构地区：[1]安徽大学数学科学学院,合肥230039

出　　处：《武汉理工大学学报（交通科学与工程版）》2011年第6期1197-1200,1201,共5页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：国家自然科学基金项目(批准号:70571001);安徽省优秀青年科技基金项目(批准号:08040106835);安徽高等学校省级教学研究项目(批准号:2007jyxm177);安徽省高校青年教师项目(批准号:2007jq1017)资助

摘　　要：给出了直觉模糊信息的比较可能度和数乘运算的概念,考虑了基于直觉模糊信息且属性权重完全未知的多属性群决策问题.基于直觉模糊熵权理论和相对熵原理建立相应最优化模型,讨论了模型的求解,获得了属性的客观权重和方案的最终权重,并依据方案的最终权重对方案进行排序.通过一个算例表明所提方法的有效性.The comparing possibility and numerical multiplication of intuitionistic fuzzy information are given,and the multi-attribute group decision making based on intuitionistic fuzzy information and unknown weights of each attribute are considered.Some models on the basis of intuitionistic fuzzy entropy weights and relative entropy theory are contributed,their solutions are discussed,through which the corresponding objective weights of each attribute and the final weights of each scheme,and then obtain the order of all schemes based on the final scheme weights.Finally,a numerical example is introduced to show the application of this method.

关 键 词：多属性群决策 直觉模糊信息 熵 相对熵 可能度 

分 类 号：C934[经济管理—管理学] N945[自然科学总论—系统科学]