群组决策中三角模糊数互补判断矩阵的相容性及方案排序研究  

Research on Compatibility of Triangular Fuzzy number Complementary Judgment Matrices in Group Decision-making

作　　者：姚升保[1] 徐敏[1] 

机构地区：[1]中南财经政法大学工商管理学院,湖北武汉430073

出　　处：《中国管理科学》2012年第5期152-156,共5页Chinese Journal of Management Science

基　　金：教育部人文社会科学研究青年基金项目(09YJC630229);中央高校基本科研业务费专项资金资助项目(31541110807)

摘　　要：针对专家偏好信息为三角模糊数互补判断矩阵的群组决策问题,研究偏好信息的相容性及方案排序问题。基于Hamming距离的概念,首先给出了衡量两个三角模糊数相容性的一个指标,并研究了该指标的相关性质;其次,根据三角模糊数互补判断矩阵的特点,给出了三角模糊数互补判断矩阵的相容性指标;以相容性指标为依据设定专家权重,进而给出了一种方案排序方法。最后,算例验证了方法的有效性。In this paper, the compatibility of preference information and alternatives ranking for group deci- sion-making problems are studied, in which the experts＇ preference information is represented by triangu- lar fuzzy number complementary judgment matrices. Firstly, a compatibility index of triangular fuzzy num- bers is proposed based on the hamming distance, and the properties of the index are studied. Secondly, a compatibility index of triangular fuzzy number complementary iudgmerit matrices is proposed according to the characteristics of the preference information. Thirdly, the compatibility index is used to determine weights of experts, and a ranking method is presented for the group decision-making problem. At last, a numerical example demonstrates the effectiveness of the proposed method.

关 键 词：互补判断矩阵 三角模糊数 相容性 排序 

分 类 号：C931[经济管理—管理学]