Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (11): 2312-2317.doi: 10.3969/j.issn.1001-506X.2012.11.21

• 系统工程 • 上一篇    下一篇

模糊偏好下基于属性二元关系的群体聚类方法

徐选华, 张丽媛, 陈晓红   

  1. 中南大学商学院, 湖南 长沙 410083
  • 出版日期:2012-11-20 发布日期:2010-01-03

Group clustering method based on binary-relation of attributes with fuzzy preference information

XU Xuan-hua, ZHANG Li-yuan, CHEN Xiao-hong   

  1. School of Business, Central South University, Changsha 410083, China
  • Online:2012-11-20 Published:2010-01-03

摘要:

在多属性复杂大群体决策中,对决策成员的决策结果进行有效的聚类,是分析以及完成群体决策的基础。考虑属性间二元关系,用直觉梯形模糊数表示决策者的偏好信息,给出一种大群体聚类方法。该方法通过计算直觉梯形模糊偏好矢量的期望值得到群体成员期望偏好矢量。基于属性间二元关系形成期望矢量的属性关系矩阵,并以此为基础构造了两期望矢量的相聚度模型,同时提出了大群体聚类方法。最后通过算例以及算例结果与其他聚类方法比较,证明该方法的有效性和实用性。

Abstract:

In multi-attribute complex large group decision, clustering the decision results of decision makers effectively is the base to analyze and complete the group decision. This paper gives a clustering method of large groups based on a binary-relation of attributes, which uses the intuitionistic trapezoidal fuzzy number to express the group member preference information. By calculating the expected value of the intuitionistic trapezoidal fuzzy number to get the expected vector of group members. The binary-relation is used to form the attribute relationship matrix of the expected value; the preference aggregation model for large groups based on the similarity of two expected vectors is constructed. Based on the model, the clustering method of large groups is propsed. Finally, a numerical example is given and the numerical results are compared with other clustering methods, which shows the proposed method is effective and practical.