期刊
SOFT COMPUTING
卷 15, 期 7, 页码 1289-1300出版社
SPRINGER
DOI: 10.1007/s00500-010-0662-3
关键词
Group decision making; Incomplete reciprocal relation; Additive transitivity consistency; Auxiliary reciprocal relation
资金
- Hohai University the Fundamental Research Funds for the Central Universities [2009B04514]
- National Natural Science Foundation of China [50979024, 90924027]
In a very recent paper by Xu and Chen (Soft Comput 12:515-521, 2008), a novel procedure for group decision making with incomplete reciprocal relations was developed. In this note, we examine the function between the fuzzy preference relation and its corresponding priority vector developed by Xu and Chen with a numerical example and show that the function does not hold in general cases. Then, we deduce an exact function between the additive transitivity fuzzy preference relation and its corresponding priority vector. Based on this, we develop a procedure for the decision making with an incomplete reciprocal relation and also develop a procedure for the group decision making with incomplete reciprocal relations. In order to compare the performances of our method with Xu and Chen's method in fitting the reciprocal relation, we introduce some criteria. Theoretical analysis and numerical examples have shown that the function deduced by us is more reasonable and effective than Xu and Chen's.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据