群决策中基于区间语言信息的专家水平评判问题研究  

The Assessment Level of Experts in Group Decision Making Based on Interval Linguistic Judgment Matrix

作　　者：陈岩[1] 杨依宁 金爽[1] 

机构地区：[1]沈阳工业大学理学院,辽宁沈阳110870

出　　处：《模糊系统与数学》2015年第6期76-87,共12页Fuzzy Systems and Mathematics

摘　　要：针对群决策中基于区间语言信息的专家水平评判问题,提出了一种基于相容性的分析方法。提出了新的相容性概念,并在此基础上讨论了区间语言判断矩阵相容性的相关性质;构造完全一致区间语言判断矩阵,并对矩阵进行集结得到一致的综合判断矩阵;计算每个专家给出的判断矩阵与一致性综合矩阵之间的相容性指标,并通过相容性指标的大小对专家评判水平进行排序;最后,通过算例说明了该方法的合理性和有效性。In view of the problem of the assessment level of experts in group decision making based on interval linguistic judgment matrix, we proposed a method through analyzing the compatibility. In this method, we presented a new definition of compatibility and consistency index. Furthermore, we discussed the relationship between consistency and compatibility of interval linguistic judgment matrix. And this paper presented a method to construct consistent interval linguistic judgment matrix, and proposed an aggregation method for group decision making to acquire the synthetic judgment matrix, and assessment level of experts based on the compatibility index. Finally, a numerical example was shown and the whole process manifested the reasonability and effectiveness of this method.

关 键 词：区间语言判断矩阵 相容性 一致性 逆判 

分 类 号：C934[经济管理—管理学]