群决策中基于二元语义的主客观权重集成方法  

A Subjective and Objective Weights Integrated Method Based on 2-Tuple Linguistic for Group Decision Making

作　　者：丁勇[1,2] 梁昌勇[1,2] 朱俊红[1] 陆文星[1] 

机构地区：[1]合肥工业大学管理学院,安徽合肥230009 [2]过程优化与智能决策教育部重点实验室

出　　处：《中国管理科学》2010年第5期165-170,共6页Chinese Journal of Management Science

基　　金：国家自然科学基金重点资助项目(70631003),国家自然科学基金资助项目(70771037,70871034);国家“863”项目(2006AA04A126);教育部人文社科研究基金项目(09YJC630055);安徽省教育厅重点项目(KJ2009A014)

摘　　要：针对一类属性值和属性权重信息均以语言评价信息形式给出的多属性群决策问题,提出了一种基于二元语义信息处理的主客观属性权重集成方法。首先运用二元语义集成算子计算属性的主观权重,然后给出一种基于最小偏差的属性客观权重计算方法,该方法根据决策者给出的语言决策矩阵计算决策群体对属性判断的偏差,偏差越大,表明决策者对该属性评价意见的分歧越大,则应赋给该属性越小的权重值,以提高群体意见的一致性。在此基础上,对属性的主、客观权重信息进行集成,得到属性综合权重。最后通过算例说明了该方法的有效性和实用性。A subjective and objective attribute weights integrated approach,based on 2-tuple linguistic information processing,for multi-attribute group decision making problem with linguistic attribute value and attribute weights value,is proposed.Firstly,subjective attribute weights are calculated by using the weighted averaging operator for linguistic 2-tuples.Secondly,an objective weights determining method based on the minimizing deviation is proposed.The deviation of attribute judgment of decision making group is calculated according to linguistic decision matrix.This deviation is larger,and it shows the disagreement of decision maker opinion is larger.Therefore,the attribute weights value would be littler in order to enhance the consistency of group judgment.Then,subjective weight and objective weight are integrated into comprehensive weight.Finally,an example is given to illustrate that this method is effective and practicable.

关 键 词：多属性群决策 二元语义 主观权重 客观权重 

分 类 号：C934[经济管理—管理学]