基于二元语义多属性群决策的投影法

针对解决具有语言评价信息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群决策方法。该方法采用近年来最新发展的二元语义概念对语言评价信息进行处理和运算，并依据传统投影分析方法的基本思想，通过计算备选方案对正理想方案和负理想方案的投影值，进而计算备选方案对正理想方案相对贴近度，最终确定最优方案。该方法具有对语言信息处理较为精确的特点，避免了以往采用的语言信息处理方法所带来的信息扭臼和损失。最后给出了实例分析。结果表明方法简单，有效和易于计算。

Project Method for Multiple Attribute Group Decision Making in Two-tuple Iinguistic Setting

A new method is proposed to solve multiple attribute group decision making problems with linguistic assessment information. In the method, the two-tuple linguistic representation model developed in recent years is used to aggregate the linguistic assessment information. According to the traditional ideas of project method, the optimal alternative( s) is determined by calculating the project values of every alternative and positive ideal solution and negative ideal solution. It is based on the concept that the optimal alternative should have the largest degree of relative closeness from positive ideal solution. The method has exact characteristic in linguistic information processing. It avoids information distortion and loss which occur formerly in the linguistic information processing. Finally, a numerical example is used to illustrate the use of the proposed method. The result shows the approach is simple, effective and easy to calculate.