基于灰色关联分析的三角模糊多属性决策法

A method of triangular fuzzy multiple attributes decision making based on gray correlation analysis

针对属性权重信息已知,且属性值为三角模糊数形式的多属性决策问题,提出了一种基于灰色关联分析的决策方法.该方法主要通过计算每个备选方案与正理想点和负理想点的关联系数,进而得到各个方案与正理想点和负理想点的加权灰色关联度,最后在充分考虑决策者风险偏好的基础上,根据两类关联度的权重,利用灰色综合关联度进行排序.当决策者风险偏好不同时,可以通过调整综合关联度的权重来进行决策,因而更加符合实际.实例分析表明该方法具有可行性和有效性.

With regard to the fuzzy multiple attribute decision making problems,in which the information about attribute weights are known completely and the attribute values are in the form of triangular fuzzy number,a decision making method based on grey correlation analysis is proposed.In this method,the correlation coefficients between each alternative with positive ideal point and negative ideal point are calculated.Then the weighted gray correlations between each alternative with positive ideal point and negative ideal point are obtained.At last,taking into account the risk preference of decision maker,the alternatives are ranked through gray comprehensive correlation degree.The decision making can be adjusted through changing the weights according to the different risk preference of decision maker.It will meet the real situation.An case study is shown that this method is feasible and effective.