基于灰色关联求解权重未知的区间直觉模糊集多属性群决策  

Based on Grey Relational Analysis Method the Multiple Attribute Group Decision Making of Interval-valued Intuitionistic Fuzzy Sets with Unknown Weights

作　　者：陈志旺[1] 杨七[1] 白锌 王小飞[1] 李国强[1] 陈林[1] 

机构地区：[1]燕山大学工业计算机控制工程河北省重点实验室,河北秦皇岛066004

出　　处：《模糊系统与数学》2015年第6期64-75,共12页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61403331);河北省自然科学基金青年基金资助项目(F2014203099);燕山大学青年教师自主研究计划课题(13LGA006)

摘　　要：针对群决策权重和属性权重都完全未知的区间直觉模糊集多属性群决策问题,首先用可能度公式对属性值的区间得分函数和区间精确函数分别进行比较,建立区间得分函数互补判断矩阵和区间精确函数互补判断矩阵,由此对属性值进行排序。然后通过区间直觉模糊熵计算得到群决策权重和属性权重,并用区间直觉模糊混合平均(IVIFHA)算子集结群决策矩阵,得到综合区间直觉模糊决策矩阵。最后基于灰色关联分析(GRA),先计算备选方案与理想方案的区间数距离,再建立备选方案对理想方案的灰色关联系数和属性加权的区间灰色关联度,确定最终的方案排序。For the multiple attribute group decision making problems whose group decision making weights and attribute weights are completely unknown in interval-valued intuitionistic fuzzy sets, firstly the formula of possibility degree is applied to compare the interval score function and accuracy functions of the attribute values respectively, furthermore, the complementary iudgement matrix of interval score function and accuracy function are employed in ranking the attribute value. Secondly, the interval-valued intuitionistic fuzzy entropy is used to obtain group decision making weights and attribute weights, and then all the group decision making matrices are aggregated into a collective interval-valued intuitionistic fuzzy decision matrix by the interval-valued intuitionistic fuzzy hybrid averaging （IVIFHA） operator. Finally, based on grey relational analysis （GRA）, the interval distance between every alternative and the ideal- positive alternative is calculated, then the grey relational coefficient and the attribute weighted grey correlation degree of every alternative from the ideal-positive alternative are derived. Hence, the ranking order of all the alternatives is determined.

关 键 词：多属性群决策 区间直觉模糊集 区间得分函数 区间直觉模糊熵 灰色关联分析 

分 类 号：C934[经济管理—管理学]