基于不确定语言信息的群决策方法及其应用

对于属性权重和属性值均以不确定语言信息形式给出的多属性群决策问题进行了研究,提出了基于ULWM算子和ULHA算子的多属性群决策方法。首先定义了ULWM算子,并且讨论了该算子的一些性质。通过ULWM算子集结决策方案的综合属性评估值,ULHA算子集结决策方案的群体综合属性评估值。然后利用可能度公式对于所有决策方案综合评估值进行比较得到可能度矩阵,最后对模糊互补判断矩阵排序得到所有决策方案的排序信息。实例表明了该方法的有效性。

A Kind of Method for Multiple Attribute Group Decision Making Based on Uncertain Linguistic Information and its Application

A new method,based on the ULWM operator and ULHA operator,of multiple attribute group decision-making is studied in this paper,with uncertain linguistic information of the attribute weights and attribute values.Firstly,the concept of ULWM operator is defined.Some characters of ULWM operator are discussed.The synthesis attribute values of alternatives are concentrated through the ULWM operator.The group synthesis attribute values of alternatives are concentrated through the ULHA operator.Then,compared with the values of all alternatives by the probability formula,the probability matrix is gained.Finally,all alternatives are ranked by a formula to the fuzzy complementary judgment matrix.An example shows the effectiveness of this method.