不完整信息下的直觉模糊软集群决策方法

为了解决具有不完整信息的直觉模糊软集多属性群决策方法的问题,首先在模糊软集和直觉模糊软集的基础之上推广已有软集中缺失数据的填补方法,用来确定不完整信息的填补值。不同决策者的权重值由直觉模糊软集的距离来确定,参数的权重值由熵度量来确定。在群决策的过程中,借助直觉模糊软矩阵集成运算公式,将不同决策者的决策矩阵集成为综合决策矩阵。然后根据对象得分值的不同实现决策。最后,给出实例分析,验证了该方法在实际中有广泛的应用。

A Method of Group Decision Making of Intuitionistic Fuzzy Soft Set with Incomplete Information

In order to determine the method of multiple criteria group decision making of intuitionistic fuzzy soft set with incomplete information,the existing filling method of missed data in soft set is popularized in fuzzy soft set and intuitionistic fuzzy soft set at first,and the filled value of incomplete information is determined.And the weight of different decision makers and parameters is respectively confirmed by the distance and entropy measure of intuitionistic fuzzy soft set.In group decision making,decision making matrices of different decision makers are integrated into a comprehensive decision making matrix by the integration operation formula of intuitionistic fuzzy soft matrix.The decision making is realized according to the difference of the score values of objects.Finally,one example is given to proved that this method has wide application in practice.