基于诱导型区间直觉模糊混合算子的群决策方法

Group decision making method based on induced interval-valued intuitionistic fuzzy hybrid operators

针对属性值以区间直觉模糊数形式给出的多属性群决策问题,提出了两种融合信息更加全面的诱导型区间直觉模糊混合集结算子.利用提出的区间直觉模糊数的熵值度量方法来确定诱导变量,并结合基于支持度的数值依赖型集结算子,通过综合考虑位置、数据自身重要性及信息包含量,提出了诱导型区间直觉模糊混合平均(Ⅰ-ⅡFHA)算子和诱导型区间直觉模糊混合几何(Ⅰ-ⅡFHG)算子,分析了相关性质,进而给出一种区间直觉模糊多属性群决策方法,实例研究表明了所研方法的适应性与有效性.

In this paper, an induced interval-valued intuitionistic fuzzy hybrid averaging （I-IIFHA）operator and an induced interval-valued intuitionistic fuzzy hybrid geometric （I-IIFHG） operator are proposed for interval- valued intuitionistic fuzzy multi-attribute group decision makings to utilize information more completely. Be- sides the position weighting information, the proposed I-IIFHA and I-IIFHG can also consider the argument- dependent weighting information by introducing the support degree based aggregation operator and the order- inducing vector information derived from an entropy calculation method for interval-valued intuitionistic fuzzy numbers. The desired properties are also analyzed. Further, an approach for interval-valued intuitionistic fuzzy multi-attribute group decision making is constructed based on I-IIFHA and I-IIFHG and an illustrative example is given to show the feasibility and practicality of our method.