二元语义处理不同偏好评价信息的群决策方法

针对具有序关系值、效用值、互反判断矩阵、互补判断矩阵、区间模糊数、三角模糊数六种不同偏好评价信息的群决策问题，根据偏好信息的实际意义，通过转换函数将不同偏好信息一致化为二元语义判断矩阵形式，阐明转化方法的合理性与有效性，采用二元语义加权算术平均（T-WAA）算子集结转化后的二元语义判断矩阵，得到群体二元语义判断矩阵，基于二元语义有序加权平均（T-OWA）算子计算某方案优于其他所有方案的整体偏好程度，从而对方案排序择优。算例分析表明该群决策方法的有效性与合理性。

Group decision making method based on two-tuple linguistic with different forms of preference evaluation information

The group decision making problem with six forms of preference evaluation information is proposed, the preference evaluation information are preference ordering of the alternatives, utility values, fuzzy judgement matrix, multiplicative judgement matrix, interval fuzzy numbers and triangular fuzzy numbers, from the definition of preference information, transforming different forms of preference information to two-tuple linguistic judgement matrices with transformation functions, effectiveness and rationality of the transformation are demonstrated, the Two-tuple linguistic Weighting Arithmetic Average（T-WAA） operator is utilized to aggregate the transformed two-tuple linguistic judgement matrices, then the group two-tuple linguistic judgement matrix is obtained, based on the Two-tuple Ordered Weighting Average（T-OWA） operator, the entirety preference level of one alternative superior to all the other alternatives is calculated, the rank list of alternatives is the final conclusion. An illustrative example analysis shows the effectiveness and feasibility of this approach.