连续区间广义power多重集结算子及在群决策中的应用

摘要

针对不确定区间信息的集成问题，提出了连续区间广义power多重平均（ C-GPMA）算子和连续区间广义power有序加权多重平均（ C-GPOWMA）算子，研究了这些算子的性质，并讨论C-GPMA算子和C-GPOWMA算子的算子族。在此基础上，提出一种属性权重未知且属性值以不确定区间数形式给出的多属性群决策方法。最后，通过算例说明此方法在不确定多属性群决策中的应用，结果表明该方法是有效的、可行的。%Focusing on the uncertain interval information aggregating problem , a continuous interval generalizedpower multiple averaging (C-GPMA) operator and a continuous interval generalized power ordered weighted multi -ple averaging (C-GPOWMA) operator are presented, and their properties studied and their families discussed .Based on this, a method for solving multiple attribute group decision problems is developed , in which the weightingvector of attributes is unknown and the values of attributes take the form of the uncertain interval numbers .Finally,the paper shows the application of this method into uncertain multiple attribute group decision making by the exam -ples.The results show that the method is effective and feasible .