一种不确定型OWGA算子及其在决策中的应用

Uncertain ordered weighted geometric averaging operator and its application to decision making

把有序加权几何平均(OWGA)算子推广到所给定的数据信息均为区间数形式的不确定环境之中,基于区间数两两比较的可能度公式和模糊互补判断矩阵公式,提出了一种不确定有序加权几何平均(UOWEGA)算子,给出了其在应用过程中的具体步骤,并提出了一种相应的集结决策信息的方法。最后通过算例说明了方法的可行性和有效性。

The ordered weighted geometric averaging (OWGA) operator is extended to accommodate uncertain condition where all input arguments take the forms of interval numbers. Firstly, the possibility degree formula for the comparison between interval numbers is introduced. Then, based on the formula and the priority method of fuzzy preference matrix, an uncertain OWGA operator and its application procedure are proposed, and a method based on the uncertain OWGA operator for aggregating information in decision making is presented. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed method.