中文摘要：

给出一种新广义混合比例平均（NGHPA）算子，并提出一种基于NGHPA算子的多属性群决策方法．理论分析表明：NGHPA算子同时推广了广义有序加权比例平均（GOWPA）算子和广义加权比例平均（GWPA）算子，它不仅反映了所给数据所处位置的重要性，而且还考虑了数据本身的重要性．此外，算子具有单调性、幂等性、有界性和置换不变性．最后，通过一个算例说明所提的方法是有效的、可行的．

英文摘要：

This paper presents a new generalized hybrid proportional averaging （NGHPA） operator, and then proposes a method for multiple attribute group decision making problems based on the NGHPA. The theoretical analyses shows that the NGHPA operator generalizes both the generalized weighted proportional averaging （GWPA） operator and the generalized ordered weighted proportional averaging （GOWPA） operator, and reflects the importance of both the given argument and the ordered position of the argument. Furthermore, we find that it is monotonic, idempotent, bounded and commutative. Finally, a numerical example is given to illustrate the validity and feasibility of the method proposed in this paper.