连续拟有序加权几何算子及其群决策应用

将拟有序加权几何算子（QOWG）推广至连续区间数上，提出了连续QOWG算子（CQOWG），探讨了其特殊情况和相关性质.其次，定义了CQOWG算子的orness测度，研究了orness测度的性质.然后，定义了加权连续QOWG算子（WCQOWG）、有序加权连续QOWG算子（OWCQOWG）以及组合连续QOWG算子（CCQOWG），并讨论了它们的性质.最后，提出了基于连续QOWG算子的多属性群决策方法，并通过决策实例说明其可行性与有效性.

Continuous quasi-ordered weighted geometric operator and its application to group decision making

The multi-attribute group decision-making is discussed, in which the attribute weights and the decision-maker are known, with the attribute values expressed by interval numbers. Motivated by the idea of quasi-ordered weighted geometric operator(QOWG), some QOWG operators for aggregating interval numbers are developed. Firstly, the QOWG operator is extended to the case in which the input argument is a continuous interval number, and the continuous QOWG operator (CQOWG) is defined. The special cases and some features of the CQOWG operator are discussed. Then, the orness measure of the CQOWG operator is defined, and its properties are also investigated. Further, the weighted continuous QOWG operator (WCQOWG), the ordered weighted continuous QOWG operator(OWCQOWG) and the combined continuous QOWG operator(CCQOWG) are proposed, and the properties of these operators are also discussed. Finally, an approach for multi-attribute group decision-making based on continuous QOWG operator is presented, and a practical example is given to verify the proposed methods and to demonstrate their feasibility and effectiveness.