关键词: 多属性群决策, 灰色模糊数, 信息熵, 区间灰色不确定语言变量, 几何集结算子

Abstract: With respect to multi-attribute group decision making problems, where the attribute values take the form of the interval grey uncertain linguistic variables, three kinds of geometric aggregation operators are given based on the definition and operation rules of interval grey uncertain linguistic variables. According to interval grey uncertain linguistic weighted geometric aggregation operator, evaluation matrices which are given by all decision makers are aggregated to the group evaluation matrix. In the case of known attribute weights information, attribute weights vectors which are given by every decision maker are aggregated to the group attribute weights vector; when the attribute weights are unknown completely, the attribute weights are determined based on information entropy method. All attribute values of alternatives are concentrated by interval grey uncertain linguistic hybrid weighted geometric aggregation operator, then comprehensive evaluation values of alternatives are received, the rank results of alternatives are obtained based on one comparison of the interval grey uncertain linguistic variables. Finally, an illustrative example analysis shows the effectiveness and feasibility of the proposed method.

Key words: multi-attribute group decision making, grey fuzzy number, information entropy, interval grey uncertain linguistic variables, geometric aggregation operator