节点文献
一种基于区间灰色语言变量几何加权集成算子的多属性群决策方法
Multi-attribute group decision making method based on interval grey linguistic variables weighted geometric aggregation operator
【摘要】 针对属性值和属性权重均为区间灰色语言变量的多属性群决策问题,提出一种基于区间灰色语言变量的加权几何集成算子的多属性群决策方法.首先,给出区间灰色语言变量的定义和运算规则;然后详细介绍了区间灰色语言变量加权几何集成算子、区间灰色语言变量有序加权几何集成算子、区间灰色语言变量混合加权几何集成算子,以及利用这些算子进行群决策的方法;最后,通过实例说明了所提出方法的决策步骤,并验证了方法的有效性.
【Abstract】 A method based on the interval grey linguistic variables weighted geometric aggregation operator is presented to solve the multiple attribute group decision making problems,in which the attribute values and the weights take the form of the interval grey linguistic variables(IGLV).Firstly,some properties are defined,such as the concept and the relational calculation rules of IGLV.Then,some operators are defined,such as interval grey linguistic weighted geometric aggregation operator,interval grey linguistic ordered weighted geometric aggregation operator,and interval grey linguistic hybrid weighted geometric aggregation operator,which are utilized to solve the group decision making problems.Finally,an illustrate example shows the decision-making steps and the effectiveness of this method.
【Key words】 grey fuzzy number; interval grey linguistic variables; the interval grey linguistic variables hybrid weighted geometric aggregation operator; multi-attribute group decision making;
- 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2011年05期
- 【分类号】C934;F224
- 【被引频次】36
- 【下载频次】730