基于广义直觉语言算子的多属性群决策方法

针对属性权重未知,属性值为直觉语言数的多属性决策问题,提出了一种基于直觉语言熵和广义直觉语言算子的群决策方法.定义了直觉语言熵,并利用直觉语言熵确定属性权重,提出了三种直觉语言算子:广义直觉语言加权几何平均(GILWGA)算子、广义直觉语言有序加权几何(GILOWG)算子及广义直觉语言混合几何(GILHG)算子.利用GILWGA和GILHG算子集结信息,采用基于直觉语言数的得分函数及精确函数进行方案排序与择优,最后通过一个算例说明了该方法的有效性和合理性.

Multi-criteria Group Decision Making Method Based on Generalized Intuitionistic Linguistic Operators

For multi-criteria group decision-making problem, in which the attribute weights are unknown, and the attribute value of alternatives is in the form of intuitionistic linguistic number, a group decision making method based on intuitionistic linguistic entropy and generalized intuitionistic linguistic operators is proposed. First, the intuitionistic linguistic entropy is defined and used to determine the attribute weights. Then three generalized intuitionistic linguistic operators are introduced,including the generalized intuitionistic linguistic weighted geometric averaging (GILWGA) operator, the generalized intuitionistic linguistic ordered weighted geometric (GILOWG) operator and the generalized intuitionistic linguistic hybrid geometric (GILHG) operators, and the GILWGA and GILHG operator are used to aggregate information. Furthermore, using the score function and accuracy function based on the intuitionistic linguistic numbers to sort the alternatives and obtain the best alternative. Finally, an illustrative example is given to demonstrate the feasibility and validity of the developed method.