基于直觉语言集结算子的多准则决策方法

Multi-criteria decision-making method based on aggregation operators for intuitionistic linguistic fuzzy numbers

定义了直觉语言数及其运算法则、期望值、得分函数和精确函数以及直觉语言加权算术平均算子和加权几何平均算子.针对准则值为直觉语言数的多准则决策问题,提出了一种基于直觉语言集结算子的决策方法.该方法利用集结算子对准则进行集成,得到各方案的综合直觉语言数,通过比较各方案综合直觉语言数的得分函数值和精确函数值得到方案集的排序.实例分析表明了该方法的有效性和可行性.

Intuitionistic linguistic fuzzy numbers,as well as their operational laws,expected values,score function and accuracy function are defined.Some intuitionistic linguistic fuzzy aggregation operators are proposed,including weighted arithmetic averaging operator and weighted geometric averaging operator.For fuzzy multi-criteria decision making problems,in which the criteria values are intuitionistic linguistic fuzzy numbers,an approach based on intuitionistic linguistic fuzzy aggregation operators is proposed.By using these aggregation operators,criteria values are aggregated and integrated intuitionistic linguistic fuzzy numbers of alternatives are attained.By comparing score function and accuracy function values of integrated fuzzy numbers,a ranking of the whole alternative set can be attained.Analysis of an example shows the feasibility and effectiveness of the method.