基于直觉语言集结算子的多准则决策方法

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,得到再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.

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

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.