摘要
针对指标权重未知的混合型多属性决策问题,提出一种基于二元语义的决策方法.首先,定义了语言评价变量与三角模糊数的转化规则和二元语义之间的距离,给出了不同类型指标数据与二元语义的转化;然后,利用与正理想解灰色关联度偏差最小原理,确定了属性的指标权重,并利用二元语义加权算术平均值对方案进行排序;最后,通过应用案例说明了所提方法的决策步骤,并与TOPSIS方法进行了比较,表明了所提方法的有效性和优越性.
An approach based on 2-tuple is presented to solve the hybrid multiple attribute decision making problem with weight information unknown. First, transformation rules between linguistic variables and triangular fuzzy numbers, and distance between 2-tuple linguistics are defined. Then the transformation method between 2-tuple linguistic and different forms of indicator values is given. Besides, according to grey incidence minimum deviation theory of positive ideal solution, the weights of indicators are determined, and alternatives are ranked by 2-tuple linguistic weighting arithmetic average values. Finally, an example illustrates demonstrate the procedure of the method and compares the proposed method with TOPSIS method to show the effectiveness and advantages of the presented method.
出处
《控制与决策》
EI
CSCD
北大核心
2009年第7期1074-1077,1082,共5页
Control and Decision
基金
教育部新世纪优秀人才支持计划(NCET-05-0095)
山东省自然科学基金项目(Y2007H23)
关键词
混合型决策
二元语义
语言评价集
Hybrid decision making
2-tuple
Linguistic evaluation set
