摘要
针对属性值是不平衡语言的多属性决策问题,提出了广义依赖型不平衡语言有序加权平均算子和加权广义依赖型不平衡语言有序加权平均算子.该类算子相关联的权重向量赋权的特点是对有偏见的评价赋予较小的权重,从而削弱不公平性对评价结果的影响,使决策结果更加合理.推导其数学表达式,探讨相关性质,并将其应用到多属性决策中.同时,分析了参数λ的变化对决策结果的影响.最后通过比较分析结果表明了所提出算子的有效性.
The generalized dependent unbalanced linguistic ordered weighted average（GDULOWA） operator and the weighted generalized dependent unbalanced linguistic ordered weighted average（WGDULOWA） operator are proposed based on multiple attribute decision making, in which attribute values take the form of unbalanced linguistic variables. The associated weights depend on the decision maker and the aggregated unbalanced linguistic variable, which can relieve the influence of unfair linguistic variables by assigning low weights to the biased ones, and make the decision results more reasonable. The concrete expressions of these operators are obtained by derivation, and some properties of these operators are investigated. These operators are applied to multi-attribute decision making. At the same time, the influence of different parameters λ on decision making is analyzed. The comparative analysis shows the effectiveness of the proposed generalized operators.
出处
《控制与决策》
EI
CSCD
北大核心
2017年第5期836-844,共9页
Control and Decision
基金
国家自然科学基金项目(71371011
71301001
71501002)
安徽大学研究生学术创新研究扶持项目(yfc100003)
安徽省高校优秀青年人才支持计划项目
安徽省自然科学基金项目(1508085QG149)
关键词
多属性决策
不平衡语言
广义依赖型算子
multiple-attribute decision： unbalanced linguistic variable, generalized dependent operator
