摘要
属性间的关联性破坏了独立多属性决策信息的测度可加性,为了更客观地反映决策者的决策意图,更准确地融合决策信息,同时提升算子对决策属性的描述能力,定义了三角犹豫直觉模糊数新的比较规则,引入模糊测度及Choquet积分定义了三角犹豫直觉模糊关联有序加权几何平均算子(R-THIOWGA),并构建了R-THIOWGA的数学模型,证明了R-THIOWGA幂等性、有序单调性、有界性等算子性质.以R-THIOWGA集成算子为基础,提出了模糊关联多属性问题群决策方法,并应用于我国海军远海维修保障平台选型的算例分析.研究结果表明,应用R-THIOWGA算子及基于R-THIOWGA的群决策方法解决模糊关联多属性决策问题是可行的、有效的.
Relevance among the attributes destroys the additive measure in decision-making with independent fuzzy multiple attributes.In order to express the intention of decision makers and integrate the information of decision more accurately,and improve the ability of the operator to describe the decision attributes,a new comparison rule of the triangular hesitate intuitionistic fuzzy number is presented in this paper,and a related triangular hesitate intuitionistic ordered weighted geometric average(R-THIOWGA)operator is constructed based on the fuzzy measure and Choquet integral.And then the characters,like idempotence,ordered monotonicity and boundedness of the R-THIOWGA are proven.A group decision-making method for questions with related fuzzy multiple attributes is proposed based on the R-THIOWGA and then analysis in a practical application.The results show that the R-THIOWGA operator and the group decision making method are effective and feasible in solving decision making problems with related fuzzy multiple attributes.
作者
许小卫
谢新连
李猛
赵家保
XU Xiao-wei;XIE Xin-lian;LI Meng;ZHAO Jia-bao(Integrated Transport Institute,Dalian Maritime University,Dalian 116026,Liaoning,China)
出处
《交通运输系统工程与信息》
EI
CSCD
北大核心
2019年第1期6-12,25,共8页
Journal of Transportation Systems Engineering and Information Technology
基金
国家重点研发计划(2017YFC0805309)
中央高校基本科研业务费专项资金(3132016358)~~
关键词
系统工程
群决策方法
关联模糊多属性
三角犹豫直觉模糊集
有序加权几何平均算子
systems engineering
group decision-making method
related fuzzy multi-attributes
triangle hesitate intuitionistic fuzzy set
order weighted geometric average operator
