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基于交叉影响的直觉模糊多属性群决策方法及其应用
Intuitionistic Fuzzy Multi-attribute Group Decision Making method based on the interactions between membership function and non-membership function of different intuitionistic fuzzy sets
【Author】 HE Yingdong CHEN Huayou ZHOU Ligang Liu Jinpei 1.School of Mathematical Science,Anhui University, Hefei Anhui,230601; 2.School of Business,Anhui university,Hefei Anhui, 230601
【机构】 安徽大学数学科学学院; 安徽大学商学院;
【摘要】 考虑到不同直觉模糊集的隶属度与非隶属度之间可能存在着某些关联和相互影响,本文提出了直觉模糊加权交叉影响平均算子的概念,并针对直觉模糊信息,给出了基于交叉影响的直觉模糊多属性群决策的方法和步骤。通过实例分析,我们把本文提出的方法与现有的直觉模糊多属性决策方法进行了比较,结论表明新的直觉模糊多属性决策方法具有可行性和有效性。
【Abstract】 This paper develops a new intuitionistic fuzzy multi-attribute group decision making method based on the interactions between membership function and non-membership function of different intuitionistic fuzzy sets.We propose the intuitionistic fuzzy weighted interaction average operator.In the meantime,we give the procedure and steps for the group decision making problems based on the proposed operator.An example is illustrated to show the feasibility and validity of the new operator in the application of group decision making problems.We also make a comparison between the method by this paper and the corresponding existing one.
【Key words】 intuitionistic fuzzy set; intuitionistic fuzzy weighted interaction average operator; multi-attribute group decision making;
- 【会议录名称】 第十一届中国不确定系统年会、第十五届中国青年信息与管理学者大会论文集
- 【会议名称】第十一届中国不确定系统年会、第十五届中国青年信息与管理学者大会
- 【会议时间】2013-07-27
- 【会议地点】中国河北邯郸
- 【分类号】C934
- 【主办单位】中国运筹学会不确定系统分会