融合直觉梯形模糊集相似度的多准则决策模型研究  

Research on Fuzzy Multi-criteria Decision-making Model Based on Similarity of Intuitionistic Trapezoidal Fuzzy Sets

作　　者：曹吉祥 江文奇[2] CAO Ji-xiang;JIANG Wen-qi(The Third Construction Co.,Ltd.,of China Construction Eighth Engineering Division,Nanjing 210046,China;School of Economics and Management,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]中国建筑第八局第三建设有限公司,江苏南京210046 [2]南京理工大学经济管理学院,江苏南京210094

出　　处：《数学的实践与认识》2021年第21期191-197,共7页Mathematics in Practice and Theory

摘　　要：直觉梯形模糊集的模糊性加大了多准则决策模型设计的难度,模糊数转换和理想点法的处理技术可为直觉梯形模糊型多准则决策提供支持.在剖析直觉梯形模糊集的具体特征基础上,定义其期望值与离散度,通过其相似性度量因素的分析提出了直觉梯形模糊相似度刻画模型和具体性质,通过比较各个决策方案与理想参考方案的相似度实施综合评价,最后运用三个算例说明了方法的科学性和有效性.The fuzziness of intuitionistic trapezoidal fuzzy sets makes it more difficult to design multi criteria decision-making model.Fuzzy number transformation and ideal point method can provide support for intu itionistict rapezoidal fuzzy multi criteria decision-making。By analyzing specific characteristics of intuitionistic trapezoidal fuzzy sets,this paper defines its expec ted value and discrete degree.The description model and specific proper ties of in-tuitionistic trapezoidal fuzzy similarity are proposed based on their similarity measurement factors.By comparing the similarity bet ween each decision-making alternative and ideal reference alternative,comprehensive evaluation is put into practices。Finally,three examples are used to illustrate the feasibility and effectiveness of the proposed met hod.

关 键 词：多准则决策 直觉梯形模糊集 期望值 离散度 相似度 

分 类 号：O225[理学—运筹学与控制论] O159[理学—数学]