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浙江大学学报（理学版）
浙江大学学报（理学版）  2020, Vol. 47 Issue (6): 705-714    DOI: 10.3785/j.issn.1008-9497.2020.06.008
数学与计算机科学     
直觉正态模糊数Choquet积分算子及其决策应用
常娟, 杜迎雪, 刘卫锋
郑州航空工业管理学院 数学学院，河南 郑州, 450046
Intuitionistic normal fuzzy number Choquet integral operators and their application on decision making
CHANG Juan, DU Yingxue, LIU Weifeng
School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China
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摘要： 针对属性间存在关联且属性值为直觉正态模糊数的多属性决策问题，利用模糊测度λ，在直觉正态模糊数运算的基础上，构建了直觉正态模糊数Choquet积分平均（INFCA）算子和直觉正态模糊数Choquet积分几何（INFCG）算子，并探讨了这些算子的性质和特殊形式。通过构建线性规划模型，提出了一种确定各属性子集模糊测度λ的方法，进而给出了基于直觉正态模糊数Choquet积分（INFC）算子的多属性决策方法（MADM）。最后，通过实例验证了方法的可行性和有效性。
关键词： 直觉正态模糊数;  INFCA算子;  INFCG算子;  决策;  Choquet积分    
Abstract: For the multiple attribute decision making problem in which there exists interaction among the decision making attributes and the attribute values are of the form of intuitionistic normal fuzzy number, by using the fuzzy measure λ, the intuitionistic normal fuzzy number Choquet integral average (INFCA) operator and the intuitionistic normal fuzzy number Choquet integral geometric (INFCG) operator are proposed based on the operation of the intuitionistic normal fuzzy numbers. The properties and some special forms of the above operators are discussed. By constructing a linear programming model, a method for determining the fuzzy measure of each attribute subset is also proposed, and a multi-attribute decision method (MADM) based on the intuitionistic normal fuzzy number Choquet integral (INFC) operators is presented. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.
Key words: intuitionistic normal fuzzy numbers    INFCA operator    INFCG operator    decision making    Choquet integral
收稿日期: 2018-01-31 出版日期: 2020-11-25
CLC:  C934  
基金资助: 国家自然科学基金资助项目(11501525)；河南省高等学校重点科研项目(20A110035)；河南省高等学校重点科研项目计划基础研究专项(20zx003).
作者简介: 常娟（1979—），ORCID:http：//orcid.org/0000-0002-6576-1957,女，硕士，讲师，主要从事模糊数学、决策理论研究,E-mail: zziacj@126.co；
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引用本文:

常娟, 杜迎雪, 刘卫锋. 直觉正态模糊数Choquet积分算子及其决策应用[J]. 浙江大学学报（理学版）, 2020, 47(6): 705-714.

CHANG Juan, DU Yingxue, LIU Weifeng. Intuitionistic normal fuzzy number Choquet integral operators and their application on decision making. Journal of Zhejiang University (Science Edition), 2020, 47(6): 705-714.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2020.06.008    或    https://www.zjujournals.com/sci/CN/Y2020/V47/I6/705

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