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复杂信任网络群组综合评价方法及应用研究
引用本文:曾守桢,顾佳星,叶军. 复杂信任网络群组综合评价方法及应用研究[J]. 商业经济与管理, 2022, 42(11): 84-100. DOI: 10.14134/j.cnki.cn33-1336/f.2022.11.007
作者姓名:曾守桢  顾佳星  叶军
作者单位:1.宁波大学 商学院2.宁波大学 土木工程与地理环境学院
基金项目:国家社会科学基金重点项目;浙江省哲学社会科学领军人才培育重大项目;全国统计科研重点项目;宁波大学教学改革重点项目
摘    要:考虑评价环境的复杂不确定性、评价专家的信任行为特征以及群组专家的共识等问题,提出了一种区间Fermatean模糊信任网络群组综合评价方法。首先,针对区间Fermatean模糊评价信息的集成问题,提出了区间Fermatean模糊信息的运算规则,并在此基础上提出了一种区间Fermatean模糊Frank集成方法。其次,考虑到评价专家间信任关系对专家权重和共识达成的影响,构建了基于语言术语的信任网络以计算专家权重,同时设计了个性化反馈机制,进而构建了信任共识交互模型以提高群组共识度。此外,针对评价指标权重未知的情形,提出了区间Fermatean模糊熵权法获取指标权重。最后,通过高校商科类本科生统计设计能力的评价问题验证所提出方法的可行性和优越性。

关 键 词:区间Fermatean模糊集  Frank算子  信任关系  群组评价  统计设计能力  
收稿时间:2022-04-01

Research on Group Comprehensive Evaluation Method of Complex Trust Network and Its Application
ZENG Shouzhen,GU Jiaxing,YE Jun. Research on Group Comprehensive Evaluation Method of Complex Trust Network and Its Application[J]. Business Economics and Administration, 2022, 42(11): 84-100. DOI: 10.14134/j.cnki.cn33-1336/f.2022.11.007
Authors:ZENG Shouzhen  GU Jiaxing  YE Jun
Affiliation:1.School of Business, Ningbo University2.School of Civil & Environmental Engineering and Geography Science, Ningbo University
Abstract:Considering the complex uncertainty of the existing evaluation environment, the trust behavior characteristics among evaluation experts and the consensus of group experts, a group comprehensive evaluation method based on interval Fermatean fuzzy trust network is proposed. Firstly, aiming at the integration of interval Fermatean fuzzy evaluation information, the operation rules of interval Fermatean fuzzy information are proposed, and on the basis of which, an interval Fermatean fuzzy Frank integration method is proposed. Secondly, considering the influence of the trust relationship between evaluation experts on expert weights and consensus, a trust network based on language terms is constructed to calculate expert weights. At the same time, a personalized feedback mechanism is designed, and then a trust consensus interaction model is constructed to improve the group consensus. In addition, for the case of unknown evaluation index weight, an interval Fermatean fuzzy entropy weight method is proposed to obtain the index weight. Finally, the feasibility and superiority of the proposed method are verified by the evaluation of the statistical design ability of business undergraduates in universities.
Keywords:interval Fermatean fuzzy set  Frank operator  trust relationship  group evaluation  statistical design ability  
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