系统科学与数学2024,Vol.44Issue(4) :935-961.DOI:10.12341/jssms23512

基于对偶自信双层语言偏好关系的多属性群决策方法

An Integrated Decision-Making Method Based on Duality-Confident Double Hierarchy Linguistic Preference Relation

高建伟 黄宁泊 缑迅杰 高芳杰 赵舒通 熊超
系统科学与数学2024,Vol.44Issue(4) :935-961.DOI:10.12341/jssms23512

基于对偶自信双层语言偏好关系的多属性群决策方法

An Integrated Decision-Making Method Based on Duality-Confident Double Hierarchy Linguistic Preference Relation

高建伟 1黄宁泊 1缑迅杰 2高芳杰 1赵舒通 1熊超3
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作者信息

  • 1. 华北电力大学经济与管理学院,北京 102206;华北电力大学新能源与低碳发展研究北京市重点实验室,北京 102206
  • 2. 四川大学商学院,成都 610065
  • 3. 湖南工商大学数字传媒工程与人文学院,长沙 410205
  • 折叠

摘要

针对自信双层语言中"自信度"主观性较强、缺乏对应调节机制等问题,提出了一种新型决策语言术语和基于对偶自信双层语言偏好关系的多属性群决策方法.首先,引入社会网络法获取专家间"信任关系"矩阵,考虑信任传递的全面性和信息失真情况,采用OWA算子和最短链路原则补全"信任关系".其次,耦合"信任关系"和自信双层语言创建对偶自信双层语言,拓展对偶自信双层语言偏好关系,研究其一致性及共识性指标,并构建对偶自信双层语言的反馈调节机制.进而,利用反馈调节机制中调节后"自信度"和"他信度"指标构建新的专家赋权模型.最后,结合反馈调节机制和专家赋权模型,提出对偶自信双层语言偏好关系的多属性群决策方法.通过湖南省新能源投资项目分析,验证了方法的适用性和有效性.

Abstract

To solve the problems of high subjectivity of"self-confidence"and lack of correspondence moderation mechanism in the self-confident double hierarchy lin-guistic,proposing a new decision-making term based on the self-confidence double hierarchy linguistic and a multi-attribute group decision-making method based on the preference relationship of the duality-confident double hierarchy linguistic preference relation is developed.Firstly,using the social network method to acquire the"trust-relationship"between experts is completed by considering the OWA operator and the shortest link principle,coupling the"trust-relationship"and the self-confidence double hierarchy linguistic to create the duality-confident double hierarchy linguistic,expanding the duality-confident double hierarchy linguistic preference relation,and study its consistency and consensus indicators.Secondly,the feedback adjustment mechanism of the duality-confident double hierarchy linguistic is constructed.Then a new expert empowerment model is constructed for the adjusted"self-confidence"and"credibility"indicators in the duality-confident double hierarchy linguistics.Finally,combined with the feedback moderation mechanism and expert empowerment model,a multi-attribute group decision-making method is proposed based on the duality-confident double hierarchy linguistic preference relationship.Through the analysis of renewable energy investment projects in Hunan Province,the applicability and effectiveness of the method are verified.

关键词

对偶自信双层语言偏好关系/他信度/自信度调节方法/双层语言术语

Key words

Duality-confidence double hierarchy linguistic preference relation/cred-ibility/integrated confidence moderation algorithm/double hierarchy linguistics

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基金项目

国家自然科学基金(72071076)

国家社会科学基金后期资助项目(22FGLB005)

教育部人文社会科学研究青年基金(21YJC630030)

中国博士后科学基金(2023T160459)

出版年

2024
系统科学与数学
中国科学院数学与系统科学研究院

系统科学与数学

CSTPCDCSCD北大核心
影响因子:0.425
ISSN:1000-0577
参考文献量38
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