运筹与管理 ›› 2021, Vol. 30 ›› Issue (3): 71-75.DOI: 10.12005/orms.2021.0077

• 理论分析与方法探讨 • 上一篇    下一篇

基于因素空间理论的犹豫模糊群决策

吕金辉1,2, 郭嗣琮2   

  1. 1.淮南师范学院 经管学院, 安徽 淮南 232038;
    2.辽宁工程技术大学 智能工程与数学研究院, 辽宁 阜新 123000
  • 收稿日期:2017-03-24 出版日期:2021-03-25
  • 作者简介:吕金辉(1984-), 男, 博士研究生, 研究领域:因素空间、模糊决策; 郭嗣琮(1951-), 男, 教授, 博士生导师, 研究领域:模糊分析学、模糊预测与决策。
  • 基金资助:
    国家自然科学基金资助项目(61350003); 安徽省高校人文社科重点项目(SK2020A0423)

Hesitant Fuzzy Group Decision Making Based on Factor Space Theory

LV Jin-hui1,2, GUO Si-cong2   

  1. 1. School of Economics and Management, Huainan Normal University, Huainan 232038, China;
    2. Institute of Intelligence Engineering and Mathematics, Liaoning Technical University, Fuxin 123000, China
  • Received:2017-03-24 Online:2021-03-25

摘要: 为了更充分的利用数据信息, 本文提出了以犹豫模糊集作为概念的反馈外延.进而给出了考虑犹豫度的犹豫模糊集间的关系与运算; 基于此运算, 定义了模糊概念的外延包络, 并利用包络来集结多因素的偏好信息, 最后给出群决策步骤, 并通过实例对上述理论方法进行了应用。

关键词: 因素空间, 表现外延, 反馈外延, 犹豫模糊集, 群决策

Abstract: To make full use of data information, in this paper we propose hesitant fuzzy set as feedback extension of concept. Then, the relationship and operation of the hesitant fuzzy sets, considered as the hesitancy degree, are given; Based on this operation, the extension envelope of fuzzy concept is defined, and the preference information is gathered by using it. At last, the group decision making procedure is given and the above theory is applied in example.

Key words: factor space, representation extension, feedback extension, hesitant fuzzy set, group decision making

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