二型模糊决策理论与方法研究综述
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武汉理工大学管理学院

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C934

基金项目:

国家自然科学基金资助项目(72071151, 71701158); 教育部人文社会科学基金 (17YJC630114); 湖北省自然 科学基金 (2020CFB773)


Type-2 fuzzy decision-making theories and methodologies: A systematic review
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School of Management, Wuhan University of Technology

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National Natural Science Foundation of China (72071151, 71701158); Ministry of Education in China Project of Humanities and Social Sciences (17YJC630114); Natural Science Foundation of Hubei Province (2020CFB773)

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    摘要:

    二型模糊集(Type-2 fuzzy set, T2FS)是将模糊集中的隶属函数拓展为一型模糊集而产生的集合, 由于其具有表示更深层次不确定性的优势, 能够极大程度地增强对客观世界不确定性的刻画能力. 因此, 近年来围绕二型模糊环境下的决策理论与方法研究得到了蓬勃发展. 本文对二型模糊决策理论与方法进行了系统性综述, 梳理了该领域的发展脉络, 阐明了现有工作的研究态势, 总结了二型模糊信息集成与决策的主要研究成果. 首先, 介绍了二型模糊集的发展历程和基础理论研究现状. 然后, 分别针对基于二型模糊信息的决策基础理论(信息融合理论、偏好关系理论和测度理论)以及决策方法的研究现状进行了概述. 最后, 对二型模糊决策理论与方法的未来研究方向进行了展望.

    Abstract:

    Type-2 fuzzy set (T2FS) is a set produced by expanding the membership function in fuzzy set (FS) into type-1 fuzzy set (T1FS). Because it has the advantage of expressing deeper uncertainty and can greatly enhance the ability to describe the uncertainty of the real world. Therefore, the research on decision-making theories and methodologies in type-2 fuzzy environment has been booming in recent years. This paper provides a systematic review of the development of type-2 fuzzy decision-making theories and methodologies, which is helpful to sort out the development context of this field, clarify the research trend of existing work, and lay a solid foundation for future research work. First, the development process and basic theoretical research status of T2FS are introduced.Then, the research status of decision-making fundamental theories (information fusion theory, preference relation theory, and measure theory) and decision-making methods based on type-2 fuzzy information are summarized respectively. Finally, prospects for future research directions of type-2 fuzzy decision-making theories and methodologies are presented.

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  • 收稿日期:2021-12-06
  • 最后修改日期:2022-03-22
  • 录用日期:2022-03-28
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