二型模糊决策理论与方法研究综述

Type-2 fuzzy decision-making theories and methodologies:A systematic review

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,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.鉴于此,对二型模糊决策理论与方法进行系统性综述,梳理该领域的发展脉络,阐明现有工作的研究态势,总结二型模糊信息集成与决策的主要研究成果.首先,介绍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展望.

The type-2 fuzzy set is a set produced by expanding the membership function of fuzzy set into the type-1 fuzzy set.With the advantage of expressing deeper uncertainty,it is able to greatly enhance the description of uncertainty in the objective world.Therefore,the research on decision-making theories and methods in the type-2 fuzzy environment has been booming in recent years.This paper systematically surveys type-2 fuzzy decision-making theories and methods,sorts the development of this field,clarifies the research trend of existing work,and summarizes the main research results of type-2 fuzzy information aggregation and decision-making.Firstly,the development process and fundamental theory research of the T2FS are introduced.Then,the research status of decision fundamental theories(information fusion theory,preference relation theory and measure theory)and decision methods based on type-2 fuzzy information are summarized respectively.Finally,prospects of future research directions of type-2 fuzzy decision-making theories and methods are presented.