针对模糊数据近似处理的阴影集研究综述  

Review of Shadowed Set for Fuzzy Data Approximation Processing

作　　者：高满 张清华[1,2,3,4] 王国胤 姚一豫 GAO Man;ZHANG Qing-Hua;WANG Guo-Yin;YAO Yi-Yu(School of Computer Science and Technology,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;Chongqing Key Laboratory of Computational Intelligence,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;“Tourism Multi-source Data Perception and Decision Technology”Key Laboratory of the Ministry of Culture and Tourism,Chongqing 400065,China;Key Laboratory of Cyberspace Big Data Intelligent Security,Ministry of Education,Chongqing 400065,China;National Center for Applied Mathematics in Chongqing,Chongqing Normal University,Chongqing 401331,China;Department of Computer Science,University of Regina,Regina S4S 0A2,Canada)

机构地区：[1]重庆邮电大学计算机科学与技术学院,重庆400065 [2]重庆邮电大学计算智能重庆市重点实验室,重庆400065 [3]“旅游多源数据感知与决策技术”文化和旅游部重点实验室,重庆400065 [4]网络空间大数据智能安全教育部重点实验室,重庆400065 [5]重庆师范大学重庆国家应用数学中心,重庆401331 [6]里贾纳大学计算机科学系,加拿大里贾纳S4S 0A2

出　　处：《自动化学报》2024年第10期1906-1927,共22页Acta Automatica Sinica

基　　金：国家重点研发计划(2021YFF0704101);国家自然科学基金(62276038,62221005);重庆市创新群体研究项目(cstc2019jcyjcxttX0002);重庆邮电大学博士人才培养计划(BYJS202109);重庆市教委重点合作项目(HZ2021008)资助。

摘　　要：阴影集(Shadowed set,SS)是一种对模糊集进行三支近似处理的不确定性知识发现模型,其能够对模糊集中具有精确值的不确定性对象进行有效的近似和划分,从而减少模糊决策过程中不确定性对象的决策划分成本和计算损耗.首先,回顾阴影集的发展历程,并从四个方面介绍其研究现状及内容,即阴影集的模型构建、理论性质、数据分析以及应用研究.通过总结分析它们的核心思想、方法体系、相互关系和区别等,为该领域的后续研究提供借鉴.随后,讨论分析阴影集理论与其他不确定性问题处理理论模型的联系,尤其是阴影集与模糊集、粗糙集和三支决策理论之间的区别、联系以及互补性.最后,围绕上述四个研究方面,对当前若干具有挑战性的研究问题进行分析和展望.Shadowed set(SS)is a kind of uncertain knowledge discovery model which carries out three-way approximate processing on fuzzy sets.It can effectively approximate and partition the uncertain objects with precise values in fuzzy sets,so as to reduce the decision partitioning cost and calculation loss of uncertain objects in fuzzy decision-making process.Firstly,the development of shadowed set is reviewed,and introduces its research status and content from four aspects:Model construction,theoretical properties,data analysis and application research.By summarizing and analyzing their core ideas,methodological systems,interrelationships,and differences,etc.,this paper provides reference for subsequent research in this field.Subsequently,the connection between shadowed set theory and other uncertainty problem handling theoretical models is discussed and analyzed,especially the differences,connections and complementarities between shadowed set and fuzzy sets,rough sets,and three-way decision theories.Finally,based on the above four research aspects,some current challenging research problems are analyzed and prospected.

关 键 词：阴影集 模糊集 三支决策 不确定性 粒计算 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]