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模糊粗糙集的扩张定理
引用本文:孔平,张振良.模糊粗糙集的扩张定理[J].昆明理工大学学报(理工版),2003,28(6):151-153.
作者姓名:孔平  张振良
作者单位:昆明理工大学,理学院,云南,昆明,650093
摘    要:模糊粗糙集(FR)是基于知识的不确定性提出来的,由于其处理信息系统中知识的不完善、不确定问题较粗糙集和模糊集有其自身的优点,近年来模糊粗糙集理论越来越受到国际学术界的关注,文章所讨论了模糊粗糙变换的性质并用模糊粗糙变换的保并性质证明了模糊粗糙集的扩张定理。

关 键 词:模糊粗糙集  扩张定理  FR  不确定性  信息系统  模糊粗糙变换
文章编号:1007-855X(2003)06-0151-03

Extension Theorem of Fuzzy Rough Sets
KONG Ping,ZHANG Zheng liang.Extension Theorem of Fuzzy Rough Sets[J].Journal of Kunming University of Science and Technology(Natural Science Edition),2003,28(6):151-153.
Authors:KONG Ping  ZHANG Zheng liang
Abstract:Fuzzy rough sets are raised based on the uncertainty of knowledge. Because they have many advantages in dealing with the imperfect and uncertain problems, they have been paid much attention by international academic circles compared to fuzzy sets and rough sets,. The properties of the fuzzy rough conversion are discussed and the extension theorem of fuzzy rough sets is proved based on the protection combination property of the fuzzy rough conversion.
Keywords:fuzzy sets  rough sets  fuzzy rough conversion  fuzzy rough sets
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