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L()-不分明化邻近结构和滤子
引用本文:蒋志勇.L()-不分明化邻近结构和滤子[J].华东交通大学学报,2009,26(3):85-87.
作者姓名:蒋志勇
作者单位:华东交通大学,基础科学学院,江西,南昌,330013
摘    要:本文基于连续值逻辑用语义方法定义了不分明化δ-邻近结构和不分明化滤子,并由不分明化δ-邻近结构给出了δ-不分明化邻域系的概念;证明了这种定义下的δ-不分明化邻域系构成不分明化滤子,得到了不分明化δ-邻近结构的可分离性与δ-不分明化邻域系Nx的T1、T0-可分离性的等价性。

关 键 词:不分明化  δ-邻近结构  不分明化滤子  δ-不分明化邻域系

L()-Fuzzifying Proximity Structure and Filter
JIANG Zhi-yong.L()-Fuzzifying Proximity Structure and Filter[J].Journal of East China Jiaotong University,2009,26(3):85-87.
Authors:JIANG Zhi-yong
Institution:JIANG Zhi-yong (School of Basic Sciences, East China Jiaotong University, Nanchang 330013, China)
Abstract:This article defines the fuzzifying δ-proximity structure and fuzzifying filter based on the continous value log ic with the semantic method, and gives the concept of the δ- fuzzifying neighborhood system by the fuzzifyingδ- proximity structure. It proves the δ-fuzzifying neighborhood system is the fuzzifying filter, obtains the fuzzifying if-proximity structure separability and T1, T0- separability equivalence of the δ-fuzzifying neighborhood system.
Keywords:fuzzifyingδ- proximity structure  fuzzifying filter  δ- fuzzifying neighborhood system
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