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可拓集合运算的矩阵表示
引用本文:李晓琳,邱卫根.可拓集合运算的矩阵表示[J].广东工业大学学报,2012(3):23-27.
作者姓名:李晓琳  邱卫根
作者单位:广东工业大学计算机学院,广东广州510090
摘    要:研究了可拓集集合运算的矩阵表示问题.首先在可拓集中定义了一类交、并、补运算并证明其满足一系列性质,然后将论域集限定在有限集范畴,引入可拓关系的矩阵表示,讨论了复合可拓关系、可拓变换及其可拓等价的性质.

关 键 词:可拓集合  关联函数  矩阵运算  可拓等价  可拓变换

The Matrix Representation of the Extension Set Operation
Li Xiao-Lin,Qiu Wei-gen.The Matrix Representation of the Extension Set Operation[J].Journal of Guangdong University of Technology,2012(3):23-27.
Authors:Li Xiao-Lin  Qiu Wei-gen
Affiliation:( Faculty of Computer Science, Guangdong University of Technology, Guangzhou 510090, China)
Abstract:The extension set is a new set approach to the resolution of the contradictory and non-compatible problems. It mainly investigates the matrix representation of the extension set operation. First, some operations such as set intersect n ,set union U and set complement C, based on the max and min of the absolute value, were introduced to extension sets, and their serial properties were also proved. Then, the matrix representation of extension transformations was defined on the finite extension set universe, and some properties of the composition extension relations, extension transformation and extension equivalence were discussed.
Keywords:extension sets  correlated function  extension matrix  extension equivalence  extension transformation
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