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.
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.
出处
《广东工业大学学报》
CAS
2012年第3期23-27,共5页
Journal of Guangdong University of Technology
关键词
可拓集合
关联函数
矩阵运算
可拓等价
可拓变换
extension sets
correlated function
extension matrix
extension equivalence
extension transformation
