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相容关系与相容核
引用本文:程家兴,陈万里,宋杰.相容关系与相容核[J].安徽大学学报(自然科学版),2004,28(4):1-4.
作者姓名:程家兴  陈万里  宋杰
作者单位:安徽大学,计算智能与信号处理教育部重点实验室,安徽,合肥,230039
摘    要:给定论域上的相容关系,本文提出了相容核的概念。较之于相容关系的最大相容类,相容核是一个局部化的相容类。我们还讨论了有关相容核的若干数学性质,并且给出了相容关系与其相应的相容核族之间相互唯一确定的充分必要条件。

关 键 词:相容关系  相容核  最大相容类
文章编号:1000-2162(2004)04-0001-04
修稿时间:2003年11月18日

Compatibility relation and compatibility kernel
CHENG Jia-xing,CHEN Wan-li,SONG JieMinistry of Education,Anhui University,Hefei,China.Compatibility relation and compatibility kernel[J].Journal of Anhui University(Natural Sciences),2004,28(4):1-4.
Authors:CHENG Jia-xing  CHEN Wan-li  SONG JieMinistry of Education  Anhui University  Hefei  China
Institution:CHENG Jia-xing,CHEN Wan-li,SONG JieMinistry of Education,Anhui University,Hefei230039,China)
Abstract:In this paper, give a compatibility relation on the universal,we present the concept of the compatibility kernel, which is a localized compatibility block compared with the maximal compatibility block. Some mathematical properties, which are relevant to compatibility kernel, are discussed and a sufficient and necessary condition, under which the family of compatibility kernels and the compatibility relation are mutually determined from each other, is also presented.
Keywords:compatibility relation  compatibility kernel  maximal compatibility block
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