P-关系与它的度量特征

J4 ›› 2010, Vol. 45 ›› Issue (12): 112-116.

P-关系与它的度量特征

谢维奇^{1, 2},张丽²,李豫颖^2,3

1.驻马店职业技术学院信息工程系, 河南驻马店 463000; 2.山东大学数学学院, 山东济南 250100;
3.宁德师范学院计算机与信息工程系, 福建宁德 352100

收稿日期:2010-04-27 出版日期:2010-12-16 发布日期:2011-03-16
作者简介:谢维奇(1973-),男,高级讲师,硕士,研究方向为数据挖掘,信息系统理论及应用.Email:zmdvich@yahoo.com.cn
基金资助:
山东省自然科学基金资助项目(Y2007H02)；福建省自然科学基金资助项目(2009J01294)

P-relation and its metric characteristic

XIE Wei-qi^1,2, ZHANG Li², LI Yu-ying^2,3

1. Department of Information Engineering, Zhumadian Vocational and Technical College, Zhumadian 463000, Henan, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
3. Department of Computer and Information Engineering, Ningde Normal University, Ningde 352100, Fujian, China

Received:2010-04-27 Online:2010-12-16 Published:2011-03-16

摘要/Abstract

摘要：

利用P-集合,给出P-关系的概念与结构、相关运算及P-关系的数值度量,提出P-关系度量离散区间收缩定理和P-关系生成-恢复定理,最后给出P-关系在信息辨识中的应用。

关键词: P-集合;P-关系;度量离散区间;交换半群;信息辨别

Abstract:

Based on P-sets, the concept and structure of P-relation are generated, and operation with respect to it and its value metric are given. Also, the contraction theorem of degree discrete interval of P-relation as well as generation-recovery theorem of P-relation are proposed. Finally, application of P-relation in information identification is given.

Key words: P-sets; P-relation; discrete interval of the degree; commutative semigroups; information identification

谢维奇1, 2,张丽2,李豫颖2,3. P-关系与它的度量特征[J]. J4, 2010, 45(12): 112-116.

XIE Wei-qi1,2, ZHANG Li2, LI Yu-ying2,3. P-relation and its metric characteristic[J]. J4, 2010, 45(12): 112-116.

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