内P-集合的代数性质

J4 ›› 2011, Vol. 46 ›› Issue (3): 69-72.

内P-集合的代数性质

谢维奇^1,2,刘道广¹,张丽²

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

收稿日期:2010-07-07 发布日期:2011-04-21
作者简介:谢维奇(1973- ),男,高级讲师,硕士,研究方向为数据挖掘、信息系统理论与应用.Email:zmdvich@yahoo.com.cn
基金资助:
山东省自然科学基金资助项目(Y2007H02)

The algebraic properties of internal P-sets

XIE Wei-qi^1,2, LIU Dao-guang¹, ZHANG Li²

1. Department of Information Engineering, Zhumadian Vocational and Technical College, Zhumadian 463000, Henan, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2010-07-07 Published:2011-04-21

摘要/Abstract

摘要：

利用P-集合理论,给出内P-集合的依赖关系和度量,证明内P-集合在依赖关系下构成格,进而给出基于格论的内P-集合的相关性质。

关键词: 内P-集合;依赖关系;有限分配格;完备性

Abstract:

Using P-sets theory, the dependence relation and measurement of P-sets are given. Based on the dependence relation, internal P-sets is composed of a lattice. The related characteristics of internal P-sets are given based on the lattice theory.

Key words: internal packet sets; dependent relationship; finite distributive lattice; completeness

谢维奇1,2,刘道广1,张丽2. 内P-集合的代数性质[J]. J4, 2011, 46(3): 69-72.

XIE Wei-qi1,2, LIU Dao-guang1, ZHANG Li2. The algebraic properties of internal P-sets[J]. J4, 2011, 46(3): 69-72.

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