内P(ρ,σ)-集合的随机特性-应用

J4 ›› 2013, Vol. 48 ›› Issue (10): 23-28.

内P(ρ,σ)-集合的随机特性-应用

张环理1,2,李豫颖3*,史开泉1

1.山东大学数学学院, 山东济南 250100; 2.驻马店职业技术学院, 河南驻马店 463000；
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:2013-04-07 发布日期:2013-10-14
通讯作者: 李豫颖(1962- ),女,教授,研究方向为系统理论与应用. Email:asszlyy@163.com
作者简介:张环理(1963- ),男,副教授,研究方向为信息系统与应用.Email:sdzhl5169@sina.cn
基金资助:
河南省高等学校青年骨干教师资助计划(2012GGJS297);福建教育厅省属高校科研专项计划资助项目(JK2013057)；福建省自然科学基金资助项目(2012D112)

Internal P(ρ,σ)-set′s random characteristic-application

ZHANG Huan-li1,2, LI Yu-ying3*, SHI Kai-quan1

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

Received:2013-04-07 Published:2013-10-14

摘要/Abstract

摘要：

P(ρ,σ)-集合是P-集合的一般形式,在P(ρ,σ)-集合(XPρ,XPFσ)概念的基础上,探讨了内P(ρ,σ)-集合与内P-集合的关系:给出内P(ρ,σ)-集合与内P-集合关系定理、内P(ρ,σ)-集合XPρ 与数值ρ关系定理和内P(ρ,σ)-集合的范围、内P(ρ,σ)-集合的生成、还原、辨识定理、过滤生成原理,探讨了内P(ρ,σ)-集合的其他特性和有限性定理,链定理、概率区间有限分割定理、属性集合关系定理及其推论,最后给出了内P(ρ,σ)-集合的应用。

关键词: 内P(ρ,σ)-集合;有限性;概率;辨识;过滤;有限分割

Abstract:

P(ρ,σ)-sets is the general case of P-sets. Based on the conception of P(ρ,σ)-set (XPρ, XPFσ ), the relation between internal P(ρ,σ)-set and internal P-set is studied. Internal P(ρ,σ)-set and internal P-set relation theorem, internal P(ρ,σ)-set and numerical value ρ relation theorem, internal P(ρ,σ)-set’s range, other characteristics of internal P(ρ,σ)-set, the finiteness theorem of internal P(ρ,σ)-set, the set chain theorem of internal P(ρ,σ)-set, the internal P(ρ,σ)-set probability interval finite partition theorem, and its corollary, generation, reduction, identification theorem of internal P(ρ,σ)-set, filter generation theorem of internal P(ρ,σ)-set are obtained. Finally, internal P(ρ,σ)-set application is given.

Key words: internal P(ρ,σ)-set; finiteness; probability; identification; filter; finite partition

中图分类号:

O144

张环理1,2,李豫颖3*,史开泉1. 内P(ρ,σ)-集合的随机特性-应用[J]. J4, 2013, 48(10): 23-28.

ZHANG Huan-li1,2, LI Yu-ying3*, SHI Kai-quan1. Internal P(ρ,σ)-set′s random characteristic-application[J]. J4, 2013, 48(10): 23-28.

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