随机函数逆P-集合与其属性依赖特征

doi:10.6040/j.issn.1671-9352.0.2014.141

山东大学学报（理学版） ›› 2014, Vol. 49 ›› Issue (10): 90-94.doi: 10.6040/j.issn.1671-9352.0.2014.141

• 论文 • 上一篇

随机函数逆P-集合与其属性依赖特征

张曰云

德州学院数学科学学院, 山东德州 253023

收稿日期:2014-04-08 出版日期:2014-10-20 发布日期:2014-11-10
作者简介:张曰云(1978-),女,硕士,讲师,研究方向为粗系统理论与应用.E-mail:zhangyueyun1126@163.com
基金资助:
山东省自然科学基金资助项目(ZR2010AL019)

Random function inverse P-sets and its characteristics depending on attributes

ZHANG Yue-yun

College of Mathematical Sciences, Dezhou University, Dezhou 253023, Shandong, China

Received:2014-04-08 Online:2014-10-20 Published:2014-11-10

摘要/Abstract

摘要： 将随机特性引入函数逆P-集合,对函数逆P-集合进行改进,给出随机函数逆P-集合的概念与结构。随机函数逆P-集合是由随机函数内逆P-集合与随机函数外逆P-集合构成的有序集合对。随机函数逆P-集合是函数逆P-集合的扩展,函数逆P-集合是随机函数逆P-集合的特例。在随机函数逆P-集合的基础上,给出随机函数逆P-集合的随机性定理与随机函数逆P-集合的属性依赖关系定理。随机函数逆P-集合的提出扩大了函数逆P-集合的应用领域。

关键词: 随机特性, 函数逆P-集合, 随机函数逆P-集合, 属性依赖特性

Abstract: By introducing random characteristics into function inverse P-sets and improving it, the concept and structure of random function inverse P-sets (packet sets) is proposed, which is an ordered pair of cantor sets composed of random function internal inverse P-set and random function outer inverse P-set. Also, it is pointed that random function inverse P-sets is an expansion model of function inverse P-sets, while function inverse P-sets is a case of random function inverse P-sets. Based on the concepts of random function inverse P-sets, its random feature theorems and the dependent relationship theorems between random function inverse P-sets and its attributes are obtained. So the random function inverse P-sets extend the application field of function inverse P-sets.

Key words: function inverse P-sets, random function inverse P-sets, random characteristics, characteristics depending on attributes

中图分类号:

TP274

张曰云. 随机函数逆P-集合与其属性依赖特征[J]. 山东大学学报（理学版）, 2014, 49(10): 90-94.

ZHANG Yue-yun. Random function inverse P-sets and its characteristics depending on attributes[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(10): 90-94.

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随机函数逆P-集合与其属性依赖特征

Random function inverse P-sets and its characteristics depending on attributes

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[2]	史开泉. 函数逆P-集合与信息规律融合[J]. J4, 2012, 47(8): 73-80.