P-未知数据集及其过滤-分离

doi:10.6040/j.issn.1671-9352.0.2020.363

摘要/Abstract

摘要： 当普通集合X的属性集合α发生动态变化时,X中隐藏着未知数据信息。根据这一情况,利用X生成的P-集合(X^(-overF),X^F)和∧-型大数据的结构,提出内P-未知数据集、外P-未知数据集、P-未知数据集概念,给出它们的数值特征。定义未知数据集的P-依赖度、P-过滤度概念,讨论未知数据集的P-依赖度与P-过滤度的关系。利用过滤度分析P-未知数据集过滤识别的条件,给出P-未知数据集的过滤-分离识别原理,过滤剩余-分离识别原理,得到过滤-分离识别定理以及过滤剩余-分离识别定理,最后给出内P-未知数据集过滤识别的应用。

关键词: P-集合, P-未知数据集, P-依赖度, P-过滤度, 过滤-分离

Abstract: When the attribute set α of the common set X changes dynamically, the unknown data information is hidden in X. According to the situation, the concepts of internal P-unknown data set, outer P-unknown data set and P-unknown data sets are proposed by using P-sets(X^(-overF),X^F)generated by X and the structure of ∧-type big data, and their numerical characteristics are given. The concepts of P-dependence degree and P-filtering degree of unknown data sets are defined, and the relationships between P-dependence degree and P-filtering degree are discussed. The conditions for filtering and identifying P-unknown data sets are analyzed by the filtering degree, and the filtering-separation and identification principle, the filtering surplus-separation and identification principle of P-unknown data sets are given, the filtering-separation and identification theorems and the filtering surplus-separation and identification theorems of P-unknown data sets are obtained. Finally, the application of filtering and identifying internal P-unknown data set is given.

Key words: P-set, P-unknown data set, P-dependence degree, P-filtering degree, filtering-separation

中图分类号:

O144.5

刘纪芹,潘正琨. P-未知数据集及其过滤-分离[J]. 《山东大学学报(理学版)》, 2021, 56(2): 1-6.

LIU Ji-qin, PAN Zheng-kun. P-unknown data sets and their filtering-separation[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(2): 1-6.

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