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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (10): 1-12.doi: 10.6040/j.issn.1671-9352.7.2015.001

• 论文 •    下一篇

P-增广矩阵与信息的智能动态发现-辨识

史开泉   

  1. 山东大学数学学院, 山东 济南 250100
  • 收稿日期:2015-08-31 修回日期:2015-09-10 出版日期:2015-10-20 发布日期:2015-10-21
  • 作者简介:史开泉(1945-),男,教授,博士生导师,研究方向为系统理论与应用.E-mail:shikq@sdu.edu.cn
  • 基金资助:
    福建省自然科学基金资助项目(2015J05010);龙岩学院百名青年攀登项目(LQ2013003)

P-augmented matrix and dynamic intelligent discovery-identification of information

SHI Kai-quan   

  1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2015-08-31 Revised:2015-09-10 Online:2015-10-20 Published:2015-10-21

摘要: 利用普通增广矩阵概念与P-集合动态结构交叉,改进普通增广矩阵概念,提出P-增广矩阵,给出P-增广矩阵结构;P-增广矩阵由内P-增广矩阵与外P-增广矩阵共同构成。给出内P-增广矩阵属性定理,外P-增广矩阵属性定理与P-增广矩阵属性定理;给出P-增广矩阵与普通增广矩阵的还原关系。改进P-推理,提出P-增广矩阵推理,给出推理结构;P-增广矩阵推理由内P-增广矩阵推理与外P-增广矩阵推理共同构成。提出属性的P-增广合取范式,给出属性的P-增广合取范式与属性的普通合取范式的关系,提出属性的P-增广合取范式还原定理;给出满足P-增广矩阵推理条件的信息的智能动态发现-辨识定理,最后给出了应用。

关键词: P-集合, 信息智能发现, 矩阵推理, 发现-辨识定理, P-增广矩阵

Abstract: By improving ordinary augmented matrix and crossing the concept of ordinary augmented matrix and the dynamic structure of P-sets, P-augmented matrix is proposed,and its structure is also given. P-augmented matrix consists of internal P-augmented matrix and outer P-augmented matrix. Then the attribute theorems of internal P-augmented matrix, outer P-augmented matrix and P-augmented matrix are obtained. The reduction relationships between P-augmented matrix and ordinary augmented matrix are given. By improving P-inference, P-augmented matrix inference is proposed, and its inference structure is given. P-augmented matrix inference consists of internal P-augmented matrix inference and outer P-augmented matrix inference. Then P-augmented conjunctive normal form of attribute is proposed, and the relationships between P-augmented conjunctive normal form of attribute and ordinary conjunctive normal form of attribute are given. The reduction theorems of P-augmented conjunctive normal form of attribute and dynamic intelligent discovery-identification of information that satisfy the antecedent of P-augmented matrix inference are proposed. Finally, an application is shown.

Key words: P-sets, P-augmented matrix, matrix inference, intelligent discovery of information, discovery-identification theorem

中图分类号: 

  • O144
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