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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (3): 31-40.doi: 10.6040/j.issn.1671-9352.4.2021.114

• • 上一篇    

粒空间中划分知识的正交补研究

王宝丽1,2,王涛2,廉侃超1*,韩素青2,3   

  1. 1. 运城学院数学与信息技术学院, 山西 运城 044000;2. 太原师范学院数学系, 山西 晋中 030619;3. 太原师范学院计算机系, 山西 晋中 030619
  • 发布日期:2022-03-15
  • 作者简介:王宝丽(1982— ), 女, 博士,副教授,研究方向为数据挖掘与智能决策的研究工作. E-mail:pollycomputer@163.com*通信作者简介:廉侃超(1974— ),女,副教授,研究方向为优化计算及数字媒体表达的研究工作. E-mail:lkc333@126.com
  • 基金资助:
    国家自然科学基金资助项目(61703363,61806116);山西省应用基础研究计划项目(201901D211462,201901D211461);山西省高等学校青年科研人员培育计划项目;山西省重点实验室开放课题基金项目(CICIP2018008);运城学院博士启动资金资助项目(YQ-2016006)

Research of partition knowledge orthogonal complement for granular space

WANG Bao-li1,2, WANG tao2, LIAN Kan-chao1*, HAN Su-qing2,3   

  1. 1. School of Mathematics &
    Information Technology, Yuncheng University, Yuncheng 044000, Shanxi, China;
    2. Department of Mathematics, Taiyuan Normal University, Jinzhong 030619, Shanxi, China;
    3. Department of Computer Science, Taiyuan Normal University, Jinzhong 030619, Shanxi, China
  • Published:2022-03-15

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摘要： 从知识代数格结构的视角出发, 分析人类精确识别目标概念与知识目标的学习特征, 提出了划分知识的绝对正交补与相对正交补的概念, 进一步结合划分知识的差异性度量, 提出了能够刻画绝对认知过程中的极大差异性、相对认知中的易迁移性的极大绝对正交补、极小相对正交补。

关键词: 划分知识, 绝对正交补, 相对正交补, 极大绝对正交补, 极小相对正交补

Abstract: From the algebraic perspective, this study proposes the concepts of the absolute orthogonal complements and the relative orthogonal complements for the starting partition knowledge by analyzing the study characteristic of accurately discerning the objective concept or knowledge. Moreover, we put forward the thoughts of maximal absolute orthogonal complement and minimal relative orthogonal complement to model the most significant difference and the easiest transferring in the absolute and relative cognition of agents.

Key words: partition knowledge, absolute orthogonal complement, relative orthogonal complement, maximal absolute orthogonal complement, minimal relative orthogonal complement

中图分类号: 

  • TP391
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