面向属性概念格的概念约简及其在知识空间理论中的应用

于亚琪; 赵思雨; 魏玲

doi:10.16152/j.cnki.xdxbzr.2023-05-013

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面向属性概念格的概念约简及其在知识空间理论中的应用

形式概念分析中的概念约简 | 更新时间：2023-10-30

- 面向属性概念格的概念约简及其在知识空间理论中的应用
- Concept reduction of property-oriented concept lattices and its application in knowledge space theory
- 西北大学学报（自然科学版） 2023年53卷第5期页码：812-820
- 作者机构：
  
  1.西北大学　数学学院，陕西　西安　710127
  2.西北大学　概念、认知与智能研究中心，陕西　西安　710127
  3.闽南师范大学　数学与统计学院，福建　漳州　363000
- 作者简介：
  
  于亚琪，女，从事形式概念分析、粒计算、三支决策理论研究，yuyaqi2021@163.com。
  魏玲，女，教授，博士生导师，从事形式概念分析、粒计算、三支决策理论等研究，wl@nwu.edu.cn。
- 基金信息：
  
  国家自然科学基金(12171392;62006190);西北大学研究生创新项目(CX2023065)
- DOI：10.16152/j.cnki.xdxbzr.2023-05-013
  中图分类号：
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于亚琪, 赵思雨, 魏玲. 面向属性概念格的概念约简及其在知识空间理论中的应用[J]. 西北大学学报（自然科学版）, 2023,53(5):812-820.

YU Yaqi, ZHAO Siyu, WEI Ling. Concept reduction of property-oriented concept lattices and its application in knowledge space theory[J]. Journal of Northwest University (Natural Science Edition), 2023,53(5):812-820.
于亚琪, 赵思雨, 魏玲. 面向属性概念格的概念约简及其在知识空间理论中的应用[J]. 西北大学学报（自然科学版）, 2023,53(5):812-820. DOI： 10.16152/j.cnki.xdxbzr.2023-05-013.

YU Yaqi, ZHAO Siyu, WEI Ling. Concept reduction of property-oriented concept lattices and its application in knowledge space theory[J]. Journal of Northwest University (Natural Science Edition), 2023,53(5):812-820. DOI： 10.16152/j.cnki.xdxbzr.2023-05-013.

摘要

保持二元关系不变的概念约简是形式概念分析中一种新的约简理论，可在不损失原始信息的前提下减少概念数量。基于面向属性概念格，研究保持补二元关系不变的面向属性概念格的概念约简。首先，给出面向属性概念约简的定义，并从POC代表概念矩阵的角度给出面向属性概念约简的求解方法和面向属性概念特征；其次，讨论面向属性概念约简与面向对象概念约简之间的关系；最后，基于知识空间理论，给出面向属性概念约简在知识空间理论中的应用。

Abstract

Concept reduction preserving binary relation is a new reduction theory in formal concept analysis, it can reduce the number of concepts without losing the original information. This paper studies the concept reduction of property-oriented concept lattices, this newly proposed reduction can preserve the complementary binary relation. First, the definition of property-oriented concept reduction is given. Then, the approach to obtain concept reduction and characteristics of property-oriented concept are given from the perspective of POC representative concept matrix. Moreover, the relationship between property-oriented concept reduction and object-oriented concept reduction are discussed. Finally, the application of property-oriented concept reduction in knowledge space theory is given.

关键词

形式概念分析面向属性概念约简POC代表概念矩阵面向属性概念特征

Keywords

formal concept analysisproperty-oriented concept reductionPOC representative concept matrixproperty-oriented concept characteristics

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