基于三元粒概念的三元概念获取

李谦; 万青; 魏玲

doi:10.16152/j.cnki.xdxbzr.2026-01-015

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基于三元粒概念的三元概念获取

粗糙集与形式概念分析中的约简研究 | 更新时间：2026-02-24

- 基于三元粒概念的三元概念获取
- Triadic concepts acquisition based on triadic granular concepts
- 西北大学学报（自然科学版） 2026年56卷第1期页码：159-170
- 作者机构：
  
  1.西安工程大学　理学院，陕西　西安　710048
  2.西北大学　概念、认知与智能研究中心，陕西　西安　710127
  3.西北大学　数学学院，陕西　西安　710127
- 作者简介：
  
  李谦，女，硕士研究生，从事形式概念分析研究，liqian19992022@163.com。
  万青，女，副教授，硕士生导师，从事粗糙集、形式概念分析、粒计算等研究，wqysbe@163.com。
- 基金信息：
  
  国家自然科学基金(12101478;12171392);陕西数理基础科学研究项目(23JSZ008)
- DOI：10.16152/j.cnki.xdxbzr.2026-01-015
  中图分类号： O29;TP18
- 收稿：2025-06-10，
  
  修回：2025-07-15，
  
  纸质出版：2026-02-25
- 稿件说明：
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李谦, 万青, 魏玲. 基于三元粒概念的三元概念获取[J]. 西北大学学报（自然科学版）, 2026,56(1):159-170.

LI Qian, WAN Qing, WEI Ling. Triadic concepts acquisition based on triadic granular concepts[J]. Journal of Northwest University (Natural Science Edition), 2026, 56(1): 159-170.
李谦, 万青, 魏玲. 基于三元粒概念的三元概念获取[J]. 西北大学学报（自然科学版）, 2026,56(1):159-170. DOI： 10.16152/j.cnki.xdxbzr.2026-01-015.

LI Qian, WAN Qing, WEI Ling. Triadic concepts acquisition based on triadic granular concepts[J]. Journal of Northwest University (Natural Science Edition), 2026, 56(1): 159-170. DOI： 10.16152/j.cnki.xdxbzr.2026-01-015.

摘要

三元概念分析作为形式概念分析的一种扩展理论和方法，主要用于处理三维数据，三元概念获取是其重要的研究问题之一。本文借鉴形式概念分析中基于对象概念获取所有二元概念的研究思路给出获取所有三元概念的方法。首先，在已有的对象-条件三元粒概念生成三元概念方法的基础上，给出从对象-条件三元粒概念的内涵集出发获取所有三元概念的方法；其次，根据三元背景的特点以及三元概念外延、内涵和方式之间的关系，提出了基于属性-对象（条件-属性）三元粒概念方式集（外延集）的获取所有三元概念的方法；最后，对本文所提出的方法以属性-对象三元粒概念为例给出具体的计算步骤。

Abstract

As the extended theory and method of formal concept analysis

triadic concept analysis is mainly used to process three-dimensional data

and the triadic concepts acquisition is one of its important research topics. Motivated by the idea of acquiring binary concepts based on the object concepts in formal concept analysis

this paper gives the method of obtaining all triadic concepts. First of all

on the basis of the existing method of generating triadic concepts from object-condition triadic granular concepts

a method of obtaining all triadic concepts from the intent set of object-condition triadic granular concepts is presented. Secondly

according to the characteristics of a triadic context and the relationship between the extent

the intent and the mode of a triadic concept

the method of obtaining all triadic concepts based on the mode set (the extent set) of attribute-object (condition-attribute) triadic granular concepts is proposed. Finally

the concrete calculation steps of the method proposed in this paper are given by taking the attribute-object triadic granular concepts as an example.

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references

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