Influence of Attribute Granulation on Three-Way Concept Lattices

In formal concept analysis based applications, controlling the structure of concept lattice is of vital importance, especially for big data, and is achieved via clarifying the granularity of attributes. Existing approaches for solving this issue are within the framework of classical formal concept a...

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Main Authors: Jun Long, Yinan Li, Zhan Yang
Format: Article
Language:English
Published: Tsinghua University Press 2024-09-01
Series:Big Data Mining and Analytics
Subjects:
Online Access:https://www.sciopen.com/article/10.26599/BDMA.2024.9020041
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author Jun Long
Yinan Li
Zhan Yang
author_facet Jun Long
Yinan Li
Zhan Yang
author_sort Jun Long
collection DOAJ
description In formal concept analysis based applications, controlling the structure of concept lattice is of vital importance, especially for big data, and is achieved via clarifying the granularity of attributes. Existing approaches for solving this issue are within the framework of classical formal concept analysis, which focuses on positive attributes. However, experiments have demonstrated that both positive and negative attributes exert comparable influence on knowledge discovery. Thus, it is essential to explore the granularity of attributes in positive and negative perspectives altogether. As a solution, we investigate this problem within the framework of three-way concept analysis. Specifically, we present zoom-in and zoom-out algorithms to obtain more particular and abstract three-way concepts, separately. Furthermore, we provide illustrative examples to show the practical significance of this study.
format Article
id doaj-art-3cceb1c8ca7e471794fae94822be4913
institution Kabale University
issn 2096-0654
language English
publishDate 2024-09-01
publisher Tsinghua University Press
record_format Article
series Big Data Mining and Analytics
spelling doaj-art-3cceb1c8ca7e471794fae94822be49132025-02-03T11:53:24ZengTsinghua University PressBig Data Mining and Analytics2096-06542024-09-017365566710.26599/BDMA.2024.9020041Influence of Attribute Granulation on Three-Way Concept LatticesJun Long0Yinan Li1Zhan Yang2Big Data Institute, Central South University, Changsha 410083, ChinaBig Data Institute, Central South University, Changsha 410083, ChinaBig Data Institute, Central South University, Changsha 410083, ChinaIn formal concept analysis based applications, controlling the structure of concept lattice is of vital importance, especially for big data, and is achieved via clarifying the granularity of attributes. Existing approaches for solving this issue are within the framework of classical formal concept analysis, which focuses on positive attributes. However, experiments have demonstrated that both positive and negative attributes exert comparable influence on knowledge discovery. Thus, it is essential to explore the granularity of attributes in positive and negative perspectives altogether. As a solution, we investigate this problem within the framework of three-way concept analysis. Specifically, we present zoom-in and zoom-out algorithms to obtain more particular and abstract three-way concepts, separately. Furthermore, we provide illustrative examples to show the practical significance of this study.https://www.sciopen.com/article/10.26599/BDMA.2024.9020041granularity of attributesthree-way concept analysis (3wca)three-way concept lattice
spellingShingle Jun Long
Yinan Li
Zhan Yang
Influence of Attribute Granulation on Three-Way Concept Lattices
Big Data Mining and Analytics
granularity of attributes
three-way concept analysis (3wca)
three-way concept lattice
title Influence of Attribute Granulation on Three-Way Concept Lattices
title_full Influence of Attribute Granulation on Three-Way Concept Lattices
title_fullStr Influence of Attribute Granulation on Three-Way Concept Lattices
title_full_unstemmed Influence of Attribute Granulation on Three-Way Concept Lattices
title_short Influence of Attribute Granulation on Three-Way Concept Lattices
title_sort influence of attribute granulation on three way concept lattices
topic granularity of attributes
three-way concept analysis (3wca)
three-way concept lattice
url https://www.sciopen.com/article/10.26599/BDMA.2024.9020041
work_keys_str_mv AT junlong influenceofattributegranulationonthreewayconceptlattices
AT yinanli influenceofattributegranulationonthreewayconceptlattices
AT zhanyang influenceofattributegranulationonthreewayconceptlattices