Cargando…

Attribute reduction of SE-ISI concept lattices for incomplete contexts

Three-way concept analysis in incomplete contexts lays the theory dealing with the data in incomplete contexts, especially three kinds of partially known formal concepts including SE-ISI formal concept, ISE-SI formal concept and ISE-ISI formal concept. Generally speaking, not every attribute is esse...

Descripción completa

Detalles Bibliográficos
Autores principales: Wang, Zhen, Wei, Ling, Qi, Jianjun, Qian, Ting
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7474801/
https://www.ncbi.nlm.nih.gov/pubmed/32922163
http://dx.doi.org/10.1007/s00500-020-05271-2
_version_ 1783579390452432896
author Wang, Zhen
Wei, Ling
Qi, Jianjun
Qian, Ting
author_facet Wang, Zhen
Wei, Ling
Qi, Jianjun
Qian, Ting
author_sort Wang, Zhen
collection PubMed
description Three-way concept analysis in incomplete contexts lays the theory dealing with the data in incomplete contexts, especially three kinds of partially known formal concepts including SE-ISI formal concept, ISE-SI formal concept and ISE-ISI formal concept. Generally speaking, not every attribute is essential in an incomplete context since the purpose of research is different. Thus, we propose four kinds of attribute reduction of SE-ISI concept lattices based on different criteria. Then, we discuss the relationships among the four kinds of attribute reduction, including the relationships among the consistent sets and relationships among the reducts. Finally, based on discernibility matrices and discernibility functions, the approaches to obtaining these attribute reduction are presented.
format Online
Article
Text
id pubmed-7474801
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-74748012020-09-08 Attribute reduction of SE-ISI concept lattices for incomplete contexts Wang, Zhen Wei, Ling Qi, Jianjun Qian, Ting Soft comput Foundations Three-way concept analysis in incomplete contexts lays the theory dealing with the data in incomplete contexts, especially three kinds of partially known formal concepts including SE-ISI formal concept, ISE-SI formal concept and ISE-ISI formal concept. Generally speaking, not every attribute is essential in an incomplete context since the purpose of research is different. Thus, we propose four kinds of attribute reduction of SE-ISI concept lattices based on different criteria. Then, we discuss the relationships among the four kinds of attribute reduction, including the relationships among the consistent sets and relationships among the reducts. Finally, based on discernibility matrices and discernibility functions, the approaches to obtaining these attribute reduction are presented. Springer Berlin Heidelberg 2020-09-06 2020 /pmc/articles/PMC7474801/ /pubmed/32922163 http://dx.doi.org/10.1007/s00500-020-05271-2 Text en © Springer-Verlag GmbH Germany, part of Springer Nature 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Foundations
Wang, Zhen
Wei, Ling
Qi, Jianjun
Qian, Ting
Attribute reduction of SE-ISI concept lattices for incomplete contexts
title Attribute reduction of SE-ISI concept lattices for incomplete contexts
title_full Attribute reduction of SE-ISI concept lattices for incomplete contexts
title_fullStr Attribute reduction of SE-ISI concept lattices for incomplete contexts
title_full_unstemmed Attribute reduction of SE-ISI concept lattices for incomplete contexts
title_short Attribute reduction of SE-ISI concept lattices for incomplete contexts
title_sort attribute reduction of se-isi concept lattices for incomplete contexts
topic Foundations
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7474801/
https://www.ncbi.nlm.nih.gov/pubmed/32922163
http://dx.doi.org/10.1007/s00500-020-05271-2
work_keys_str_mv AT wangzhen attributereductionofseisiconceptlatticesforincompletecontexts
AT weiling attributereductionofseisiconceptlatticesforincompletecontexts
AT qijianjun attributereductionofseisiconceptlatticesforincompletecontexts
AT qianting attributereductionofseisiconceptlatticesforincompletecontexts