On inference rules in decision formal contexts

Rule acquisition is one of the main purposes in the analysis of decision formal contexts. In general, the number of implications in a decision formal context is an exponential increase to the scale of the database. So, it is important to introduce effective inference rules between implications for e...

Full description

Bibliographic Details
Main Authors: Jinhai Li, Changlin Mei, Lidong Wang, Junhong Wang
Format: Article
Language:English
Published: Springer 2015-01-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://www.atlantis-press.com/article/25868587.pdf
_version_ 1828515292547907584
author Jinhai Li
Changlin Mei
Lidong Wang
Junhong Wang
author_facet Jinhai Li
Changlin Mei
Lidong Wang
Junhong Wang
author_sort Jinhai Li
collection DOAJ
description Rule acquisition is one of the main purposes in the analysis of decision formal contexts. In general, the number of implications in a decision formal context is an exponential increase to the scale of the database. So, it is important to introduce effective inference rules between implications for eliminating as many superfluous implications as possible. This study puts forward a criterion called ‘strongness’ to assess the effectiveness of inference rules in terms of eliminating superfluous implications. We define a new inference rule in decision formal contexts and prove that the proposed inference rule is stronger than the existing one. Furthermore, we figure out the exact number of the superfluous implications that we can additionally remove by using the proposed inference rule compared with the existing one.
first_indexed 2024-12-11T18:11:15Z
format Article
id doaj.art-f36ca360841a46159be34819bb9a7369
institution Directory Open Access Journal
issn 1875-6883
language English
last_indexed 2024-12-11T18:11:15Z
publishDate 2015-01-01
publisher Springer
record_format Article
series International Journal of Computational Intelligence Systems
spelling doaj.art-f36ca360841a46159be34819bb9a73692022-12-22T00:55:34ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832015-01-018110.2991/ijcis.2015.8.1.14On inference rules in decision formal contextsJinhai LiChanglin MeiLidong WangJunhong WangRule acquisition is one of the main purposes in the analysis of decision formal contexts. In general, the number of implications in a decision formal context is an exponential increase to the scale of the database. So, it is important to introduce effective inference rules between implications for eliminating as many superfluous implications as possible. This study puts forward a criterion called ‘strongness’ to assess the effectiveness of inference rules in terms of eliminating superfluous implications. We define a new inference rule in decision formal contexts and prove that the proposed inference rule is stronger than the existing one. Furthermore, we figure out the exact number of the superfluous implications that we can additionally remove by using the proposed inference rule compared with the existing one.https://www.atlantis-press.com/article/25868587.pdfFormal concept analysisconcept latticeformal contextdecision formal contextinference rulerule acquisition
spellingShingle Jinhai Li
Changlin Mei
Lidong Wang
Junhong Wang
On inference rules in decision formal contexts
International Journal of Computational Intelligence Systems
Formal concept analysis
concept lattice
formal context
decision formal context
inference rule
rule acquisition
title On inference rules in decision formal contexts
title_full On inference rules in decision formal contexts
title_fullStr On inference rules in decision formal contexts
title_full_unstemmed On inference rules in decision formal contexts
title_short On inference rules in decision formal contexts
title_sort on inference rules in decision formal contexts
topic Formal concept analysis
concept lattice
formal context
decision formal context
inference rule
rule acquisition
url https://www.atlantis-press.com/article/25868587.pdf
work_keys_str_mv AT jinhaili oninferencerulesindecisionformalcontexts
AT changlinmei oninferencerulesindecisionformalcontexts
AT lidongwang oninferencerulesindecisionformalcontexts
AT junhongwang oninferencerulesindecisionformalcontexts