Title
A multi-level conceptual data reduction approach based on the Lukasiewicz implication
Abstract
Starting from fuzzy binary data represented as tables in the fuzzy relational database, in this paper, we use fuzzy formal concept analysis to reduce the tables size to only keep the minimal rows in each table, without losing knowledge (i.e., association rules extracted from reduced databases are identical at given precision level). More specifically, we develop a fuzzy extension of a previously proposed algorithm for crisp data reduction without loss of knowledge. The fuzzy Galois connection based on the Lukasiewicz implication is mainly used in the definition of the closure operator according to a precision level, which makes data reduction sensitive to the variation of this precision level.
Year
DOI
Venue
2004
10.1016/j.ins.2003.06.013
Inf. Sci.
Keywords
Field
DocType
crisp data reduction,fuzzy galois connection,fuzzy relational database,multi-level conceptual data reduction,lukasiewicz implication,fuzzy formal concept analysis,association rule,precision level,data reduction,fuzzy binary data,fuzzy extension,formal concept analysis,closure operator
Discrete mathematics,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Fuzzy associative matrix,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
163
4
0020-0255
Citations 
PageRank 
References 
59
2.11
5
Authors
5
Name
Order
Citations
PageRank
Samir Elloumi116613.87
Jihad Mohamad Jaam2737.14
Ahmed Hasnah3592.11
ali jaoua428234.15
ibtissem nafkha5735.11