Paper Info
Title
Block relations in formal fuzzy concept analysis.
Abstract
One of the main problems in formal concept analysis (especially in fuzzy setting) is to reduce a concept lattice of a formal context to appropriate size to make it graspable and understandable. A natural way to do it is to substitute the formal context by its block relation which is equivalent to factorization of the concept lattice by a complete tolerance. We generalize known results on the correspondence of block relations of formal contexts and complete tolerances on concept lattices to fuzzy setting and we provide an illustrative example of using block relations to reduce the size of a concept lattice. We generalize known results on the correspondence of block relations and complete tolerances.We provide an illustrative example of using block relations to reduce the size of a concept lattice.We consider both, the antitone and the isotone case.
Year
DOI
Venue
2016
10.1016/j.ijar.2016.02.004
Int. J. Approx. Reasoning
Keywords
Field
DocType
Galois connection,Formal concept analysis,Fuzzy sets,Block relation
Fuzzy concept,Galois connection,Discrete mathematics,Fuzzy logic,Lattice Miner,Fuzzy set,Factorization,Isotone,Formal concept analysis,Mathematics
Journal
Volume
Issue
ISSN
73
C
0888-613X
Citations 
PageRank 
References 
7
0.44
15
Authors
2
Name
Order
Citations
PageRank
Jan Konecny111517.20
Michal Krupka2588.59