Block relations in formal fuzzy concept analysis

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 fa...

Full description

Saved in:
Bibliographic Details
Published in:International journal of approximate reasoning 2016-06, Vol.73, p.27-55
Main Authors: Konecny, Jan, Krupka, Michal
Format: Article
Language:English
Subjects:
Approximation
Block relation
Blocking
Equivalence
Factorization
Formal concept analysis
Fuzzy
Fuzzy logic
Fuzzy sets
Galois connection
Lattices
Tolerances
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0888-613X
1873-4731
DOI:10.1016/j.ijar.2016.02.004