Paper Info
Title
On efficient factorization of standard fuzzy concept lattices and attribute-oriented fuzzy concept lattices.
Abstract
We propose two ways to make factorization of attribute-oriented fuzzy concept lattices recently studied by Ciobanu & Văideanu more efficient. Firstly, we show that the blocks of the corresponding factor lattice are determined by a particular fuzzy interior operator. This allows us to compute an attribute-oriented fuzzy concept lattice by intents. Such a computation requires fewer traversals through data, as the number of the attributes is usually smaller than the number of objects. Secondly, we scale the input data in such a way that the factor lattice can be computed as a one-sided fuzzy-crisp concept lattice. Our experiments indicate that both methods lead to a significant improvement in efficiency of computation of the factor lattice. In addition, we improve and extend the theory provided by Ciobanu & Văideanu.
Year
DOI
Venue
2018
10.1016/j.fss.2018.01.012
Fuzzy Sets and Systems
Keywords
Field
DocType
Factorization,Similarity,Fuzzy sets,Formal context,Concept lattice
Fuzzy concept,Discrete mathematics,Lattice (order),Algebra,Fuzzy logic,Operator (computer programming),Factorization,Mathematics,Computation
Journal
Volume
ISSN
Citations 
351
0165-0114
0
PageRank 
References 
Authors
0.34
11
1
Name
Order
Citations
PageRank
Jan Konecny111517.20