Paper Info
Title
Galois connections between semimodules and applications in data mining
Abstract
In [1] a generalisation of Formal Concept Analysis was introduced with data mining applications in mind, κ-Formal Concept Analysis, where incidences take values in certain kinds of semirings, instead of the standard Boolean carrier set. A fundamental result was missing there, namely the second half of the equivalent of the main theorem of Formal Concept Analysis. In this continuation we introduce the structural lattice of such generalised contexts, providing a limited equivalent to the main theorem of κ-Formal Concept Analysis which allows to interpret the standard version as a privileged case in yet another direction. We motivate our results by providing instances of their use to analyse the confusion matrices of multiple-input multiple-output classifiers.
Year
DOI
Venue
2007
10.1007/978-3-540-70901-5_12
ICFCA
Keywords
Field
DocType
standard boolean carrier set,galois connection,confusion matrix,formal concept analysis,standard version,certain kind,generalised context,limited equivalent,main theorem,fundamental result,data mining application,data mining
Data mining,Discrete mathematics,Confusion,Yet another,Algebra,Lattice (order),Matrix (mathematics),Generalization,Computer science,Continuation,Formal concept analysis,Natural order
Conference
Volume
ISSN
Citations 
4390
0302-9743
8
PageRank 
References 
Authors
0.75
4
2
Name
Order
Citations
PageRank
Francisco J. Valverde-Albacete111620.84
Carmen Peláez-moreno213022.07