Lattices for 3-dimensional fuzzy data generated by fuzzy Galois connections

Authors:
Narcis Clara
Affiliations:
Universitat de Girona, Departament d'Informàtica i Matemàtica Aplicada, Girona, Spain
Venue:
WSEAS Transactions on Systems and Control
Year:
2009

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Abstract

Vagueness and high dimensional space data are usual features of current data. The paper is an approach to identify conceptual structures among fuzzy three dimensional data sets in order to get conceptual hierarchy. We propose a fuzzy extension of the Galois connections that allows to demonstrate an isomorphism theorem between fuzzy sets closures which is the basis for generating lattices ordered-sets.