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Lattices for 3-Dimensional Fuzzy Data generated by Fuzzy Galois Connections

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

World Scientific and Engineering Academy and Society (WSEAS)

Author: Clara i Lloret, Narcís
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
Document access: http://hdl.handle.net/2072/227217
Language: eng
Publisher: World Scientific and Engineering Academy and Society (WSEAS)
Rights: Tots els drets reservats
Subject: Conjunts borrosos
Fuzzy sets
Categories (Matemàtica)
Categories (Mathematics)
Title: Lattices for 3-Dimensional Fuzzy Data generated by Fuzzy Galois Connections
Type: info:eu-repo/semantics/article
Repository: Recercat

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