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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

© WSEAS Transactions on Systems and Control, 2009, vol.4, núm. 9, p. 423-434

World Scientific and Engineering Academy and Society (WSEAS)

Author: Clara i Lloret, Narcís
Date: 2009
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
Format: application/pdf
ISSN: 1991-8763 (versió paper)
2224-2856 (versió electrònica)
Document access: http://hdl.handle.net/10256/8978
Language: eng
Publisher: World Scientific and Engineering Academy and Society (WSEAS)
Collection: Reproducció digital del document publicat a: http://dl.acm.org/citation.cfm?id=1718731
Articles publicats (D-IMA)
Is part of: © WSEAS Transactions on Systems and Control, 2009, vol.4, núm. 9, p. 423-434
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: DUGiDocs

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