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Overlap index, overlap functions and migrativity

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Bustince, H. y Fernandez, J. y Mesiar, R. y Montero, Javier y Orduna, R (2009) Overlap index, overlap functions and migrativity. In Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference. Computer Science Bibliographies . European Society of Fuzzy Logic and Technology, Lisbon, PORTUGAL, pp. 300-305. ISBN 978-989-95079-6-8

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URL Oficial: http://library.utia.cas.cz/separaty/2009/E/mesiar-overlap%20index,%20overlap%20functions%20and%20migrativity.pdf



Resumen

In this work we study overlap degrees expressed in terms of overlap functions. We present the basic properties that from our point of view must satisfy these overlap functions. We study a construction method, we analyze which t-norms are also overlap functions and we prove that if we apply particular aggregations to such functions we recover the overlap index between fuzzy sets as defined by Dubois, and the consistency index of Zadeh. We also consider some properties that can be required to overlap functions, as k-Lipschitzianity or migrativity


Tipo de documento:Sección de libro
Información Adicional:

Lisbon, Portugal, July 20-24, 2009

Palabras clave:Restricted equivalence functions; Di- subsethood measures; Aggregation operators; Fuzzy-sets; Constrution
Materias:Ciencias > Matemáticas > Lógica simbólica y matemática
Código ID:16893
Depositado:26 Oct 2012 09:03
Última Modificación:20 Abr 2016 17:02

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