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Supplementarity measures on fuzzy sets.
Cita
Cubillo Villanueva, Susana 
ORCID: https://orcid.org/0000-0002-6473-6039, Castiñeira Holgado, Elena and Montilla, Wilmer
(2011).
Supplementarity measures on fuzzy sets..
En: "7th conference of the European Society for Fuzzy Logic and Technology, EUSFLAT-2011 and LFA-2011", 18/07/2011 - 22/07/2011, Aix-Les-Bains, Francia. ISBN 978-90-78677-00-0. pp. 897-903.
ORCID: https://orcid.org/0000-0002-6473-6039, Castiñeira Holgado, Elena and Montilla, Wilmer
(2011).
Supplementarity measures on fuzzy sets..
En: "7th conference of the European Society for Fuzzy Logic and Technology, EUSFLAT-2011 and LFA-2011", 18/07/2011 - 22/07/2011, Aix-Les-Bains, Francia. ISBN 978-90-78677-00-0. pp. 897-903.
Descripción
| Título: | Supplementarity measures on fuzzy sets. |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Ponencia en Congreso o Jornada (Artículo) |
| Título del Evento: | 7th conference of the European Society for Fuzzy Logic and Technology, EUSFLAT-2011 and LFA-2011 |
| Fechas del Evento: | 18/07/2011 - 22/07/2011 |
| Lugar del Evento: | Aix-Les-Bains, Francia |
| Título del Libro: | Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology, EUSFLAT-2011 and LFA-2011 |
| Fecha: | 2011 |
| ISBN: | 978-90-78677-00-0 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Antonymity in fuzzy sets, supplementary fuzzy sets, antonymous measures, supplementarity measures |
| Escuela: | Facultad de Informática (UPM) [antigua denominación] |
| Departamento: | Matemática Aplicada |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
In this paper, we commence the study of the so called supplementarity measures. They are introduced axiomatically and are then related to incompatibility measures by antonyms. To do this, we have to establish what we mean by antonymous measure. We then prove that, under certain conditions, supplementarity and incompatibility measuresare antonymous. Besides, with the aim of constructing antonymous measures, we introduce the concept of involution on the set made up of all the ordered pairs of fuzzy sets. Finally, we obtain some antonymous supplementarity measures from incompatibility measures by means of involutions.
Más información
| ID de Registro: | 12556 |
|---|---|
| Identificador DC: | https://oa.upm.es/12556/ |
| Identificador OAI: | oai:oa.upm.es:12556 |
| URL Oficial: | http://www.atlantis-press.com/publications/aisr/eu... |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 06 Ago 2012 08:36 |
| Ultima Modificación: | 21 Abr 2016 11:49 |
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