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Supplementarity measures on fuzzy sets.
Citation
Cubillo Villanueva, Susana and Castiñeira Holgado, Elena and Montilla, Wilmer (2011). Supplementarity measures on fuzzy sets.. In: "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.
Description
| Title: | Supplementarity measures on fuzzy sets. |
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| Author/s: |
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| Item Type: | Presentation at Congress or Conference (Article) |
| Event Title: | 7th conference of the European Society for Fuzzy Logic and Technology, EUSFLAT-2011 and LFA-2011 |
| Event Dates: | 18/07/2011 - 22/07/2011 |
| Event Location: | Aix-Les-Bains, Francia |
| Title of Book: | Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology, EUSFLAT-2011 and LFA-2011 |
| Date: | 2011 |
| ISBN: | 978-90-78677-00-0 |
| Subjects: | |
| Freetext Keywords: | Antonymity in fuzzy sets, supplementary fuzzy sets, antonymous measures, supplementarity measures |
| Faculty: | Facultad de Informática (UPM) |
| Department: | Matemática Aplicada |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
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.
More information
| Item ID: | 12556 |
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| DC Identifier: | https://oa.upm.es/12556/ |
| OAI Identifier: | oai:oa.upm.es:12556 |
| Official URL: | http://www.atlantis-press.com/publications/aisr/eu... |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 06 Aug 2012 08:36 |
| Last Modified: | 21 Apr 2016 11:49 |
