Supplementarity measures on fuzzy sets.

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.
Author/s:
  • Cubillo Villanueva, Susana
  • Castiñeira Holgado, Elena
  • Montilla, Wilmer
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

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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
DC Identifier: http://oa.upm.es/12556/
OAI Identifier: oai:oa.upm.es:12556
Official URL: http://www.atlantis-press.com/publications/aisr/eusflat-11/
Deposited by: Memoria Investigacion
Deposited on: 06 Aug 2012 08:36
Last Modified: 21 Apr 2016 11:49
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