title: |
Supplementarity measures on fuzzy sets |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 897 - 903 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Susana Cubillo, Elena E., Wilmer Montilla |
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publication date: |
July 2011 |
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keywords: |
Antonymity in fuzzy sets, supplementary fuzzy sets, antonymous measures, supplementarity measures |
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abstract: |
In this paper, we tackle the study of 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 measures are 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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |