title: |
Bipolarity and the relational division |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 424 - 430 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Nouredine Tamani, Ludovic Li¨¦tard, Daniel Rocacher |
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publication date: |
July 2011 |
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keywords: |
Relational division, fuzzy bipolar conditions, bipolar division, tolerant bipolar division. |
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abstract: |
A fuzzy bipolar relation is a relation defined by a
fuzzy bipolar condition, which could be interpreted
as an association of a constraint and a wish. In this
context, the extension of the relational division operation to bipolarity is studied in this paper. Firstly,
we define a bipolar division when the involved relations are crisp. Then, we define, from the semantic
point of view, several forms of bipolar division when
the involved relations are defined by fuzzy bipolar
conditions. These forms of division can be related
to the general model of fuzzy bipolar division introduced in [4, 5]. |
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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: |