title: |
On the transitive closure of reciprocal [0, 1]-valued relations |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| volume-issue: | 1 - 1 | |
| pages: | 1015 - 1021 | |
ISBN: |
978-90-78677-00-0 | |
ISSN: |
1951-6851 | |
DOI: |
doi:10.2991/eusflat.2011.113 (how to use a DOI) | |
author(s): |
Steven Freson, Hans De Meyer, Bernard De Baets |
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publication date: |
July 2011 |
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keywords: |
Preference relation, reciprocal relation,
stochastic transitivity, transitive closure. |
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abstract: |
We build a theoretical framework that enables to
extend the concept of transitive closure to the class
of complete crisp relations, the class of reciprocal
3-valued relations and the class of reciprocal [0, 1]valued relations. We present algorithms to compute
the transitive closure of reciprocal [0, 1]-valued relations, where the type of transitivity is either weak
stochastic transitivity or strong stochastic transitivity. |
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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: |