title: |
Biconic aggregation functions with a given diagonal or opposite diagonal section |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 67 - 74 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Tarad Jwaid, Bernard De, Hans De |
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publication date: |
July 2011 |
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keywords: |
Aggregation function, Quasi-copula,
Copula, Diagonal section, Opposite diagonal section, Linear interpolation |
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abstract: |
A new method to construct aggregation functions is
introduced. These aggregation functions are called
biconic aggregation functions with a given diagonal (resp. opposite diagonal) section and their construction method is based on linear interpolation
on segments connecting the diagonal (resp. opposite diagonal) of the unit square and the points (0, 1)
and (1, 0) (resp. (0, 0) and (1, 1)). Special classes of
biconic aggregation functions such as biconic semicopulas, quasi-copulas and copulas are studied in
detail. |
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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: |