title: |
Probabilistic Implications |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 254 - 258 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Przemyslaw Grzegorzewski |
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publication date: |
July 2011 |
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keywords: |
fuzzy implication, copula, conditional
probability, approximate reasoning |
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abstract: |
A new family of implication operators, called probabilistic implications, is introduced. The suggested
implications are based on conditional copulas and
make a bridge between probability theory and fuzzy
logic. It is shown that some well-known fuzzy implications appear as a particular probabilistic implications. Therefore, it seems that this new family
of implication operators might be a useful tool in
approximate reasoning. |
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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: |