title: |
Probabilistic Implications |
|
publication: |
||
part of series: |
Advances in Intelligent Systems Research | |
| volume-issue: | 1 - 1 | |
| pages: | 254 - 258 | |
ISBN: |
978-90-78677-00-0 | |
ISSN: |
1951-6851 | |
DOI: |
doi:10.2991/eusflat.2011.67 (how to use a DOI) | |
author(s): |
Przemyslaw Grzegorzewski |
|
publication date: |
July 2011 |
|
keywords: |
fuzzy implication, copula, conditional
probability, approximate reasoning |
|
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. |
|
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. |
|
full text: |