Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

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Probabilistic Implications

Authors
Przemyslaw Grzegorzewski
Corresponding Author
Przemyslaw Grzegorzewski
Available Online August 2011.
DOI
10.2991/eusflat.2011.67How to use a DOI?
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
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
Series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
10.2991/eusflat.2011.67
ISSN
1951-6851
DOI
10.2991/eusflat.2011.67How to use a DOI?
Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Przemyslaw Grzegorzewski
PY  - 2011/08
DA  - 2011/08
TI  - Probabilistic Implications
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 254
EP  - 258
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.67
DO  - 10.2991/eusflat.2011.67
ID  - Grzegorzewski2011/08
ER  -