Probabilistic implications

Przemysław Grzegorzewski

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.
Author Przemysław Grzegorzewski (FMIS / DIE) - [Systems Research Institute (IBS PAN) [Polish Academy of Sciences (PAN)]]
Przemysław Grzegorzewski,,
- Department of Integral Equations
- Instytucie Badań Systemowych
Pages254-258
Publication size in sheets0.5
Book Galichet S., Montero J., Mauris G. (eds.): PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011, Advances in Intelligent Systems Research, 2011, Atlantis Press, ISBN 978-90-78677-00-0
Keywords in Englishfuzzy implication; copula; conditional probability; approximate reasoning
DOIDOI:10.2991/eusflat.2011.67
URL https://www.atlantis-press.com/proceedings/eusflat-11/2252
Languageen angielski
Score (nominal)10
Publication indicators WoS Citations = 15; Scopus Citations = 16
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