AbstractA 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.
|Publication size in sheets||0.5|
|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 English||fuzzy implication; copula; conditional probability; approximate reasoning|
|Publication indicators||= 15; = 16|
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