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Probabilistic implications
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PRE
AI
DOI：10.1016/j.fss.2013.01.003.png)
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Abstract
En 中文
A new family of implication operators, called probabilistic implications, is discussed. The suggested implications are based on conditional copulas and make a bridge between probability theory and fuzzy logic. It is shown that probabilistic fuzzy implications have some interesting properties, especially those connected with the dependence structure of the underlying environment. Moreover, some other approaches for combining probability and theory of fuzzy implications are considered. In particular, it is shown that in probabilistic environment S-implications coincide with QL-implications. (C) 2013 Elsevier B.V. All rights reserved.
Keywords:
Fuzzy implication
S-implication
Copula
Conditional probability
Dependence
Approximate reasoning
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