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Fuzzy implications based on semicopulas
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DOI：10.1016/j.fss.2016.09.009.png)
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Abstract
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Probabilistic implications and probabilistic S-implications, introduced recently by Grzegorzewski, have attracted attention of researchers engaged in fuzzy implications. Since these two families are based on copulas, they form a kind of bridge between probability theory and fuzzy logic. In this paper we generalize the aforementioned two classes and propose a new approach for constructing fuzzy implications which combines a given a priori fuzzy implication and a semicopula. (C) 2016 Elsevier B.V. All rights reserved.
Keywords:
Copula
Fuzzy implication
Probabilistic implication
Semicopula
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