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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Sheffer Stroke Fuzzy Implications
verfasst von : Wanda Niemyska, Michał Baczyński, Szymon Wąsowicz
Erschienen in: Advances in Fuzzy Logic and Technology 2017
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Abstract
A new family of fuzzy implications, motivated by classic Sheffer stroke operator, is introduced. Sheffer stroke, which is a negation of a conjunction and is called NAND as well, is one of the two operators that can be used by itself, without any other logical operators, to constitute a logical formal system. Classical implication can be presented just by Sheffer stroke operator in two ways which leads to two new families of fuzzy implication functions. It turns out that one of them is mainly a subclass of QL-operations, while the other one, called in our paper as SS\(_{qq}\)-implications, is independent of other well-known families of fuzzy implications. Basic properties of Sheffer stroke implications are also analysed.