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\(F\)-transforms determined by implicators

2021
This work aims to study F-transforms based on general implicators and to investigate their basic properties. Interestingly, we show that some of the properties of  F-transforms fail to hold in the case of implicators, such as S- and QL-implicators. {Further, we establish an equivalence between L-fuzzy transformation systems and F-transforms}.
Tripathi, A.   +2 more
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Towards a higher degree F-transform

Fuzzy Sets and Systems, 2011
The notion of fuzzy transform (\(F\)-transform for short), introduced by \textit{I. Perfilieva} [Fuzzy Sets Syst. 157, No. 8, 993--1023 (2006; Zbl 1092.41022)], explains modeling with fuzzy IF-THEN rules as a specific transformation, thus bridging fuzzy modeling and the theory of linear (particularly, integral) transformations. The \(F\)-transform of a
Irina Perfilieva   +2 more
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From F-transform to image creation

2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015
We propose the technique of the semi-automatic image creation. By this we mean an automatic completion of an image that is partially defined on the given domain. The essential feature of this technique is that the complementary area is much larger than that where the image is defined.
Pavel Vlasánek, Irina Perfilieva
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