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Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor [PDF]

open access: yesElectronic Notes in Theoretical Computer Science, 2009
AbstractThe main contribution of this paper is to introduce an autonomous definition of the connective “fuzzy exclusive or” (fuzzy Xor, for short), which is independent from others connectives. Also, two canonical definitions of the connective Xor are obtained from the composition of fuzzy connectives, and based on the commutative and associative ...
Graçaliz Pereira Dimuro   +2 more
exaly   +4 more sources

Aggregating Fuzzy Implications

Information Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renata Reiser   +2 more
exaly   +3 more sources

Multidimensional fuzzy implications

International Journal of Approximate Reasoning, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Landerson Santiago   +1 more
openaire   +2 more sources

On the distributivity of fuzzy implications and the weighted S-implications [PDF]

open access: possibleInternational Journal of Approximate Reasoning, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
József Dombi 0001   +1 more
openaire   +3 more sources

Copulas and fuzzy implications

International Journal of Approximate Reasoning, 2020
A significant part of our knowledge is formulated in terms of imprecise (``fuzzy'') words like ``small''. A natural way to describe such knowledge is to assign, to each possible value of the corresponding quantity \(x\), the expert's degree of confidence that this value satisfies the given property (e.g., that \(x\) is small).
Mesiar, Radko, Kolesárová, Anna
openaire   +3 more sources

An Implication in Fuzzy Sets

2006 IEEE International Conference on Fuzzy Systems, 2006
In this paper we introduce a fuzzy implication. The proposed fuzzy implication does not belong in one of the well known three general classes of fuzzy implications (S-implications, R-implications and QL-implications). Also we give an extended model of this fuzzy implication in intuitionistic fuzzy set and/or interval-valued fuzzy sets.
Anestis G. Hatzimichailidis   +2 more
openaire   +2 more sources

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