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A note on the mutual independence of the properties in the characterization of R-implications generated from left-continuous t-norms - MaRDI portal

A note on the mutual independence of the properties in the characterization of R-implications generated from left-continuous t-norms (Q622078)

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scientific article; zbMATH DE number 5843062
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A note on the mutual independence of the properties in the characterization of R-implications generated from left-continuous t-norms
scientific article; zbMATH DE number 5843062

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    A note on the mutual independence of the properties in the characterization of R-implications generated from left-continuous t-norms (English)
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    31 January 2011
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    R-implications are based on the functional \(I_T(x,y)=\sup\{t\in [0,1] \;| \;T(x,t) \leq y\}\), where \(T\) is a t-norm. The author of this paper presents two examples which finally solve the problem of the mutual independence of the properties associated with the characterization of R-implications generated from left continuous t-norms.
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    fuzzy implication
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    triangular norm
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    R-implication
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