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Published in:
2011 | OriginalPaper | Chapter
Distributivity of Implication Operations over t-Representable T-Norms Generated from Nilpotent T-Norms
Author : Michał Baczyński
Published in: Fuzzy Logic and Applications
Publisher: Springer Berlin Heidelberg
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Recently, in [3], we have discussed the distributive equation of implications
$\mathcal{I}(x,\mathcal{T}_1(y,z)) = \mathcal{T}_2(\mathcal{I}(x,y),\mathcal{I}(x,z))$
over t-representable t-norms generated from strict t-norms in interval-valued fuzzy sets theory. In this work we continue these investigations, but for t-representable t-norms generated from nilpotent t-norms. As a byproduct result we show all solutions of some functional equation related to this case.