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On the distributive equation for t-representable t-norms generated from nilpotent and strict t-norms
2011
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)
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Recently, in [4] , we have discussed the following distributive equation of implications I(x, T 1 (y, z)) = T 2 (I(x, y), 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 with the assumption that T 1 is generated from nilpotent t-norms, while T 2 is generated from strict t-norms. As a byproduct result we show all solutions for the following functional equation f (min(u 1 +v 1 , a),
doi:10.2991/eusflat.2011.15
dblp:conf/eusflat/Baczynski11
fatcat:zebhbz37h5h7zk5nerihubmgom