@misc{Baczyński_Michał_Krzysztof_Recent_2011, author={Baczyński, Michał Krzysztof}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Książka = Book}, howpublished={online}, year={2011}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={Recently, in [5] we have examined the solutions of the following distributive functional equation I(x, S1(y, z))=S2(I(x, y), I(x, z)), when S1, S2 are either both strict or nilpotent t-conorms and I is an unknown function. On the other side, in [3] and [4], we have discussed the distributive equation of implications I(x, T1(y, z))= T2(I(x, y), I(x, z)) over t-representable t-norms generated from strict or nilpotent t-norms in interval-valued fuzzy sets theory. In this work we continue these investigations, but for the following distributive functional equation I(x, S1(y, z)) = S2(I(x, y), I(x, z)), when S1, S2 are t-representable t-conorms generated from either both strict or nilpotent t-conorms and I is an unknown function.}, title={Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * On the distributive equation i(x, s1(y, z)) = s2(i(x, y), i(x, z)) for t-representable t-conorms generated from nilpotent or strict t-conorms}, type={Text}, URL={http://rcin.org.pl/Content/206762/PDF/KS-2011-09-T1P3.pdf}, }