zbMATH — the first resource for mathematics

On the functional equation $$S_1(x,y) = S_2(x,T (N(x),y))$$. (English) Zbl 0996.39021
Daróczy, Zoltán (ed.) et al., Functional equations–results and advances. Dordrecht: Kluwer Academic Publishers. Adv. Math., Dordr. 3, 323-334 (2002).
The authors give the representation of the solutions of the functional equation $S_1(x,y)=S_2(x,T(N(x),y)),$ where $$S_2$$ is a non-strict Archimedean $$t$$-conorm, $$N$$ is a strong negation, $$S_1$$ is a continuous $$t$$-conorm, and $$T$$ is a continuous $$t$$-norm.
For the entire collection see [Zbl 0983.00041].
Reviewer: G.L.Forti (Milano)

MSC:
 39B42 Matrix and operator functional equations 03E72 Theory of fuzzy sets, etc.