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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.
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