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Resolution of composite fuzzy relation equations based on Archimedean triangular norms. (English) Zbl 0979.03042
The paper investigates the existence of a solution for composite fuzzy relation equations in any t-norm \(t\) and proposes a method for solving sup-\(t\)-norm fuzzy relation equations with an Archimedean t-norm \(t\). The numerical methods are simpler and faster than those developed for all continuous t-norms. This improvement is essential as the authors show that the only continuous non-Archimedean t-norm is the “minimum”.

MSC:
03E72 Theory of fuzzy sets, etc.
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