Constructing non-functionally expressible fuzzy implications

This article discusses a new method for the construction of non-functionally expressible fuzzy implications. In a recent work, we have considered non-functionally expressible fuzzy implications from an implication function acting on the inputs followed by an aggregation process. Now, we first perform an aggregation of the inputs and then an implication function between the aggregated values. The main part is devoted to analyse under which conditions the two construction processes coincide.

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