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Triangular norm-based addition of linear fuzzy numbers. (English) Zbl 0851.04005
Summary: The addition of linear fuzzy numbers based on triangular norms is studied. In the case of continuous Archimedean \(t\)-norms with strictly convex generators a necessary and sufficient condition for linearity of the \(t\)-norm-based sum is given.

MSC:
03E72 Theory of fuzzy sets, etc.
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