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A \(T\)-sum bound of LR-fuzzy numbers. (English) Zbl 0920.04010
Summary: We provide an upper bound and a lower bound of the \(T\)-sum of LR-fuzzy numbers with different spreads, where \(T\) is an Archimedean \(t\)-norm, and show in three examples how close they are to actual membership functions. Furthermore, we study when the membership function of a \(T\)-sum achieves the upper bound.

MSC:
03E72 Theory of fuzzy sets, etc.
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