Triangular-norm-based addition of fuzzy intervals. (English) Zbl 0919.04011

Summary: Triangular-norm-based addition of fuzzy intervals on the extended real line is reduced to the addition of shapes on \([0,\infty]\). The addition of fuzzy intervals, including \(LR\)-fuzzy intervals, \(LR\)-fuzzy numbers, \(LT\)- and \(TR\)-fuzzy numbers, based on limit t-norms is recalled. For continuous Archimedean t-norms, special types of incoming summands allowing the exact output computation are introduced. Several examples are given.


03E72 Theory of fuzzy sets, etc.
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