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\(T\)-sums of L-R fuzzy numbers. (English) Zbl 0904.04007
Summary: The sum of L-R fuzzy numbers based on a given Archimedian continuous \(t\)-norm \(T\) is studied. A series of sufficient conditions improving those of several authors and ensuring an analytical form of the output sum is completed by a sufficient and necessary condition, i.e., the best sufficient condition. Some applications are indicated.

MSC:
03E72 Theory of fuzzy sets, etc.
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