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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:
 3e+72 Theory of fuzzy sets, etc.