## 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.