On the Convex Combination of Triangular Subnorms

In this paper, the convex combination of triangular subnorms is studied. The weighted quasi-arithmetic mean of the drastic product
$T_{D}$
and continuous triangular norms are discussed firstly. Then the convex combination and the weighted quasi -arithmetic mean of triangular subnorms are discussed and it is shown that under some conditions, they are still triangular subnorms.