Some observations about the convex combination of continuous triangular norms

Convex combinations of continuous t-norm

Convex combinations of continuous t-norms with the same diagonal function

✍ R. Mesiar; A. Mesiarová-Zemánková 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 230 KB

The problem of whether a non-trivial convex combination of two continuous t-norms with the same diagonal function can be a t-norm is studied. It is shown that in both cases -of two nilpotent and of two strict t-norms -a non-trivial convex combination of t-norms with common diagonal function is assoc