Triangular Conorms on the Space of Non-decreasing Lists of Non-negative Real Numbers

Motivated by the study of \(\triangle_n^+\)-valued distances, where \(\triangle_n^+\) is the set of distance distribution functions with range in \(\{0,\frac 1 n ,\ldots, \frac{n-1}{n},1\}\), we deal with triangular conorms defined on the bounded lattice Σ n of non-decreasing lists \((a_1,\ldots,a_n)\in[0,+\infty]^n\) equipped with the natural (product) order. Using triangular conorms on [0, + ∞ ] and triangular norms on {0, 1,..., n} we describe different classes of appropriate triangular conorms on [0, + ∞ ] n .