Triangle functions on spaces of distance discrete distribution functions

摘要

In this paper we deal with the study of triangle functions defined on the class Δ_n~+ of distance distribution functions with range in {0, 1/n..., (n-1)/n, 1}, where n is a given positive integer. This study can be formulated in terms of triangular conorms on the set ∑_n of non-decreasing n-lists (a_1...,a_n) ∈ [0, +∞]~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.