Weighted ordinal means

The concept of weighted ordinal arithmetic means and other related weighted ordinal means is studied. Based on the relevant results on the scale [0, 1], new types of weighted ordinal means are proposed. In some cases these ordinal means coincide with those proposed by Godo and Torra, but not in the case when ordinal means introduced by them are not idempotent. Based on divisible ordinal t-conorms and modifying the approach of Godo and Torra, we show how the previously introduced weighted ordinal means can be obtained without exploiting the formal similarity of the structure of continuous t-conorms on [0, 1] and divisible ordinal t-conorms.