Constructing Choquet integral-based operators that generalize weighted means and OWA operators

• A new class of aggregation operators is proposed to generalize weighted means and OWA operators.
• SUOWA operators are defined by using Choquet integral.
• These operators are continuous, monotonic, idempotent, compensative and homogeneous of degree 1 functions.

In this paper we introduce the semi-uninorm based ordered weighted averaging (SUOWA) operators, a new class of aggregation functions that, as WOWA operators, simultaneously generalize weighted means and OWA operators. To do this we take into account that weighted means and OWA operators are particular cases of Choquet integral. So, SUOWA operators are Choquet integral-based operators where their capacities are constructed by using semi-uninorms and the values of the capacities associated to the weighted means and the OWA operators. We also show some interesting properties of these new operators and provide examples showing that SUOWA and WOWA operators are different classes of aggregation operators.