The topic of combining the ordered weighted average (for short, OWA) operators and weighted average means (for short, WAM) has been extensively researched. This approach has become a prominent method for extending OWA operators. When using mixed indices that incorporate traits from both WAMs and OWAs, two independent sets of weights are required. The weights in WAM are value-focused, while those in OWA are order-focused. This work explores how two independent weights of vectors can be merged to create a single operator that integrates characteristics from both WAMs and, to a lesser extent, OWAs. The resulting operator is expressed as a Choquet integral defined by a 2-additive capacity. In this way, the proposed index uses capacities without requiring further additional information.