In this paper, we introduce the notion of residual domination, which is a stronger version of the usual concept of domination. Then, we show how a family of partial T-indistinguishability operators can be aggregated into one operator using residual domination. This new idea allows the use of partial T-indistinguishability operators instead of T-indistinguishability operators, thus providing a wider variety of operators when we need to apply them to real-life problems. Additionally, we present a practical application to the image recognition problem by using T-indistinguishability operators and partial T-indistinguishability operators. Finally, we give an illustrative example to explain the proposed technique.