Reconstructed weighted aggregation operator

Every aggregation operator can embody a certain aggregation style pertaining to some detailed evaluation practice. Actually, with these aggregation styles preserved, additional weight functions can further influence the aggregation processes by reconstructing the innate aggregation structures. The advantage is significant because weight functions are commonly used in information fusion and it sometimes is necessary that the weight functions and the original aggregation styles can be embodied simultaneously. To fulfill this aim, we propose and analyze the reconstructed weighted aggregation operators. The method is based on the principle of factorization -reconstruction. Apart from providing a novel aggregation mechanism to simultaneously consider weights and, in some rough sense, original aggregation styles, the proposed aggregation mechanism has some significant mathematical properties such as uniform continuity with respect to weights.