Logical aggregation based on interpolative boolean algebra

Explicit inclusion of logic in the process of aggregation (information fusion) is very important in real problems from many points of view such as adequacy and transparency. In this paper aggregation is treated as a logical and/or pseudo-logical operation based on interpolative Boolean algebra (IBA). IBA is a real-valued ([0, 1]-valued) realization of Boolean algebra. As classical two-valued realization of Boolean algebra is the base of classical two-valued logic, IBA is the base of real-valued logic.