Logical aggregation based on interpolative

Abstract

Explicit inclusion of logic in the process of aggregation (information fu- sion) is very important in real problems from many points of view such as adequacy and transparency. In this paper aggregation is treated as a logi- cal 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.