Interpolative GCD aggregators

This paper investigates the structure and properties of interpolative generalized conjunction/disjunction (GCD) aggregators. The main advantage of interpolative aggregators is the possibility to include suitable properties and to exclude inconvenient properties of aggregators. Using this method we can create new forms of logic aggregators by interpolating between heterogeneous base aggregators, i.e. aggregators that belong to different families and have different logic properties. The resulting interpolative aggregators then extend the desirable properties inherited from the base aggregator classes. We propose a general interpolative GCD aggregator (IGCD) and its important uniform special case. I GCD can be used to build compound aggregators and complex logic aggregation structures with suitable logic properties.