Definition of general aggregation operators through similarity relations
The paper offers a general approach to the concept of aggregation operators. A method for generating such operators is studied and the main attention is focused on a meaningful, simple and general interpretation of their mathematical formalism. For this purpose, the aggregation operators are percepted as different methods to measure distances to an essential reference point of the measured space. Every general aggregation operator can be associated with a corresponding metric in which the result of its application is equal to the distance to the considered reference point. It is also shown that classical operators are specific cases of the proposed general semantic model.
scientific article; zbMATH DE number 1517322
scientific article