A note on pseudometrics aggregation
This paper deals with pseudometrics aggregation, that is, it studies how to combine a collection of such operators in order to obtain a single one as output. It shows how this problem may be solved in terms of a closely-related one, known as metric preservation, for which different conditions and a characterization are available. The particular case of bounded pseudometrics is also addressed, and, finally, the obtained results are applied to some common aggregation operators.
pseudometrics aggregation metric preservation aggregation operators metrics and pseudometrics