On mathematical modelling of synthetic measures

Abstract

This work deals with some properties of synthetic measures designed to differentiate objects in a multidimensional analysis. The aggregate synthetic measures are discussed here to rank the objects including those validating the concentration spread. The paper shows that currently used various measures (based either on a single or a multiple model object) do not satisfy the necessary conditions requested to be met by a "good" synthetic measure.

Keywords

• synthetic measure, development pattern, reverse problem