Metric framework and theory
You will want to rely not on a single metric but on a combination of metrics:
Definition -- Metric framework: A metric framework is a set of definitions of metrics.
Any metric work should be backed by a theory:
Definition -- Metric theory: A metric theory is a combination of:
- A metric framework
- A set of definitions of attributes (qualitative or quantitative)
- A mapping from the framework to the set of attributes, representing the hypothesis that each metric is a good predictor of the associated attribute
This note does not introduce a metric theory, but defines a metric framework by introducing a number of metrics.
Attributes, metrics and measures