Distance-based software measurement: necessary and sufficient properties for software measures

Axiomatic approaches to software measurement present sets of necessary, but not sufficient measure axioms. The insufficiency of the measure axioms implies that they are useful to invalidate existing software measures, but not to validate them. In this paper, a set of measure axioms is presented whose sufficiency is guaranteed by measurement theory. The axioms referred to are the metric axioms, used in mathematics to define measures of distance. We present a constructive procedure that defines software measures satisfying these axioms. As an illustration of distance-based software measurement, a measure is defined for the aggregation coupling of object classes.