Foundations of object-oriented software measures

The foundations of the properties of object-oriented software measures are presented. The criteria for these measures are characterized with several binary operations between objects, classes, methods, etc. Binary operations can be used as a tool to give numbers an interpretation above the ordinal scale level. The result of our investigation is that software measures for object-oriented programs mostly do not assume an extensive structure. In order to obtain qualitative criteria for object-oriented measures, the Dempster-Shafer belief function, the Kolmogoroff axioms and the DeFinetti axioms are introduced. These axioms give qualitative criteria for the use of object-oriented software measures between the weak order and the extensive structure.

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