Measuring the quality of discrete representations of efficient sets in multiple objective mathematical programming (Q1575074)

This paper deals with the discrete representation of the efficient set in multiobjective mathematical programming. The author gives a mathematical definition of a discrete representation of efficient sets and for assessing the quality of a given representation he introduces the notions of a coverage error \(\epsilon\) and a uniformity level \(\delta\) measured in a metric \(d\). For computing the values of such quality attributes, mixed integer programming formulations are proposed. The linear case is discussed in a tractable way.