Optimization model and dss for maximum resolution dichotomies

Abstract

A topological model is presented for complex data sets in which the attributes can be cast into a dichotomy. It is shown that the relative dominance of the two parts in such a dichotomy can be measured by the corresponding areas in its star plot. An optimization model is proposed to maximize the resolution of such a measure by choice of configuration of the attributes, as well as the angles among them. The approach is illustrated with the case of online auction markets, where there is a buyer-seller dichotomy as to whether conditions are favourable to buyers or sellers. An implementation of the methodology in a spreadsheet based DSS is demonstrated. Its ease of use is promising for diverse applications. Data mining, decision support system, maximum resolution.