Solution Domain of Band Function Model Paired Comparison Method and New Algorithm for Solution Domain Renewal

Abstract

Band function model paired comparison (BMPC) method is effective for scaling of ambiguity quantity in the case such as sensory evaluation. The solution algorithm for BMPC method needs a large memory capacity and spents a lot of time. This reason is that the conventional method didn't utilize the functional relation between edge vectors and hyper planes on the solution domain. In this paper, we consider some natures of the inequalities to obtain solution domain and discuss about the edge vectors expressing solution domain. And we proposed the new effective algorithm to renewal solution domain based on the revealed natures of the inequalities. The new algorithm is examined and improved calculational performance are shown in the point of view of calculation time and memory capacities.