1989 Volume 2 Issue 1 Pages 35-45
The aim of this paper is to get a multidimensional scale for asymmetric dissimilarities. As a first step of this scaling, a distance representation of asymmetric dissimilarities is performed using an asymmetrical metric function (asymmetric distance function). For this purpose, Minkowski space is discussed as a model of the space which has the asymmetrical metric function. In this space, a concrete class of the asymmetrical metric function. In this space, a concrete class of the asymmetrical metric function is obtained using a concept of oval or ovaloid. We applied these metric function to MDA (Minimum Dimension Analysis) for a sociometric data.
