ANALYSIS OF ASYMMETRIC PROXIMITY MATRIX BY A MODEL OF DISTANCE AND ADDITIVE TERMS

This paper proposes a model to analyze asymmetric matrix of proximity, of which form is expressed in terms of distance and additive parameters. Two versions of the model are treated, one for matrix with diagonal entries, the other for matrix with diagonal elements undefined. For infallible data, necessary and sufficient conditions are considered, and algebraic solutions are suggested. To deal with fallible data, we propose scaling procedures based on least squares criteria. Applications are provided for demonstration.