PARTITION OF SYSTEMS' BEHAVIORS

Abstract

The general problem to be considered in this paper is as follows: Given a general system defined by m attributes, find a meaningful partition of systems’ behaviors. Using an order preserving mapping from a space of m attributes into an m‐dimensional Euclidean space, a partitioning criterion of systems' behaviors is defined. Then, its mathematical properties are studied, on the basis of the usual hyperplane separation theorem and of the existence theorem of ton Neumann and Morgenstern's utility function.