A Subspace Multi-Relation Model for the Expression of System Complexity

Abstract

Modeling expression of complexity is one of the frontier research fields in system science. Classical graphical models characterize two-relations but lack of the ability of depicting multi-relations among objects in a system. In this paper, a multi-relation expression model is proposed based the subspaces of the attribute space of objects in a system. Properties of the multi-relation model are analyzed and an algorithm is provided to find the multi-relation subspaces in a data set. The relationship between the multi-relation model and a hyper graphical model is also discussed.