The use of semi-qualitative reasoning and probability distributions in assessing possible behaviours of a socio-economic system

摘要

In this paper we describe a new method suitable for dealing with semi-quantitative differential equations (SQDEs). Our method yields more restrict information than other methods used to introduce some quantitative information into qualitative differential equations (QDEs) such as NSIM, NIS, Q2, Q3 and others. It is based on the theory of differential inclusions and yields on ODE which describes the boundary of the attainable set exactly and avoids the so-called wrapping effect and the interactivity problem completely.