Approximating Non-discrete P Systems

The main goal of this paper is to propose some geometric approaches to the computations of non-discrete P systems. The behavior of this kind of P systems is similar to that of classic systems, with the difference that the contents of the membranes are represented by non-discrete multisets (the multiplicities can be non-integers) and, consequently, also the number of applications of a rule in a transition step can be non-integer.