Communication Rules Controlled by Generated Membrane Boundaries

In natural processes, the events represented by communication rules in membrane computing are taken place in the vicinity of membranes. Looking at regions as multisets, partial approximation spaces generalized for multisets give a plausible opportunity to model membrane boundaries in an abstract way. Thus, motivated by natural phenomena, the abstract notion of "to be close enough to a membrane" can be built in membrane computing. Restricting communication rules to these boundaries, the interactions along the membranes can be controlled locally during the membrane computations.