Partial approximation of multisets and its applications in membrane computing

Abstract

Partial nature of real-life problems requires working out partial approximation schemes. Partial approximation of sets is based on classical set theory. Its generalization for multisets gives a plausible opportunity to introduce an abstract concept of "to be close enough to a membrane" in membrane computing. The paper presents important features of general (maybe partial) multiset approximation spaces, their lattice theory properties, and shows how partial multiset approximation spaces can be applied to membrane computing. © 2013 Springer-Verlag.