A fuzzy approach to membrane computing with approximate copies

Membrane computing is a formal computational paradigm, invented in 1998 by Gh. Păun [5], that rewrites multisets of objects within a spatial structure inspired by the membrane structure of living cells and according to evolution rules that are reminiscent of the processes that take place inside cells. In this paper we use techniques based on fuzzy sets to develop a general membrane computing model that takes into account the imperfection of the reactives involved in computations. I.e., the fact that the actual objects used in computations, as well as the actual output of the latter, need not be exact copies of the reactives that are assumed to be used in the computations or to be produced by them but only approximate copies. This is a generalization of our previous work [1]. Other fuzzy approaches to membrane computing have been proposed in [3, 4, 6]. This work has been partially supported by the Spanish DGES, project BFM2003-00771.