Abstract
Active cell components involved in real biological processes have to be close enough to a membrane in order to be able to pass through it. Rough set theory gives a plausible opportunity to model boundary zones around cell-like formations. However, this theory works within conventional set theory, and so to apply its ideas to membrane computing, first, we have worked out an adequate approximation framework for multisets. Next, we propose a two–component structure consisting of a P system and an approximation space for multisets. Using the approximation technique, we specify the closeness around membranes, even from inside and outside, via boundaries in the sense of multiset approximations. Then, we define communication rules within the P system in such a way that they operate in the boundary zones solely. The two components mutually cooperate.
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Mihálydeák, T., Csajbók, Z.E. (2013). Membranes with Boundaries. In: Csuhaj-Varjú, E., Gheorghe, M., Rozenberg, G., Salomaa, A., Vaszil, G. (eds) Membrane Computing. CMC 2012. Lecture Notes in Computer Science, vol 7762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36751-9_19
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DOI: https://doi.org/10.1007/978-3-642-36751-9_19
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