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The Computer Journal Advance Access originally published online on July 20, 2006
The Computer Journal 2006 49(5):619-628; doi:10.1093/comjnl/bxl029
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© The Author 2006. Published by Oxford University Press on behalf of The British Computer Society. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Fuzzifying P Systems

Apostolos Syropoulos

Greek Molecular Computing Group 366, 28th October Street, GR-671 00 Xanthi, Greece

Email: asyropoulos{at}yahoo.com

Uncertainty is an inherent property of all living systems. Curiously enough, computational models inspired by biological systems do not take, in general, under consideration this essential aspect of living systems. In this paper, after introducing the notion of a multi-fuzzy set (i.e. an orthogonal approach to the fuzzification of multisets), we introduce two variants of P systems with fuzzy components: P systems with fuzzy data and P systems with fuzzy multiset rewriting rules. By silently assuming that fuzzy data are not the result of some fuzzification process, P systems with fuzzy data are shown to be a promising step towards real hypercomputation. On the other hand, P systems with fuzzy multiset rewriting rules are shown to be equivalent to fuzzy Turing machines. The paper concludes with remarks concerning the present work and future research.

Key Words: P systems • fuzzy set theory • computability


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