Arithmetic Operations with Spiking Neural P Systems with Rules and Weights on Synapses
Keywords:
SN P Systems, Rules and Weights on Synapses, addition, multiplication, the greatest common divisorAbstract
The application of spiking neural P systems with rules and weights on synapses to arithmetic operations is discussed in this paper. We design specific spiking neural P systems with rules and weights on synapses for successfully performing addition, multiplication and the greatest common divisor. This is the first attempt to discuss the application of the new variant of spiking neural P systems, spiking neural P systems with rules and weights on synapses, and especially the use of spiking neural P systems to perform the greatest common divisor. Comparing with the results reported in the literature, smaller number of neurons are required to fulfill the arithmetic operations.References
Atanasiu, A.; Martinvide, C. (2001); Arithmetic with membranes, Romanian Journal of Information Science and Technology, 4(12), 5-20, 2001.
Ciobanu, G.; Paun, Gh.; Pérez-Jiménez, M.J. (2006); Applications of membrane computing, Springer, 2006.
Dzitac, I. (2015); Impact of membrane computing and P systems in ISI WoS. Celebrating the 65th Birthday of Gheorghe Paun, International Journal of Computers Communications & Control, 10(5), 617-626, 2015. https://doi.org/10.15837/ijccc.2015.5.2024
Guo, P.; Chen, H.; Zhang, H. (2015); An integrated P system for arithmetic operations, Journal of Computational & Theoretical Nanoscience, 12(10), 3346-3356, 2015. https://doi.org/10.1166/jctn.2015.4124
Ionescu, M.; Paun, Gh.; Yokomori, T. (2006); Spiking neural P systems, Fundamenta Informaticae, 71, 279-308, 2006.
Ionescu, M.; Sburlan, D. (2012); Some applications of spiking neural P systems, Computing and Informatics, 27(3), 515-528, 2012.
Kong, Y. (2005); Study on the computational power of spiking neural P system based on different biological background, Huazhong University of Science and Technology, 2005.
Naranjo, M.A.G.; Leporati, A.; Pan, L. (2009); Performing arithmetic operations with spiking neural P systems, Proc. of the Seventh Brainstorming Week on Membrane Computing, 11(4), 181-198, 2009.
Pan, L.; Paun, Gh. (2009); Spiking neural P systems with anti-spikes, International Journal of Computers Communications & Control, 4(3), 273-282, 2009. https://doi.org/10.15837/ijccc.2009.3.2435
Pan, L.; Paun, Gh.; Zhang, G.; Neri, F. (2017); Spiking neural P systems with communication on request, International Journal of Neural Systems, 27(8), 2017.
Pan, L.; Zeng, X.; Zhang, X.; Jiang, X. (2012); Spiking neural P systems with weighted synapses, Neural Processing Letters, 35(1), 13-27, 2012. https://doi.org/10.1007/s11063-011-9201-1
Paun, Gh. (2000); Computing with membranes, Journal of Computer and System Sciences, 61(1), 108-143, 2000. https://doi.org/10.1006/jcss.1999.1693
Paun, Gh. (2002); Membrane computing: an introduction, Theoretical Computer Science, 287(1), 73-100, 2002. https://doi.org/10.1016/S0304-3975(02)00136-6
Paun, Gh. (2016); Membrane computing and economics: A general view, International Journal of Computers Communications & Control, 11(1), 105-112, 2016. https://doi.org/10.15837/ijccc.2016.1.2160
Paun, Gh.; Rozenberg, G.; Salomaa, A. (2010); The oxford handbook of membrane computing, Oxford University Press, 2010.
Peng, H.; Wang, J.; Pérez-Jiménez, M.J.; Wang, H.; Shao, J.; Wang, T. (2013); Fuzzy reasoning spiking neural P system for fault diagnosis, Information Sciences, 235(6), 106- 116, 2013.
Song, T.; Gong, F.; Liu, X.; Zhao, Y.; Zhang, X. (2016); Spiking neural P systems with white hole neurons, IEEE Transactions on Nanobioscience, 15(7), 666-673, 2016. https://doi.org/10.1109/TNB.2016.2598879
Song, T.; Pan, L. (2015); Spiking neural P systems with rules on synapses working in maximum spikes consumption strategy, IEEE Transactions on NanoBioscience, 14(1), 38- 44, 2015. https://doi.org/10.1109/TNB.2014.2367506
Song, T.; Pan, L.; Paun, Gh. (2014); Spiking neural P systems with rules on synapses, Theoretical Computer Science, 529, 82-95, 2014. https://doi.org/10.1016/j.tcs.2014.01.001
Song, T.; RodrÃguez-Patón, A.; Zheng, P.; Zeng, X. (2017); Spiking neural P systems with colored spikes, IEEE Transactions on Cognitive & Developmental Systems, doi: 10.1109/TCDS.2017.2785332, 2017. https://doi.org/10.1109/TCDS.2017.2785332
Song, T.; Zheng, P.; Wong, M.L.D.; Wang, X. (2016); Design of logic gates using spiking neural P systems with homogeneous neurons and astrocytes-like control, Information Sciences, 372, 380-391, 2016. https://doi.org/10.1016/j.ins.2016.08.055
Wang, J.; Hoogeboom, H.J.; Pan, L.; Paun, Gh.; Pérez-Jiménez, M.J. (2010); Spiking neural P systems with weights, Neural Computation, 22(10), 2615-2646, 2010. https://doi.org/10.1162/NECO_a_00022
Wang, J.; Shi, P.; Peng, H.; Pérez-Jiménez, M.J.; Wang, T. (2013); Weighted fuzzy spiking neural P systems, IEEE Transactions on Fuzzy Systems, 21(2), 209-220, 2013. https://doi.org/10.1109/TFUZZ.2012.2208974
Wang, T.; Zhang, G.; Zhao, J.; He, Z.; Wang, J.; Pérez-Jiménez, M.J. (2015); Fault diagnosis of electric power systems based on fuzzy reasoning spiking neural P systems, IEEE Transactions on Power Systems, 30(3), 1182-1194, 2015. https://doi.org/10.1109/TPWRS.2014.2347699
Zeng, X.; Song, T.; Zhang, X.; Pan, L. (2012); Performing four basic arithmetic operations with spiking neural P systems, IEEE Transactions on Nanobioscience, 11(4), 366-374, 2012. https://doi.org/10.1109/TNB.2012.2211034
Zeng, X.; Xu, L.; Liu, X.; Pan, L. (2014); On languages generated by spiking neural P systems with weights, Information Sciences, 278(10), 423-433, 2014.
Zeng, X.; Zhang, X.; Song, T.; Pan, L. (2014); Spiking neural P systems with thresholds, Neural Computation, 26(7), 1340-1361, 2014. https://doi.org/10.1162/NECO_a_00605
Zhang, G.; Cheng, J.; Gheorghe, M.; Meng, Q. (2013); A hybrid approach based on differential evolution and tissue membrane systems for solving constrained manufacturing parameter optimization problems, Applied Soft Computing, 13(3), 1528-1542, 2013. https://doi.org/10.1016/j.asoc.2012.05.032
Zhang, G.; Pérez-Jiménez, M.J.; Gheorghe, M. (2017); Real-life applications with membrane computing, Springer International Publishing, 2017.
Zhang, G.; Rong, H.; Neri, F.; Pérez-Jiménez, M.J. (2014); An optimization spiking neural P system for approximately solving combinatorial optimization problems, International Journal of Neural Systems, 24(5), 450-3642, 2014.
Zhang, G.; Rong, H.; Ou, Z.; Pérez-Jiménez, M.J.; Gheorghe, M. (2014); Automatic design of deterministic and non-halting membrane systems by tuning syntactical ingredients, IEEE Transactions on NanoBioscience, 13(3), 363-371, 2014. https://doi.org/10.1109/TNB.2014.2341618
]Zhang, X.; Zeng, X.; Pan, L.; Luo, B. (2009); A spiking neural P system for performing multiplication of two arbitrary natural numbers, Chinese Journal of Computers, 32(12): 2362-2372, 2009.
[Online]. Available: ppage.psystems.eu.
[Online]. Available: en.wikipedia.org/wiki/Greatest_common_divisor.
Published
Issue
Section
License
ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.
You are free to:
-Share: copy and redistribute the material in any medium or format;
-Adapt: remix, transform, and build upon the material.
The licensor cannot revoke these freedoms as long as you follow the license terms.
DISCLAIMER: The author(s) of each article appearing in International Journal of Computers Communications & Control is/are solely responsible for the content thereof; the publication of an article shall not constitute or be deemed to constitute any representation by the Editors or Agora University Press that the data presented therein are original, correct or sufficient to support the conclusions reached or that the experiment design or methodology is adequate.