Abstract
This manuscript investigates the capacity of the so-called p-fuzzy systems to model both discrete and continuous dynamic systems. Recall that one can apply a p- fuzzy system in order to combine fuzzy rule-based systems (FRBSs) and classical numerical methods to simulate the dynamics of an evolutionary system. Here, we focus on the well-known discrete and continuous Logistic models that can be used to represent several problems of Biomathematics such as dynamic population. We conduct a series of simulations using both continuous and discrete models for several growth rates. We obtain qualitative and quantitative results similar to the analytical solutions, including bifurcations in the discrete case.
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Acknowledgments
This research was partially supported by FAPESP under grants no. 2018/10946-2, and 2016/26040-7, and CNPq under grant no. 306546/2017-5.
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Sánchez, D.E., Esmi, E., de Barros, L.C. (2019). Discrete and Continuous Logistic p-Fuzzy Models. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_49
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DOI: https://doi.org/10.1007/978-3-030-21920-8_49
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