Classical Dynamical Systems with Fuzzy Rule-Based Parameters
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Along chapters 8 and 9 we presented several approaches to treat the uncertainties in dynamical systems applied to epidemic problems. We have also discussed the limitations and advantages of those techniques comparing them to each other. While chapter 8 is devoted to dynamical systems based only on fuzzy linguistic rules structure, chapter 9 presents different mathematical ways to apply fuzzy differential equations, considering the uncertainties of variables or parameters of a classical differential equation system, based on the fuzzification of them using fuzzy sets. In the first approach the most important limitation is the explosion of number of rules and dependence of the expert knowledge, which is particularly true in epidemic studies. In contrast, the largest difficulty found in chapter 9 approaches is the complexity of the calculations, particularly if we want to fuzzify more than one parameter. In fact, to analyze the FEV structure considering two or more parameters as fuzzy sets is a really hard task, from the mathematical point of view.
KeywordsViral Load Membership Function Fuzzy Number Fuzzy Model Uninfected Cell
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