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Differential Equations based on Fuzzy Rules
2009
European Society for Fuzzy Logic and Technology
The purpose of this paper is to use the Fuzzy Set Theory, specially fuzzy rule-based systems, as a mathematical tool for modeling dynamical systems given by differential equation, whose direction field is f (IVP-f ). As fuzzy systems methodology produces input-output systems, that is, it produces m outputs from n inputs, one can see it as fr : R n → R m , where r is the number of rules of the rule base. Under certain assumptions, one can prove that the functions (fr) have good analytical
dblp:conf/eusflat/DiasB09
fatcat:qgc44euekrhvdm4ux3shabhn4q