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Simulation of Imprecise Ordinary Differential Equations Using Evolutionary Algorithms

Christoph Reich
University of Applied Science
Gerwigstr. 11
78120 Furtwangen
Germany

30 November 1999

reich@ai-lab.fh-furtwangen.de

Abstract:

This paper proposes a new approach, Interactive Evolutionary Algorithm Approach, for solving differential equations given imprecise initial values and/or imprecise differential equation parameters. A modified Evolutionary Algorithm with fuzzy sets representing the imprecise values simulates an imprecise ordinary differential equation.