Fuzzy Lyapunov-based approach to the design of fuzzy controllers
Fuzzy Sets and Systems - Special issue on fuzzy modeling and dynamics
Analytical approximations for real values of the Lambert W-function
Mathematics and Computers in Simulation
Biologically-Inspired Intelligent Robots
Biologically-Inspired Intelligent Robots
Fuzzy logic = computing with words
IEEE Transactions on Fuzzy Systems
Are artificial neural networks black boxes?
IEEE Transactions on Neural Networks
Nicholson's blowflies revisited: A fuzzy modeling approach
Fuzzy Sets and Systems
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We apply fuzzy modeling to derive a mathematical model for a biological phenomena: the orientation to light of the planarian Dendrocoleum lacteum. This behavior was described by several ethologists and fuzzy modeling allows us to transform their verbal descriptions into a mathematical model. The behavior of the resulting mathematical model, as studied using both simulations and rigorous analysis, is congruent with the behavior actually observed in nature. This seems to indicate that the verbal explanations suggested by the ethologists are indeed correct. We believe that the fuzzy modeling approach demonstrated here may supply a suitable framework for biomimicry, that is, the design of artificial systems based on mimicking a natural behavior observed in nature.