Mathematical modeling of natural phenomena: A fuzzy logic approach

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In many fields of science human observers have provided verbal descriptions and explanations of various systems. A formal mathematical model is indispensable when we wish to rigorously analyze these systems. In this chapter, we survey some recent results on transforming verbal descriptions into mathematical models using fuzzy modeling. This is a simple and direct approach that offers a unique advantage: the close relationship between the verbal description and the mathematical model can be used to verify the validity of the verbal explanation suggested by the observer. We review two applications of this approach from the field of ethology: fuzzy modeling of the territorial behavior of fish, and of the orientation to light of a flat worm. 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.

Original languageEnglish
Title of host publicationFuzzy Logic
Subtitle of host publicationA Spectrum of Theoretical and Practical Issues
EditorsPaul Wang, Etienne Kerre, Da Ruan, Da Ruan
PublisherSpringer Berlin Heidelberg
Pages113-134
Number of pages22
ISBN (Print)3540712577, 9783540712572
DOIs
StatePublished - 2007

Publication series

NameStudies in Fuzziness and Soft Computing
Volume215
ISSN (Print)1434-9922

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