TY - CHAP
T1 - Mathematical modeling of natural phenomena
T2 - A fuzzy logic approach
AU - Margaliot, Michael
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34250666226&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-71258-9_7
DO - 10.1007/978-3-540-71258-9_7
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AN - SCOPUS:34250666226
SN - 3540712577
SN - 9783540712572
T3 - Studies in Fuzziness and Soft Computing
SP - 113
EP - 134
BT - Fuzzy Logic
A2 - Wang, Paul
A2 - Kerre, Etienne
A2 - Ruan, Da
A2 - Ruan, Da
PB - Springer Berlin Heidelberg
ER -