Fuzzy Sets pp 93-121 | Cite as

Fuzzy Dynamical Systems and the Nature of Their Solutions

  • Abraham Kandel


The main thrust of this paper is to examine solutions to differential equations with fuzzy coefficients. Almost all problems in physics, engineering, biology, economics and other sciences to which mathematical methods are applicable are basically nondeterministic rather than deterministic. From the standpoint of applications, the modelling of such nondeterministic systems has been implemented via stochastic structures rather than fuzzy. It is thus the objective of this paper to give a careful presentation of the fuzzy approach to the solution of imprecise differential equations, by using the theory of fuzzy statistics, and to explore its applications to problems in science and engineering.


Subjective Probability Fuzzy Measure Fuzzy Statistic Fuzzy Differential Equation Unit Path Length 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Abraham Kandel
    • 1
  1. 1.Computer ScienceFlorida State UniversityTallahasseeUSA

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