Monotone method for fuzzy differential equations

@article{RodrguezLpez2008MonotoneMF,
  title={Monotone method for fuzzy differential equations},
  author={Rosana Rodr{\'i}guez-L{\'o}pez},
  journal={Fuzzy Sets and Systems},
  year={2008},
  volume={159},
  pages={2047-2076}
}
We develop the monotone iterative technique to approximate the extremal solutions for the initial value problem relative to a fuzzy differential equation in a fuzzy functional interval. To our procedure, it is crucial to have at our disposal fuzzy comparison results and several properties of sets of fuzzy functions and fuzzy numbers, including a compactness result in spaces of fuzzy functions, which are useful from the point of view of applications. © 2007 Elsevier B.V. All rights reserved. 

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