Approximation capabilities of multilayer fuzzy neural networks on the set of fuzzy-valued functions

  • Authors:
  • Huan Huang;Congxin Wu

  • Affiliations:
  • Department of Mathematics, Jimei University, Xiamen 361021, China;Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

This paper first introduces a piecewise linear interpolation method for fuzzy-valued functions. Based on this, we present a concrete approximation procedure to show the capability of four-layer regular fuzzy neural networks to perform approximation on the set of all d"p continuous fuzzy-valued functions. This approach can also be used to approximate d"~ continuous fuzzy-valued functions. An example is given to illustrate the approximation procedure.