Trapezoidal approximations of fuzzy numbers

  • Authors:
  • Przemysław Grzegorzewski;Edyta Mrówka

  • Affiliations:
  • Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland;Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2005

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Abstract

The problem of the trapezoidal approximation of fuzzy numbers is discussed. A set of criteria for approximation operators is formulated. These constraints can be used for direct operator derivation. A new nearest trapezoidal approximation operator preserving expected interval is suggested.