Algorithms for Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected Interval

  • Przemysław Grzegorzewski
Chapter
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 249)

Abstract

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper approximations are proposed. It is shown that the adequate approximation operator is chosen with respect both to the global spread of a fuzzy number and the size of possible asymmetry between the spread of the left-hand and right-hand part of a fuzzy number.

Keywords

fuzzy numbers approximation of fuzzy numbers expected interval expected value width ambiguity value of a fuzzy number 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Przemysław Grzegorzewski
    • 1
    • 2
  1. 1.Systems Research InstitutePolish Academy of SciencesWarsawPoland
  2. 2.Faculty of Mathematics and Information ScienceWarsaw University of TechnologyWarsawPoland

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