Nearest piecewise linear approximation of fuzzy numbers

نویسندگان

  • Lucian C. Coroianu
  • Marek Gagolewski
  • Przemyslaw Grzegorzewski
چکیده

The problem of the nearest approximation of fuzzy numbers by piecewise linear 1-knot fuzzy numbers is discussed. By using 1-knot fuzzy numbers one may obtain approximations which are simple enough and flexible to reconstruct the input fuzzy concepts under study. They might be also perceived as a generalization of the trapezoidal approximations. Moreover, these approximations possess some desirable properties. Apart from theoretical considerations approximation algorithms that can be applied in practice are also given.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 233  شماره 

صفحات  -

تاریخ انتشار 2013