Nearest piecewise linear approximation of fuzzy numbers

作者:Coroianu Lucian; Gagolewski Marek; Grzegorzewski Przemyslaw*
来源:Fuzzy Sets and Systems, 2013, 233: 26-51.
DOI:10.1016/j.fss.2013.02.005

摘要

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.

  • 出版日期2013-12-16