Elsevier

Fuzzy Sets and Systems

Volume 233, 16 December 2013, Pages 26-51
Fuzzy Sets and Systems

Nearest piecewise linear approximation of fuzzy numbers

https://doi.org/10.1016/j.fss.2013.02.005Get rights and content

Abstract

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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