@misc{Coroianu_Lucian._Autor_Nearest_2012, author={Coroianu, Lucian. Autor and Gągolewski, Marek. Autor and Grzegorzewski, Przemysław Wojciech. Autor}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2012}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, 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.}, title={Nearest Piecewise Linear Approximation of Fuzzy Numbers}, type={Text}, keywords={Fuzzy numbers, Liczby rozmyte, Approximation of fuzzy numbers, Aproksymacja liczb rozmytych, Aproksymacja, Piecewise linear approximation, Odcinkowa aproksymacja liniowa}, }