@misc{Coroianu_Lucian._Autor_Piecewise_2013,
 author={Coroianu, Lucian. Autor and Gągolewski, Marek. Autor and Grzegorzewski, Przemysław Wojciech. Autor and Firozja, M. Adabitabar. Autor and Houlari, Tahereh. Autor},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2013},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={A reasonable approximation of a fuzzy number should have a simple membership function, be close to the input fuzzy number, and should preserve some of its important characteristics. In this paper we suggest to approximate a fuzzy number by a piecewise linear 1-knot fuzzy number which is the closest one to the input fuzzy number among all piecewise linear 1-knot fuzzy numbers having the same core and the same support as the input. We discuss the existence of the approximation op­erator, show algorithms ready for the practical use and illustrate the considered concepts by examples. It turns out that such an approxima­tion task may be problematic.},
 title={Piecewise Linear Approximation of Fuzzy Numbers Preserving the Support and Core},
 type={Text},
 keywords={Fuzzy numbers, Liczby rozmyte, Approximation of fuzzy numbers, Aproksymacja liczb rozmytych, Aproksymacja, Piecewise linear approximation, Core, Odcinkowa aproksymacja liniowa, Support, Baza, Jądro},
}