@misc{Grzegorzewski_Przemysław_Wojciech._Autor_Natural_2012, author={Grzegorzewski, Przemysław Wojciech. Autor and Pasternak-Winiarska, K.. 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={Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is considered. New operators that fulfill additional requirements for the core and support of the fuzzy number are suggested. These supplemen­tary conditions guarantee the proper interpretation of the solution even for very skew input fuzzy numbers. Moreover, the trapezoidal approximation without ex­pected interval invariance is also examined and the relationship between these two approximations is discussed.}, title={Natural Trapezoidal Approximations of Fuzzy Numbers}, type={Text}, keywords={Fuzzy numbers, Liczby rozmyte, Expected interval, Trapezoidal approximation, Aproksymacja trapezowa, Core, Przedział oczekiwany, Support, Jądro, Trapezoidal fuzzy number, Trapezoidalna liczba rozmyta}, }