@misc{Grzegorzewski_Przemysław_Wojciech._Autor_Trapezoidal_2007, author={Grzegorzewski, Przemysław Wojciech. Autor}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2007}, 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 discussed. Algorithms for calculating the proper approximations are proposed and some properties of the approximation operators are discussed. It is shown that an adequate approximation operator might be chosen through the comparisons of some characteristics of the fuzzy number, like its ambiguity and width or its value and weighted expected value.}, title={Trapezoidal approximations of fuzzy numbers preserving the expected interval – algorithms and properties}, type={Text}, keywords={Fuzzy numbers, Liczby rozmyte, Approximation of fuzzy numbers, Expected interval, Aproksymacja liczb rozmytych, Aproksymacja, Ambiguity, Value of a fuzzy number, Width, Weighted expected value, Ważona wartość oczekiwana}, }