aSystems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
bFaculty of Mathematics and Information Sciences, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warsaw, Poland
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, width, its value and weighted expected value.