Trapezoidal approximations of fuzzy numbers preserving the expected interval--- Algorithms and properties

Authors:
Przemysław Grzegorzewski
Affiliations:
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland and Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Plac Politechnik ...
Venue:
Fuzzy Sets and Systems
Year:
2008

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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.