Journal
FUZZY SETS AND SYSTEMS
Volume 159, Issue 11, Pages 1354-1364Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2007.12.001
Keywords
fuzzy numbers; approximation of fuzzy numbers; expected interval; ambiguity; value of a fuzzy number; width; weighted expected value
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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. (c) 2007 Elsevier B.V. All rights reserved.
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