We present several models to obtain a simple parametric representation of fuzzy numbers of intervals, based on the use of piecewise monotonic functions of different forms. the representations have the advantage of allowing flexible and easy to control shapes of the fuzzy numbers and can be used directly to obtain error-controlled-approximations of the fuzzy calculus in terms of a finite set of parameters. The proposed model is called the Lower-Upper representation and we denote the associated fuzzy numbers of intervals as LU-fuzzy.
Parametric Representations of Fuzzy Numbers and Applications
LUCIANO STEFANINI
;LAERTE SORINI
;MARIA LETIZIA GUERRA
2004
Abstract
We present several models to obtain a simple parametric representation of fuzzy numbers of intervals, based on the use of piecewise monotonic functions of different forms. the representations have the advantage of allowing flexible and easy to control shapes of the fuzzy numbers and can be used directly to obtain error-controlled-approximations of the fuzzy calculus in terms of a finite set of parameters. The proposed model is called the Lower-Upper representation and we denote the associated fuzzy numbers of intervals as LU-fuzzy.File in questo prodotto:
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