Arithmetic of Fuzzy Sets

  • Andrzej Piegat
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 69)


Fuzzy numbers may be applied, for example, in the modeling of a system of a known input/output mapping given in terms of a conventional mathematical model y = f (X), where the input signals cannot be measured precisely but only approximately, e.g.:
$$\begin{array}{*{20}{c}} {{x_1} = approx.9,}\\ {{x_1} = approx.10,}\\ {y = {x_1} + {x_2}.} \end{array}$$


Membership Function Fuzzy Number Extension Principle Crisp Number SISO System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Andrzej Piegat
    • 1
  1. 1.Faculty of Computer Science and Information SystemsTechnical University of SzczecinSzczecinPoland

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