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The coefficients of the Taylor's series for a numeric differential system
are numeric coefficients.
Representing fuzzy values by cuts
makes it necessary to extend the Taylor's series to intervals at
different
cut levels.
[y_{min},y_{max}](t)= 
[y_{0min},y_{0max}]+ 






Using interval arithmetic the width of the result is always equal to the
sum of the widths of the two expressions. As a result, the width
of
[y_{min},y_{max}](t) becomes wider with t increasing. In the case of
a dynamic system,
the system output would be affected by an always increasing width,
independent of stability of other properties of the system. Most
likely the simulation result will reach regions of the
phase space where no numerical solution of the differential system pass
through, contradicting with the physical reality
described by the model.
Christoph Reich
19991222