Furthermore it is caused by the intrinsic wrapping effect of the interval arithmetic
For more information on interval arithmetic
, the reader is encouraged to consult .
Actually, interval arithmetic
can not recognize the multiple occurrence of the same variable [x].
When interval arithmetic
is implemented on a computer, the parameters defining the result interval are computed in floating point arithmetic from the parameters defining the interval operands.
Also, both extensions satisfy a property called inclusion monotonicity (given inputs, extension generates the widest possible bounds) which is similar to the extreme principle of interval arithmetic
Comparison of packages for interval arithmetic
, Informatica 16(1): 145-154.
LIA INC++ Overloads C++ arithmetic into extended interval arithmetic
Uncertainty analysis of indirect-grouping maintenance strategy using an interval arithmetic
Furthermore, we suppose that an interval arithmetic
evaluation f ([x]) on a given interval [x] exists.
Section 3 presents a brief introduction to interval arithmetic
Along with traditional content they include material rarely found in numerical analysis texts, such as interval arithmetic
, elementary functions, operator series, convergence acceleration and continued fractions.
To be able to perform fuzzy multiplication and addition with interval arithmetic
and level of confidence [alpha] the equation (2) is transferred into: