We propose a new approach to assigning distance between fuzzy
numbers. A pseudo-metric on the set of fuzzy numbers and a metric on
the set of trapezoidal fuzzy numbers are described. The regular
reducing functions and the Hausdorff metric are used to define the
metric. Using this metric, we can approximate an arbitrary
generalized left right fuzzy number with a trapezoidal one. Finally,
powers and multiplication of trapezoidal fuzzy numbers are
approximated.
