  This article is meant to give a lucid and widely accessible, self-contained
account of a novel way of performing arithmetic operations on fuzzy intervals.
Based on two formulae of generalized inversion (the first in close analogy to
the inversion of cumulative distribution functions in probability and
statistics, and subsequent re-inversion which in this form seems to be new in
the literature) the technique could prove to be of some importance for the
practical handling of fuzzy intervals whose characterizing functions are
discontinuous and/or not strictly monotonic, e.g. piecewise constant.
Notwithstanding its innovative nature, the article is written in the style of
an introductory textbook featuring a multitude of illustrated examples.
