Chiral fuzzy objects

For a chiral fuzzy object A, the largest achiral fuzzy object that fits within A, as well as the smallest achiral fuzzy object that contains A, are of special importance. Following the method used for general symmetry deficiencies, one may compare the masses m of these fuzzy objects, and use these comparisons to evaluate the degree of the deviation of the fuzzy object A from achirality. To avoid pathological cases, we shall follow the restriction used for general symmetry deficiencies and consider only fuzzy objects A that have finite, nonzero mass and are nowhere infinitely thin. ... 

For a chiral fuzzy object A, the largest achiral fuzzy object that fits within A, as well as the smallest achiral fuzzy object that contains A, are of special importance. 

The fuzzy measures of symmetry deficiency, fuzzy chirality, fuzzy symmetry, and fuzzy symmetry groups described in Section IV in terms of the fuzzy Hausdorff-type metrics provide new tools for the characterization and comparison of fuzzy objects. However, the computation of the fuzzy Hausdorff-type metric is often cumbersome and alternative formulations may have certain advantages. 

---