  Yorioka [J. Symbolic Logic 67(4):1373-1384, 2002] introduced a class of
ideals (parametrized by reals) on the Cantor space to prove that the relation
between the size of the continuum and the cofinality of the strong measure zero
ideal on the real line cannot be decided in ZFC. We construct a matrix
iteration of ccc posets to force that, for many ideals in that class, their
associated cardinal invariants (i.e. additivity, covering, uniformity and
cofinality) are pairwise different. In addition, we show that, consistently,
the additivity and cofinality of Yorioka ideals does not coincide with the
additivity and cofinality (respectively) of the ideal of Lebesgue measure zero
subsets of the real line.
