  We consider strangeness correlations of the EPR type in K^0 \bar{K}^0 pairs
created in a J^{PC} = 1^{--} state as a function of time under the hypothesis
that spontaneous decoherence takes place. We parameterize the degree of
decoherence by a factor (1-\zeta) which multiplies the quantum-mechanical
interference terms occurring in the amplitudes for like and unlike strangeness
events and discuss the dependence of this procedure on the basis chosen in the
K^0--\bar{K}^0 space to which the interference terms correspond. Consequently,
all statements about the ``decoherence parameter'' \zeta inferred from
experimental data are basis-dependent as well. We illustrate this point by
estimating the value of \zeta for the two bases {K_L, K_S} and {K^0, \bar{K}^0}
with the help of recent data of the CPLEAR experiment.
