embedding of the lattice of ideals of a ring into its lattice of fuzzy ideals

we show that the lattice of all ideals of a ring $r$ can be embedded in the lattice of all its fuzzyideals in uncountably many ways. for this purpose, we introduce the concept of the generalizedcharacteristic function $chi _{s}^{r} (a)$ of a subset $a$ of a ring $r$ forfixed $r , sin [0,1] $ and show that $a$ is an ideal of $r$ if, and only if, its generalizedcharacteristic function $chi _{s}^{r} (a)$ is a fuzzy ideal of $r$. we alsoshow that the set of all generalized characteristic functions $c_{s}^{r}(i(r))$ of the members of $i(r)$ for fixed $r , sin [0,1] $ is acomplete sublattice of the lattice of all fuzzy ideals of $r$ and establishthat this latter lattice is generated by the union of allits complete sublattices $c_{s}^{r} (i(r))$.