Perhaps the best description of the nature of fuzzification is contained in the well-known classical paper by Goguen 1967]: "Fuzzification is a process of imparting a fuzzy structure to a definition (concept), a theorem, or even a whole theory."The strength of this deceivingly simple description is its sweeping generality. The single sentence captures the essence of a wide variety of issues that must be addressed when mathematical concepts, properties, or theories based on classical sets are generalized to their counterparts based on fuzzy sets of some type.