  In this paper we introduce some families of fuzzy L-systems and investigate
their properties. We further discuss the relationship between fuzzy L languages
and the fuzzy languages generated by fuzzy grammar proposed in Ref.[3,5]. A
measure of fuzziness for a string, called the fuzzy entropy of a string with
respect to a given fuzzy L system, will be defined. The relationship between
fuzzy L languages and the ordinary L languages is also discussed.
