Fuzzy L-systems

Abstract

Fuzzy L-systems are presented as a formal mechanism for generating fuzzy formal languages. This provides a mechanism for modelling development while also incorporating the vagueness inherent to most real world processes. In this paper, fuzzy L-systems are defined, a normal form is developed, closure properties of fuzzy L-systems—both language-theoretic and related to fuzziness—are explored, and some decidability issues are also considered.

Keywords:

• Fuzzy set
• membership function
• l-systems
• normal forms
• closure properties
• decidability
• cut-point operations

C.R. Categories:

• F.4.2
• F.4.3

^∗The support of the Department of Science and Technology is gratefully acknowledged.

^∗The support of the Department of Science and Technology is gratefully acknowledged.

Notes

^∗The support of the Department of Science and Technology is gratefully acknowledged.