Note on fuzzy languages

  title={Note on fuzzy languages},
  author={E. T. Lee and Lotfi A. Zadeh},
  journal={Inf. Sci.},
A fuzzy language is defined to be a fuzzy subset of the set of strings over a finite alphabet. The notions of union, intersection, concatenation, Kleene closure, and grammar for such languages are defined as extensions of the corresponding notions in the theory of formal languages. An explicit expression for the membership function of the language Z,(G) generated by a fuzzy grammar G is given, and it is shown that any context-sensitive fuzzy grammar is recursive. For fuzzy context-free grammars… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 90 extracted citations

Supervisory Control of Fuzzy Discrete-Event Systems for Simulation Equivalence

IEEE Transactions on Fuzzy Systems • 2015
View 4 Excerpts
Highly Influenced

On Intuitionistic Fuzzy Context-Free Languages

J. Applied Mathematics • 2013
View 4 Excerpts
Highly Influenced

Simulation of language evolution using Fuzzy Grammars

2012 Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS) • 2012
View 4 Excerpts
Highly Influenced

Recognizability of Intuitionistic Fuzzy Finite Automata-Homomorphic Images

2014 World Congress on Computing and Communication Technologies • 2014
View 4 Excerpts
Highly Influenced

Fuzzy L languages

Fuzzy Sets and Systems • 2001
View 9 Excerpts
Highly Influenced


Publications referenced by this paper.
Showing 1-2 of 2 references

7 J

Laboratories, University of California, Berkeley, June
Goguen, L-fuzzy sets, J. Math. Anal. Appl., 18 (April 1967), 145-174. 8 J. G. Brown, Fuzzy sets on Boolean lattices, Rept. No. 1957, Ballistic Research Labora- • 1969

On Stochastic Languages

Information and Control • 1968

Similar Papers

Loading similar papers…