Approximation and robustness of fuzzy finite automata

International Journal of Approximate Reasoning

Volumn 47, Issue 2, 2008, Pages 247-257

  Li, Yongming ^a  

^a SHAANXI NORMAL UNIVERSITY   (China)

Author keywords

Approximation; Deterministic fuzzy finite automaton; Nondeterministic fuzzy finite automaton; Robustness

Indexed keywords

APPROXIMATION THEORY; NUMERICAL METHODS; ROBUSTNESS (CONTROL SYSTEMS);

DETERMINISTIC FUZZY FINITE AUTOMATON; NONDETERMINISTIC FUZZY FINITE AUTOMATON;

AUTOMATA THEORY;

EID: 36248988084     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2007.05.004     Document Type: Article

References (25)

1. Aguzzoli S., Gerla B., and Haniková Z. Complexity issues in basic logic. Soft Computing 9 12 (2005) 919-934
2. Adamy J., and Kempf R. Regularity and chaos in recurrent fuzzy systems. Fuzzy Sets and Systems 140 (2003) 259-284
3. Barbera H.M., and Sharmeta A.G. A framework for defining and learning fuzzy behaviors for autonomous mobile robots. International Journal of Intelligent Systems 17 (2002) 1-20
4. Bernstein E., and Vazirani U. Quantum complexity theory. SIAM Journal of Computing 26 5 (1997) 1411-1473
5. Cao Y., and Ying M.S. Observability and decentralized control of fuzzy discrete-event systems. IEEE Transactions on Fuzzy Systems 14 2 (2006) 202-216
6. Doostfatemeh M., and Kremer S.C. New directions in fuzzy automata. International Journal of Approximate Reasoning 38 (2005) 175-214
7. Gile C., Omlin C., and Thornber K.K. Equivalence in knowledge representation: automata, recurrent neural networks, and dynamical fuzzy systems. Proceedings of IEEE 87 (1999) 1623-1640
8. Hájek P. Metamathematics of Fuzzy Logic (1998), Kluwer Academic Publisher, Dordrecht
9. Hájek P. Arithemetical complexity of fuzzy predicate logic - A survey. Soft Computing 9 12 (2005) 935-941
10. Hikmet S. Fuzzy command grammars for intelligent interface design. IEEE Transactions on Systems Man and Cybernetics 22 5 (1992) 1124-1131
11. Hopcroft J.E., and Ullman J.D. Introduction to Automata Theory, Languages and Computation (1979), Addison-Wesley, New York
12. Klement E.P., and Pap E. Triangular Norms (2000), Kluwer Academic Publisher, Dordrecht
13. Li Y.M., and Pedrycz W. Fuzzy finite automata and fuzzy regular expressions with membership values in lattice-ordered monoids. Fuzzy Sets and Systems 156 (2005) 68-92
14. Li Y.M., Li D., Pedrycz W., and Wu J. An approach to measure the robustness of fuzzy reasoning. International Journal of Intelligent Systems 20 4 (2005) 393-413
15. Li Y.M. Analysis of Fuzzy Systems (2005), Science Press, Beijing (in Chinese)
16. Li Y.M., and Pedrycz W. The equivalence between fuzzy Mealy and fuzzy Moore machines. Soft Computing 10 (2006) 953-959
17. Li Z.H., Li P., and Li Y.M. The relationships among several types of fuzzy automata. Information Sciences 176 (2006) 2208-2226
18. Li P., and Li Y.M. Algebraic properties of LA-languages. Information Sciences 176 (2006) 3232-3255
19. Lin F., and Ying H. Modeling and control of fuzzy discrete event systems. IEEE Transactions on Systems Man and Cybernectics - Part B: Cybernectics 32 4 (2002) 408-415
20. Mordeson J.N., and Malik D.S. Fuzzy Automata and Languages: Theory and Applications (2002), Chapman&Hall/CRC, Boca Raton, London
21. Rigatos G.G. Fuzzy stochastic autamata for intelligent vehicle control. IEEE Transactions on Industrial Electronics 50 (2003) 76-79
22. Steimann F., and Adlassning K.P. Clinical monitoring with fuzzy automata. Fuzzy Sets and Systems 61 (1994) 37-42
23. J. Waissman, R. Sarratr, T. Escobet, J. Aguilar, B. Dahhou, Wastewater treatment process supervision by means of a fuzzy atuomaton model, in: Proceedings of 2000 IEEE International Symposium on Intelligence Control, Patras, Greece, July 2000, pp. 163-168.
24. Wang L.X. A Course in Fuzzy Systems and Control (1997), Prentice-Hall PTR, Englewood Cliffs, NJ
25. Zadeh L.A. A note on web intelligence, world knowledge and fuzzy logic. Data and Knowledge Engineering 50 (2004) 291-304