Fuzzy recognizers and recognizable sets

Fuzzy Sets and Systems

Volumn 131, Issue 3, 2002, Pages 381-392

  Kumbhojkar, H V ^a   Chaudhari, S R ^b  

^a SHIVAJI UNIVERSITY   (India)

^b Mali Colony   (India)

Author keywords

Completion; Fuzzy finite state machine; Fuzzy recognizer; Homomorphism

Indexed keywords

AUTOMATA THEORY; FUNCTIONS; MATHEMATICAL OPERATORS; THEOREM PROVING;

FUZZY RECOGNIZERS;

FUZZY SETS;

EID: 0036836751     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(01)00160-9     Document Type: Article

References (22)

1. Dubois D., Prade H. Fuzzy Sets and Systems. Theory and Applications:1980;Academic Press, New York.
2. Eilenburg S. Automata, Languages and Machines. Vol. A:1974;Academic Press, London.
3. Ginzburg A. Algebraic Theory of Automata. 1968;Academic Press, New York.
4. Holcombe W.M.L. Algebraic Automata Theory. 1982;Cambridge University Press, Cambridge.
5. N. Honda, M. Nasu, S. Hirose, F-recognition of fuzzy languages, in: M.M. Gupta et al. (Eds.), Fuzzy Automata and Decision Processes, 1977, pp. 149-168.
6. Kandel A., Lee S.C. Fuzzy Switching and Automata. Theory and its Applications:1980;Crane Russak, New York.
7. Kumbhojkar H.V., Chaudhari S.R. On proper fuzzification of fuzzy finite state machine. Internat. J. Fuzzy Math. 8:2000.
8. H.V. Kumbhojkar, S.R. Chaudhari, On covering of products of fuzzy finite state machines, to appear.
9. H.V. Kumbhojkar, S.R. Chaudhari, Fuzzy recognizers, in: N.R. Pal, A.K. De, J. Das (Eds.), Advances in Pattern Recognition and Digital Techniques, Narosa Publishing House, 2000, pp. 261-264.
10. Lee E.T., Zadeh L.A. Note on fuzzy languages. Inform. Sci. 1:1969;421-434.
11. D.S. Malik, J.N. Mordeson, M.K. Sen, Semigroups of fuzzy finite state machines, in: P.P. Wang (Ed.), Advances in Fuzzy Technology, Bookswrite, Durham, NC, 1994.
12. Malik D.S., Mordeson J.N., Sen M.K. On subsystems of fuzzy finite state machines. Fuzzy Sets and Systems. 68:1994;83-92.
13. Malik D.S., Mordeson J.N. On fuzzy recognizers. Kybernetics. 28(1):1999;47-60.
14. Mizumoto M., Tanaka J., Tanaka K. Fuzzy-fuzzy automata. Kybernetics. 5:1976;107-112.
15. Mizumoto M., Tanaka J., Tanaka K. Some consideration on fuzzy automata. J. Comput. Systems Sci. 3:1969;409-422.
16. Mizumoto M., Tanaka J., Tanaka K. Various kinds of automata, with weights. Inform. Process. Lett. 2:1973;74-78.
17. Santos E.S. General formulation of sequential machines. Inform. and Control. 12:1968;5-10.
18. Santos E.S. Maximin automata. Inform. and Control. 13:1968;363-377.
19. Santos E.S. Maxproduct machines. J. Math. Anal. Appl. 37:1972;677-686.
20. Santos E.S. Realization of fuzzy languages by Probabilistic, max-prod and maximin automata. Inform. Sci. 8:1975;39-53.
21. W.G. Wee, On generalization of adaptive algorithms and applications of the fuzzy sets concept to pattern classification, Ph.D. Thesis, TR-EE 67/7, Purde Uni. Lafayette, Indiana, 1967.
22. Wee W.G., Fu K.S. A formulation of fuzzy automata and its application as a model of learning systems. IEEE Trans. Systems Sci. Cybernet. 5:1969;215-223.