For citation:
Speranskiy D. V. Recognition of a linear automaton outputs by the fuzzy outputs. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 1, pp. 109-116. DOI: 10.18500/1816-9791-2014-14-1-109-116, EDN: SCSSUX
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
25.03.2014
Full text:
(downloads: 144)
Language:
Russian
Heading:
UDC:
501.1
EDN:
SCSSUX
Recognition of a linear automaton outputs by the fuzzy outputs
Autors:
Speranskiy Dmitriy Vasil'evich, Russian University of Transport
Abstract:
A method is proposed to solve the recognition problem for unknown input sequences of a linear automaton when observed the fuzzy outputs.
Key words:
References:
- Huffman D. A. Canonical forms for information-lossless finite-state logical machines Information Theory, IRE Transactions on, 1959, vol. 5, no. 5, pp. 41–59. DOI: 10.1109/TIT.1959.1057537.
- Gill A. Linear sequential circuits: analysis, synthesis, and applications. New York, McGraw-Hill, 1962, 215 p.
- Speranskij D. V. Lekcii po teorii jeksperimentov s konechnymi avtomatami [Lection on the theory of experiments with finite automata]. Moscow, Internet-Universitet Informacionnyh Tehnologij, BINOM. Laboratorija znanij, 2010, 287 p. (in Russian).
- Alefeld G., Herzberger J. Introduction to interval computations. New York, Academic Press, 1983, 333 p.
- Speransky D. V. Fuzzy automaton finite state recognition. Automatic Control and Computer Sciences, vol. 46, iss. 5, pp. 185–190. DOI: 10.3103/S014641161 2050070.
- Zadeh L. A. Fuzzy sets. Information and Control, 1965, no. 8, pp. 338–353. DOI: 10.1016/S0019-9958(65)90 241-X.
- Dubois D., Prade H. Fuzzy numbers: An overview. Analysis of Fuzzy Information, Vol. I : Mathematics and Logic, CRC Press, Boca Raton, FL, 1988, pp. 3–39.
- Kaufman A., Gupta M. M. Introduction to fuzzy arithmetic : theory and applications. New York, Van Nostrand Reinhold Co., 1991, 351 p.
- Kandel A. Fuzzy Mathematical Techniques with Applications. Boston, MA, USA, Addison-Wesley Longman Publishing Co., Inc., 1986, 274 p.
- Hanss M. Applied Fuzzy Arithmetic : An Introduction with Engineering Applications. Berlin, Heidelberg, Springer Publishing Company, Incorporated, 2010. 256 p.
- Piegat A. Fuzzy Modeling and Control. Heidelberg, Germany, Physica-Verlag GmbH. 2010, 728 p. (Rus. ed. : Piegat A. Nechetkoe modelirovanie i upravlenie. Moscow, BINOM, Laboratoriia znanii, 2013, 798 p.)
- Dixon J. D. Exact Solution of Linear Equations Using P-Adic Expansions. Numerische Mathematik, 1982, vol. 40, no. 1, pp. 137–142. DOI: 10.1007/BF01459082.
Received:
02.08.2013
Accepted:
11.01.2014
Published:
28.02.2014
Short text (in English):
(downloads: 158)
- 1024 reads