HYPERGROUPS AND GENERAL FUZZY AUTOMATA

[1] R. Ameri, Fuzzy hypervector spaces over valued fields, Iranian Journal of Fuzzy Systems,
2(1) (2005), 37-47.
[2] M. A. Arbib, From automata theory to brain theory, International Journal of Man-Machin
Studies, 7(3) (1975), 279-295.
[3] W. R. Ashby, Design for a brain, Chapman and Hall, London, 1954.
[4] D. Ashlock, A. Wittrock and T. Wen, Training finite state machines to improve PCR primer
design, in: Proceedings of the 2002 Congress on Evolutionary Computation (CEC) 20, 2002.
[5] P. Corsini, Prolegomena of hypergroup theory, Aviani Editore, 1993.
[6] P. Corsini and V. Leoreanu, Applications of hyperstructure theory, Kluwer Academic Publishers,
Advances in Mathematics, 2003.
[7] P. Corsini and I. Cristea, Fuzzy grade I.P.S hypergroups of order 7, Iranian Journal of Fuzzy
Systems, 1(2) (2004), 15-32.
[8] M. Doostfatemeh and S. C. Kremer, New directions in fuzzy automata, International Journal
of Approximate Reasoning, 38 (2005), 175-214.
[9] B. R. Gaines and L. J. Kohout, The logic of automata, International Journal of General
Systems, 2 (1976), 191-208.
[10] Y. M. Li and W. Pedrycz, Fuzzy finite automata and fuzzy regular expressions with membership
valuesin lattice-ordered monoids, Fuzzy Sets and Systems, 156 (2005), 68-92.
[11] R. Maclin and J. Shavlik, Refing domain theories expressed as finite-state automata, in:
L.B.G. Collins (Ed.), Proceedings of the 8th International Workshop on Machine Learning
(ML’91), Morgan Kaufmann, San Mateo CA, 1991.
[12] R. Maclin and J. Shavlik, Refing algorithm with knowledge-based neural networks: improving
the choufasma algorithm for protein folding, in: S. Hanson, G. Drastal and R. Rivest (Eds.),
Computational Learning Theory and Natural Learning Systems, MIT Press, Cambridge, MA,
1992.
[13] J. N. Mordeson and D. S. Malik, Fuzzy automata and languages, Theory and Applications,
Chapman and Hall/CRC, London/Boca Raton, FL, 2002.
[14] W. Omlin, K. K. Giles and K. K. Thornber, Equivalence in knowledge representation: automata,
rnns, and dynamical fuzzy systems, Proceeding of IEEE, 87(9) (1999), 1623-1640.
[15] W. Omlin, K. K. Thornber and K. K. Giles, Fuzzy finite-state automata can be deterministically
encoded into recurrent neural networks, IEEE Transactions on Fuzzy Systems, 5(1)
(1998), 76-89.
[16] B. Tucker (Ed.), The computer science and engineering handbook, CRC Press, Boca Raton,
FL, 1997.
[17] J. Virant and N. Zimic, Fuzzy automata with fuzzy relief, IEEE Transactions on Fuzzy Systems,
3(1) (1995), 69-74.

[18] W. G. Wee, On generalization of adaptive algorithm and application of the fuzzy sets concept
to pattern classification, Ph.D. dissertation, Purdue University, Lafayette, IN, 1967.
[19] M. Ying, A formal model of computing with words, IEEE Transactions on Fuzzy Systems,
10(5) (2002), 640-652.
[20] L. A. Zadeh, Fuzzy sets, Inform. and Control, 8 (1965), 338-353.
[21] M. M. Zahedi, M. Horry and K. Abolpor, Bifuzzy (General) topology on max-min general
fuzzy automata, Advanced in Fuzzy Mathematics, 3(1) (2008), 51-68.