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Some hypergroups on general complex fuzzy automata

M. Horry
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제14권 제4호|pp. 381-391|DOI 10.30948/afmi.2017.14.4.381

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참고문헌

키워드

General complex fuzzy automataHypergroup$H_ν$- group

초록

In this paper, we first define the notion of a complex fuzzy subset and the notion of a general complex fuzzy automaton and construct some $H_\nu$- groups on the set of states of a general complex fuzzy automaton. We then construct some commutative hypergroups on the set of states of a complex fuzzy automaton.

Abstract

In this paper, we first define the notion of a complex fuzzy subset and the notion of a general complex fuzzy automaton and construct some $H_\nu$- groups on the set of states of a general complex fuzzy automaton. We then construct some commutative hypergroups on the set of states of a complex fuzzy automaton.

참고문헌 (18)

  1. M. A. Arbib, "From automata theory to brain theory", International Journal of Man-Machin Studies, 7(3), pp.279~295 (1975)
  2. W. R. Ashby, "Design for a brain" (1954), Chapman and Hall
  3. D. Ashlock, "Training finite state machines to improve PCR primer design", Proceedings of the 2002 Congress on Evolutionary Computation (CEC), 20 (2002)
  4. P. Corsini, "Prolegomena of Hypergroup Theory" (1993), Aviani Editore
  5. P. Corsini, "Applications of hyperstructure theory" (2003), Kluwer Academic Pub-lishers, Advances in Mathematics
  6. P. Corsini, "Fuzzy grade I. P. S hypergroups of order 7", Iranian Journal of Fuzzy Systems, 1(2), pp.15~32 (2004)
  7. M. Doostfatemeh, "New directions in fuzzy automata", International Journal of Approximate Reasoning, 38, pp.175~214 (2005)
  8. B. R. Gaines, "The logic of automata", International Journal of General Systems, 2, pp.191~208 (1976)
  9. M. Horry, "Hypergroups and general fuzzy automata", Iranian Journal of Fuzzy Systems, 6(2), pp.61~74 (2009)
  10. J. N. Mordeson, "Fuzzy Automata and Languages, Theory and Applications", pp.2002, Chapman and Hall
  11. R. Maclin, "Refing domain theories expressed as finite-state automata", Proceedings of the 8th International Workshop on Machine Learning (ML'91) (1991)
  12. R. Maclin, "Computational Learning Theory and Natural Learning Systems" (1992), MIT Press
  13. W. Omlin, "Equivalence in knowledge representation: automata, rnns, and dynamical fuzzy systems", Proceeding of IEEE, 87(9), pp.1623~1640 (1999)
  14. W. Omlin, "Fuzzy finite-state automata can be determin-istically encoded into recurrent neural networks", IEEE Transactions on Fuzzy Systems, 5(1), pp.76~89 (1998)
  15. R. Ameri, "Fuzzy hypervector spaces over valued fields", Iranian Journal of Fuzzy Systems, 2(1), pp.37~47 (2005)
  16. B. Tucker, "The Computer Science and Engineering Handbook" (1997), CRC Press
  17. J. Virant, "Fuzzy automata with fuzzy relief", IEEE Transactions on Fuzzy Systems, 3(1), pp.69~74 (1995)
  18. W. G. Wee, "On generalization of adaptive algorithm and application of the fuzzy sets concept to pattern classification", Ph.D., pp.1967

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