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AFSS International Conference on Fuzzy Systems

AFSS 2002: Advances in Soft Computing — AFSS 2002 pp 485–491Cite as

A Topology for Fuzzy Automata

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2275))

Abstract

This work is an introductory investigation, on the lines of [9] and [10], into some topological aspects of fuzzy machines (studied in [4][8]), wherein we introduce a topology on the state-set of a fuzzy automaton and use it, together with some standard topological results, to deduce some fuzzy automata theoretic results given in [4][8].

The authors acknowledge with thanks the support received through a research grant, provided by the Department of Science and Technology, New Delhi, under which this work has been carried out.

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References

  1. M.A. Arbib and E.G. Manes (1975) Arrows, Structures, and Functors: The Categorical Imperative, Academic Press, New York.

    MATH  Google Scholar 

  2. Z. Bavel (1967) On the decomposibility of monadic algebras and automata, Proceedings of the 8th Annual Symp. on Switching and Automata Theory, 322–335.

    Google Scholar 

  3. F. Lorrain (1969) Notes on topological spaces with minimum neighbourhoods, Amer. Math. Monthly, 76: 616–627.

    Article  MATH  MathSciNet  Google Scholar 

  4. D.S. Malik, J.N. Mordeson, and M.K. Sen (1994) On subsystems of fuzzy finite state machines, Fuzzy Sets and Systems, 68: 83–92.

    Article  MATH  MathSciNet  Google Scholar 

  5. D.S. Malik, J.N. Mordeson, and M.K. Sen (1994) Submachines of fuzzy finite state machines, Jour. of Fuzzy Maths., 2: 781–792.

    MATH  MathSciNet  Google Scholar 

  6. D.S. Malik, J.N. Mordeson, and M.K. Sen (1995) The cartesian composition of fuzzy finite state machines, Kybernetics, 24: 98–110.

    Article  MATH  MathSciNet  Google Scholar 

  7. J.N. Mordeson and P. Nair (1996) Successor and source of (fuzzy) finite state machines and (fuzzy) directed graphs, Inform. Sc., 95: 113–124.

    Article  MATH  MathSciNet  Google Scholar 

  8. J.N. Mordeson and P. Nair (1996) Retrievability and connetedness in fuzzy finite state machines, Proceedings of the Fifth IEEE International Conf. on Fuzzy Systems, 3: 1586–1590.

    Google Scholar 

  9. W. Shukla and A.K. Srivastava (1976) A topology for automata: A note, Inform. and Contr. 32: 163–168.

    Article  MathSciNet  MATH  Google Scholar 

  10. A.K. Srivastava and W. Shukla (1986) A topology for automata II, Internat. Jour. Math. and Math. Sc., 9: 425–428.

    Article  MATH  MathSciNet  Google Scholar 

  11. S. Willard (1970) General Topology, Addison Wesley, Reading.

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, Banaras Hindu University, Varanasi, India

    Arun K. Srivastava & S. P. Tiwari

Authors
  1. Arun K. Srivastava
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  2. S. P. Tiwari
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Editor information

Editors and Affiliations

  1. Electronics and Communication Sciences Unit, Indian Statistical Institute, 203 B.T. Road, 700108, Calcutta, India

    Nikhil R. Pal

  2. Brain Science Institute, RIKEN, 2-1 Hirosawa, Wako, Japan

    Michio Sugeno

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© 2002 Springer-Verlag Berlin Heidelberg

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Srivastava, A.K., Tiwari, S.P. (2002). A Topology for Fuzzy Automata. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_66

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  • DOI: https://doi.org/10.1007/3-540-45631-7_66

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43150-3

  • Online ISBN: 978-3-540-45631-5

  • eBook Packages: Springer Book Archive

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