Skip to main content
SpringerLink
Log in

Intuitionistic Fuzzy Automaton with Unique Membership and Unique Nonmembership Transitions

  • Conference paper
  • First Online:
Theoretical Computer Science and Discrete Mathematics (ICTCSDM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10398))

  • 742 Accesses

Abstract

In this paper, we review an intuitionistic fuzzy finite state automaton which assigns a membership and nonmembership values in which there is a unique membership and unique nonmembership transition on an input symbol (IFAUMN) and also prove that there exists a complete IFAUMN for a given incomplete IFAUMN for the same fuzzy language.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  MATH  Google Scholar 

  2. Atanassov, K.T.: More on intuitionistic fuzzy sets. J. Fuzzy Sets Syst. 33, 37–46 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  3. Atanassov, K.T.: Intuitionistic fuzzy relations. In: First Scientific Session of the Mathematical Foundation Artificial Intelligence, Sofia IM-MFAIS, pp. 1–3 (1989)

    Google Scholar 

  4. Atanassov, K.T.: New operations defined over the intuitionistic fuzzy sets. J. Fuzzy Sets Syst. 61, 137–142 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  5. Atanassov, K.T.: Intuitionistic Fuzzy Sets Theory and Applications. Physica-verlag, Heidelberg (1999)

    Book  MATH  Google Scholar 

  6. Jun, Y.B.: Intuitionistic fuzzy finite state machines. J. Appl. Math. Comput. 17, 109–120 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Jun, J.B.: Intuitionistic fuzzy finite switchboard state machines. J. Appl. Math. Comput. 20, 315–325 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  8. Jun, Y.B.: Quotient structures of intuitionistic fuzzy finite state machines. Inform. Sci. 177, 4977–4986 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  9. Malik, D.S., Mordeson, J.N.: Fuzzy Automata and Languages, Theory and Applications. CRC, Boca Raton (2002)

    MATH  Google Scholar 

  10. Rajaretnam, T., Ayyaswamy, S.K.: Fuzzy finite state automaton with unique membership transition on an input Symbol. J. Combin. Math. Combin. Comput. 69, 151–164 (2009)

    MATH  MathSciNet  Google Scholar 

  11. Santos, E.S.: Maximum automata. Inform. Control 12, 367–377 (1968)

    Article  Google Scholar 

  12. Telesphor, L., Jeny Jordon, A., Jency Priya, K., Rajaretnam, T.: Intuitionistic fuzzy finite automata with unique membership transition. In: IEEE Explore, pp. 103–107 (2014)

    Google Scholar 

  13. Wee, W.G., Fu, K.S.: A formulation of fuzzy automata and its application as a model of learning systems. IEEE Trans. Syst. Man Cybern. 5, 215–223 (1969)

    MATH  Google Scholar 

  14. Zadeh, L.A.: Fuzzy sets. J. Inform. Control 8, 338–353 (1965)

    Article  MATH  Google Scholar 

  15. Zadeh, L.A.: Fuzzy languages and their relation to human and machine intelligence. Electrn. Research Laboratory University California, Berkeley, CA, Technical Report ERL - M302 (1971)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. P.G. and Research Department of Mathematics, St. Joseph’s College (Autonomous), Tiruchirappalli, 620002, Tamil Nadu, India

    K. Jency Priya & T. Rajaretnam

Authors
  1. K. Jency Priya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Rajaretnam
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. Jency Priya .

Editor information

Editors and Affiliations

  1. Kalasalingam University, Krishnankoil, India

    S. Arumugam

  2. Ball State University, Muncie, Indiana, USA

    Jay Bagga

  3. Indiana University – Purdue University, Fort Wayne, Indiana, USA

    Lowell W. Beineke

  4. Indian Institute of Technology, New Delhi, India

    B.S. Panda

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Jency Priya, K., Rajaretnam, T. (2017). Intuitionistic Fuzzy Automaton with Unique Membership and Unique Nonmembership Transitions. In: Arumugam, S., Bagga, J., Beineke, L., Panda, B. (eds) Theoretical Computer Science and Discrete Mathematics. ICTCSDM 2016. Lecture Notes in Computer Science(), vol 10398. Springer, Cham. https://doi.org/10.1007/978-3-319-64419-6_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-64419-6_35

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64418-9

  • Online ISBN: 978-3-319-64419-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation