Skip to main content
SpringerLink
Log in
Book cover

International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 2014: Information Processing and Management of Uncertainty in Knowledge-Based Systems pp 304–313Cite as

Multi-valued Representation of Neutrosophic Information

  • Conference paper

  • 941 Accesses

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 442))

Abstract

The paper presents three variants for multi-valued representation of neutrosophic information. These three representations are provided in the framework of multi-valued logics and it provides some calculation formulae for the following neutrosophic features: truth, falsity, neutrality, undefinedness, saturation, contradiction, ambiguity. In addition, it was defined net-truth, definedness, neutrosophic score and neutrosophic indeterminacy.

This is a preview of subscription content, 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 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atanassov, K.: Intuitionistic Fuzzy sets. Fuzzy Sets and Systems 20, 87–96 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  2. Atanassov, K.: Remark on a Property of the Intuitionistic Fuzzy Interpretation Triangle. Notes on Intuitionistic Fuzzy Sets 8, 34 (2002)

    MATH  MathSciNet  Google Scholar 

  3. Ashbacher, C.: Introduction to Neutrosophic logic. American Research Press, Rehoboth (2002)

    MATH  Google Scholar 

  4. Deza, E., Deza, M.M.: Dictionary of Distances. Elsevier (2006)

    Google Scholar 

  5. Kaufmann, A.: Introduction to the Theory of Fuzzy Subsets. Academic Press, New York (1975)

    MATH  Google Scholar 

  6. Kosko, B.: Fuzzy entropy and conditioning. Information Sciences 40, 165–174 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  7. Frank, M.J.: On the simultaneous associativity of f(x,y) and x+y-f(x,y). Aeq. Math. 19, 194–226 (1979)

    Article  MATH  Google Scholar 

  8. Patrascu, V.: Penta-Valued Fuzzy Set. In: The IEEE International Conference on Fuzzy Systems (FUZZY-IEEE 2007), London, U.K, pp. 137–140 (2007)

    Google Scholar 

  9. Patrascu, V.: Bi-fuzziness, Incompleteness, Inconsistency, Truth and Falsity Based on Saturation and Ignorance Functions. A New Approach of Penta-Valued Knowledge Representation. In: The 23rd Midwest Artificial Intelligence and Cognitive Science Conference, MAICS 2012, Cincinnati, OH, USA, pp. 112–118 (2012)

    Google Scholar 

  10. Patrascu, V.: Rough Sets on Four-Valued Fuzzy Approximation Space. In: The IEEE International Conference on Fuzzy Systems (FUZZY-IEEE 2007), London, U.K., pp. 133–136 (2007)

    Google Scholar 

  11. Patrascu, V.: A New Penta-valued Logic Based Knowledge Representation. In: Proc. of the 12th Inter. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2008), Malaga, Spain, pp. 17–22 (2008)

    Google Scholar 

  12. Patrascu, V.: Cardinality and entropy for bifuzzy set. In: Proc. of the Inter. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2010), Dortmund, Germany, pp. 656–665 (2010)

    Google Scholar 

  13. Patrascu, V.: Fuzzy Membership Function Construction Based on Multi-Valued Evaluation, in vol. Uncertainty Modeling in Knowledge Engineering and Decision Making. In: Proceedings of the 10th International FLINS Conference, pp. 756–761. World Scientific Press (2012)

    Google Scholar 

  14. Patrascu, V.: Neutrosophic information in the framework of multi-valued representation. In: The 21th Conference on Applied and Industrial Mathematics, CAIM 2013, Bucharest, Romania, September 19-22 (2013)

    Google Scholar 

  15. Smarandache, F.: Neutrosophy. / Neutrosophic Probability, Set, and Logic. American Research Press, Rehoboth (1998)

    MATH  Google Scholar 

  16. Smarandache, F.: Definiton of neutrosophic logic - a generalization of the intuitionistic fuzzy logic. In: Proceedings of the Third Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2003, Zittau, Germany, pp. 141–146 (2003)

    Google Scholar 

  17. Smarandache, F.: Generalization of the Intuitionistic Fuzzy Logic to the Neutrosophic Fuzzy Set. International Journal of Pure and Applied Mathematics 24(3), 287–297 (2005)

    MATH  MathSciNet  Google Scholar 

  18. Shumann, A., Smarandache, F.: Neutrality and Many-Valued Logics. American Research Press, USA (2007)

    Google Scholar 

  19. Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tarom Information Technology, Bucharest, Romania

    Vasile Patrascu

Authors
  1. Vasile Patrascu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University Montpellier 2, LIRMM - CNRS UMR 5506, 161, Rue Ada, 34392, Montpellier Cedex 5, France

    Anne Laurent

  2. LIRMM, UMR CNRS/Universite Montpellier II, 161 rue Ada, 34392, Montpellier cedex 5, France

    Olivier Strauss

  3. LIP6, UPMC Univ. Paris 06, CNRS UMR 7606, F-75005, Paris, France

    Bernadette Bouchon-Meunier

  4. Dept. of Information Systems, Iona College, 710 North Ave, 10801, New Rochelle, NY, USA

    Ronald R. Yager

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Patrascu, V. (2014). Multi-valued Representation of Neutrosophic Information. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 442. Springer, Cham. https://doi.org/10.1007/978-3-319-08795-5_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08795-5_32

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08794-8

  • Online ISBN: 978-3-319-08795-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation