Skip to main content

Hesitant Fuzzy Linguistic Term Sets

  • Conference paper
Foundations of Intelligent Systems

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 122))

Abstract

Dealing with vague or imprecise information has been always a challenging problem. Different tools have been proposed to manage that uncertainty. A new model based on hesitant fuzzy sets was presented to manage situations where experts hesitate among several values to assess alternatives, variables, etc. Hesitant fuzzy sets models quantitative settings, however, it could occur similar situations but in qualitative settings, where experts think of several possible linguistic values or richer expressions than a single linguistic term to assess alternatives, variables, etc. In this contribution the aim is to introduce the concept of Hesitant Fuzzy Linguistic Term Sets (HFLTS) that will provide a linguistic elicitation based on the fuzzy linguistic approach and the use of context-free grammars.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 429.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 549.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Article  MathSciNet  MATH  Google Scholar 

  2. Bonissone, P.P.: A fuzzy sets based linguistic approach: theory and applications. In: Gupta, M.M., Sanchez, E. (eds.) Approximate Reasoning in Decision Analysis, pp. 99–111. North-Holland Publishing Company (1982)

    Google Scholar 

  3. Bordogna, G., Pasi, G.: A fuzzy linguistic approach generalizing boolean information retrieval: A model and its evaluation. Journal of the American Society for Information Science 44, 70–82 (1993)

    Article  Google Scholar 

  4. Dong, Y., Xu, Y., Yu, S.: Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model. IEEE Transactions on Fuzzy Systems 17(6), 1366–1378 (2009)

    Article  Google Scholar 

  5. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Kluwer Academic, New York (1980)

    MATH  Google Scholar 

  6. Herrera, F., Martínez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems 8(6), 746–752 (2000)

    Article  Google Scholar 

  7. Ishibuchi, H., Tanaka, H.: Theory and methodology: Multiobjective programming in optimization of the interval objective function. European Journal of Operational Research 48, 219–225 (1990)

    Article  MATH  Google Scholar 

  8. Kundu, S.: Min-transitivity of fuzzy leftness relationship and its application to decision making. Fuzzy Sets and Systems 86, 357–367 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  9. Li, D.F.: Multiattribute group decision making method using extended linguistic variables. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17(6), 793–806 (2009)

    Article  MATH  Google Scholar 

  10. Liu, J., Martínez, L., Wang, H., Rodríguez, R.M., Novozhilov, V.: Computing with words in risk assessment. International Journal of Computational Intelligence Systems 3(4), 396–419 (2010)

    Article  Google Scholar 

  11. Martínez, L.: Sensory evaluation based on linguistic decision analysis. International Journal of Approximate Reasoning 44(2), 148–164 (2007)

    Article  Google Scholar 

  12. Martínez, L., Liu, J., Yang, J.B.: A fuzzy model for design evaluation based on multiple criteria analysis in engineering systems. International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems 14(3), 317–336 (2006)

    Article  Google Scholar 

  13. Martínez, L., Pérez, L.G., Barranco, M.: A multi-granular linguistic based-content recommendation model. International Journal of Intelligent Systems 22(5), 419–434 (2007)

    Article  Google Scholar 

  14. Martínez, L., Ruan, D., Herrera, F.: Computing with words in decision support systems: An overview on models and applications. International Journal of Computational Intelligence Systems 3(4), 382–395 (2010)

    Article  Google Scholar 

  15. Mendel, J.M.: An architecture for making judgement using computing with words. International Journal of Applied Mathematics and Computer Sciences 12(3), 325–335 (2002)

    MathSciNet  MATH  Google Scholar 

  16. Mendel, J.M., Zadeh, L.A., Yager, R.R., Lawry, J., Hagras, H., Guadarrama, S.: What computing with words means to me. IEEE Computational Intelligence Magazine 5(1), 20–26 (2010)

    Article  Google Scholar 

  17. Mizumoto, M., Tanaka, K.: Some properties of fuzzy sets of type 2. Information Control 31, 312–340 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  18. Parsons, S.: Current approaches to handling imperfect information in data and knowledge bases. IEEE Transactions on Knowledge Data Engineering 8(3), 353–372 (1996)

    Article  MathSciNet  Google Scholar 

  19. Rodríguez, R.M., Espinilla, M., Sanchez, P.J., Martínez, L.: Using linguistic incomplete preference relations to cold start recommendations. Internet Research 20(3), 296–315 (2010)

    Article  Google Scholar 

  20. Rodríguez, R.M., Martínez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Transactions on Fuzzy Systems (2011), doi:10.1109/TFUZZ, 2170076

    Google Scholar 

  21. Sengupta, A., Kumar Pal, T.: On comparing interval numbers. European Journal of Operational Research 127, 28–43 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  22. Torra, V.: Negation functions based semantics for ordered linguistic labels. International Journal of Intelligent Systems 11, 975–988 (1996)

    Article  Google Scholar 

  23. Torra, V.: Hesitant fuzzy sets. International Journal of Intelligent Systems 25(6), 529–539 (2010)

    MATH  Google Scholar 

  24. Türkşen, I.B.: Type 2 representation and reasoning for CWW. Fuzzy Sets and Systems 127, 17–36 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  25. Wang, J.H., Hao, J.: A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems 14(3), 435–445 (2006)

    Article  Google Scholar 

  26. Yager, R.R.: On the theory of bags. International Journal Generation System 13, 23–37 (1986)

    Article  MathSciNet  Google Scholar 

  27. Yager, R.R.: An approach to ordinal decision making. International Joumal of Approximate Reasoning 12(3-4), 237–261 (1995)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  29. Zadeh, L.: The concept of a linguistic variable and its applications to approximate reasoning. Information Sciences, Part I, II, III (8,9), 199–249, 301–357, 43–80 (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rodríguez, R.M., Martínez, L., Herrera, F. (2011). Hesitant Fuzzy Linguistic Term Sets. In: Wang, Y., Li, T. (eds) Foundations of Intelligent Systems. Advances in Intelligent and Soft Computing, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25664-6_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25664-6_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25663-9

  • Online ISBN: 978-3-642-25664-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics