Skip to main content
SpringerLink
Log in

Computing with Words for Decision Making Versus Linguistic Decision Making: A Reflection on both Scenarios

  • Chapter
  • First Online:
Enric Trillas: A Passion for Fuzzy Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 322))

Abstract

Computing with Words (CW) methodology has been used in different environments to narrow the differences between human reasoning and computing. As decision making is a typical human mental process, it seems natural to apply the CW methodology in order to create and enrich decision models in which the information involved has a qualitative nature. There are two approaches to manage linguistic information in decision making. The first one uses a CW methodology that allows experts to elicit linguistic evaluations and obtains final results as a linguistic representation of words enriched by any kind of representation. The other one uses linguistic information as inputs together with computing processes whose outcome is a ranking of alternatives based on numerical outputs. We can summarize both approaches in the two following expressions from words to words versus from words to numerical outputs/ranking. Both scenarios will be revisited in this chapter within the context of the linguistic computational models for processing linguistic information in decision making.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Notes

  1. 1.

    The types of information that have to be translated are not restricted to the linguistic values of variables but must also include linguistically expressed information for processing information.

References

  1. Agell, N., Sánchez, M., Prats, F., Roselló, Ll: Ranking multi-attribute alternatives on the base of linguistic labels in group decisions. Inf. Sci. 209, 49–60 (2012)

    Article  Google Scholar 

  2. Degani, R., Bortolan, G.: The problem of linguistic approximation in clinical decision making. Int. J. Approx. Reason. 2, 143–162 (1988)

    Article  Google Scholar 

  3. Delgado, M., Verdegay, J.L., Vila, M.A.: On aggregation operations of linguistic labels. Int. J. Intell. Syst. 8(3), 351–370 (1993)

    Article  MATH  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 Trans. Fuzzy Syst. 17(6), 1366–1378 (2009)

    Article  Google Scholar 

  5. Dong, Y., Zhang, G., Hong, W.-C., Yu, S.: Linguistic computational model based on 2-tuples and intervals. IEEE Trans. Fuzzy Syst. 21(6), 1006–1018

    Google Scholar 

  6. Estrella, F.J., Espinilla, M., Herrera, F., Martínez, L.: FLINTSTONES: a fuzzy linguistic decision tools enhancement suite based on the 2-tuple linguistic model and extensions. Inf. Sci. 280, 152–170 (2014)

    Article  Google Scholar 

  7. Evangelos, T.: Multi-criteria Decision Making Methods: A Comparative Study. Kluwer, Dordrecht (2000)

    Google Scholar 

  8. Herrera, F., Herrera-Viedma, E.: Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets Syst. 115, 67–82 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  9. Falcó, E., García Lapresta, J.L., Roselló, L.L.: Allowing agents to be imprecise: a proposal using multiple linguistic terms. Inf. Sci. 258, 249–265 (2014)

    Article  Google Scholar 

  10. Herrera, F., Alonso, S., Chiclana, F., Herrera-Viedma, E.: Computing with words in decision making: foundations, trends and prospects. Fuzzy Optim. Decis. Mak. 8, 337–364 (2009)

    Article  MathSciNet  Google Scholar 

  11. Herrera, F., Herrera-Viedma, E., Martínez, L.: A fuzzy linguistic methodology to deal with unbalanced linguistic term sets. IEEE Trans. Fuzzy Syst. 16(2), 354–370 (2008)

    Article  Google Scholar 

  12. Herrera, F., Martínez, L.: A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic context in multi-expert decision making. IEEE Trans. Syst., Man, Cybern.—Part B: Cybern. 31(2), 227–234 (2001)

    Article  Google Scholar 

  13. Herrera, F., Martíınez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans. Fuzzy Syst. 8(6), 746–752 (2000)

    Article  Google Scholar 

  14. Kazemzadeh, A., Sungbok, L., Narayanan, S.: Fuzzy logic models for the meaning of emotion words. IEEE Comput. Intell. Mag. 8(2), 34–49 (2013)

    Article  Google Scholar 

  15. Lawry, J.: An alternative approach to computing with words. Int. J. Uncertain. Fuzziness Knowl. -Based Syst. 9(Suppl), 3–16 (2001)

    Google Scholar 

  16. Lawry, J.: A methodology for computing with words. Int. J. Approx. Reason. 28, 51–89 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  17. Lawry, J.: A framework for linguistic modelling. Artif. Intell. 155(1–2), 1–39 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  18. Martin, O., Klir, G.J.: On the problem of retranslation in computing with perceptions. Int. J. Gen. Syst. 35(6), 655–674 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  19. Martínez, L., Herrera, F.: An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges. Inf. Sci. 207(1), 1–18 (2012)

    Article  Google Scholar 

  20. Martínez, L., Ruan, D., Herrera, F.: Computing with words in decision support systems: an overview on models and applications. Int. J. Comput. Intell. Syst. 3(4), 382–395 (2010)

    Article  Google Scholar 

  21. Massanet, S., Riera, J.V., Torrens, J., Herrera-Viedma, E.: A new linguistic computational model based on discrete fuzzy numbers for computing with words. Inf. Sci. 258, 277–290 (2014)

    Article  MathSciNet  Google Scholar 

  22. Mendel, J.M.: An architecture for making judgement using computing with words. Int. J. Appl. Math. Comput. Sci. 12(3), 325–335 (2002)

    MATH  MathSciNet  Google Scholar 

  23. Mendel, J.: Historical reflections and new positions on perceptual computing. Fuzzy Optim. Decis. Mak. 8(4), 325–335 (2009)

    Article  Google Scholar 

  24. Mendel, J., Zadeh, L.A., Trillas, E., Yager, R., Lawry, J., Hagras, H., Guadarrama, S.: What computing with words means to me. IEEE Comput. Intell. Mag. 5(1), 20–26 (2010)

    Article  Google Scholar 

  25. Nguyen, C.-H., Huynh, V.N., Pedrcyz, W.: A construction of sound semantic linguistic scale using 4-tuple representation of term semantics. Int. J. Approx. Reason. 55, 763–786 (2014)

    Article  Google Scholar 

  26. Novák, V.: On modelling with words. Int. J. Gen. Syst. 42(1), 21–40 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  27. Rodríguez, R.M., Martínez, L.: An analysis of symbolic linguistic computing models in decision making. Int. J. Gen. Syst. 42(1), 121–136 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  28. Rodríguez, R.M., Martínez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20(1), 109–119 (2012)

    Article  Google Scholar 

  29. Roubens, M.: Fuzzy sets and decision analysis. Fuzzy Sets Syst. 90, 199–206 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  30. Rubin, S.H.: Computing with words. IEEE Trans. Syst., Man, Cybern. Part B: Cybern. 29(4), 518–524 (1999)

    Article  Google Scholar 

  31. Tong, R., Bonissone, P.: A linguistic approach to decision making with fuzzy sets. IEEE Trans. Syst., Man, Cybern. SMC-10(11), 716–723 (1980)

    Google Scholar 

  32. Trillas, E.: On the use of words and fuzzy sets. Inf. Sci. 176(11), 1463–1487 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  33. Trillas, E., Guadarrama, S.: What about fuzzy logic’s linguistic soundness? Fuzzy Sets Syst. 156(3), 334–340 (2005)

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  35. Wang, J.-H., Hao, J.: An approach to computing with words based on canonical characteristic values of linguistic labels. IEEE Trans. Fuzzy Syst. 15(4), 593–604 (2007)

    Article  Google Scholar 

  36. Wang, H., Qiu, D.: Computing with words via turing machines: a formal approach. IEEE Trans. Fuzzy Syst. 11(6), 742–753 (2003)

    Article  MathSciNet  Google Scholar 

  37. Wu, D., Mendel, J.M.: Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Trans. Fuzzy Syst. 15(6), 1145–1161 (2007)

    Article  Google Scholar 

  38. Wu, D.: A reconstruction decoder for computing with words. Inf. Sci. 255, 1–15 (2014)

    Article  Google Scholar 

  39. Yager, R.R.: A new methodology for ordinal multiobjective decisions based on fuzzy sets. Decis. Sci. 12(4), 589–600 (1981)

    Article  Google Scholar 

  40. Yager, R.R.: Non-numeric multi-criteria multi-person decision making. Group Decis. Negot. 2(1), 81–93 (1993)

    Article  Google Scholar 

  41. Yager, R.R.: On the retranslation process in Zadeh’s paradigm of computing with words. IEEE Trans. Syst., Man, Cybern.—Part B: Cybern. 34(2), 1184–1195 (2004)

    Article  Google Scholar 

  42. Yager, R.R.: Aggregation of ordinal information. Fuzzy Optim. Decis. Mak. 6(3), 199–219 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  43. Yang, Y.-E., Wang, X.-F., Wang, J.-Q.: Counted linguistic variable in decision-making. Int. J. Fuzzy Syst. 16(2), 196–203 (2014)

    Google Scholar 

  44. Ying, M.: A formal model of computing with words. IEEE Trans. Fuzzy Syst. 10(5), 640–652 (2002)

    Article  Google Scholar 

  45. Xu, Z.S.: A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf. Sci. 166(1–4), 19–30 (2004)

    Article  MATH  Google Scholar 

  46. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Part I. Inf. Sci. 8(3), 199–249 (1975). Part II. Inf. Sci. 8(4), 301–357 (1975). Part III. Inf. Sci. 9(1), 43–80 (1975)

    Google Scholar 

  47. Zadeh, L.A.: Fuzzy logic \(=\) computing with words. IEEE Trans. Fuzzy Syst. 4, 103–111 (1996)

    Article  Google Scholar 

  48. Zadeh, L.A.: From computing with numbers to computing with words—from manipulation of measurements to manipulation of perceptions. IEEE Trans. Circuits Syst. I 46(1), 105–119 (1999)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

We wish these final words serve to thank Enric Trillas for their invaluable presence in our lives as researchers in these 25 years that the authors have developed their career. Without their advice, support, encouragement ... we had not gotten to reach achievements.

Author information

Authors and Affiliations

  1. Department of Computer Sciences and Artificial Intelligence, University of Granada, 18071, Granada, Spain

    Francisco Herrera & Enrique Herrera-Viedma

  2. Department of Computer Sciences, University of Jaén, Campus las Lagunillas s/n, 23071, Jaen, Spain

    Luis Martínez

Authors
  1. Francisco Herrera
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Enrique Herrera-Viedma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Luis Martínez
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Francisco Herrera .

Editor information

Editors and Affiliations

  1. European Centre for Soft Computing, Asturias, Spain

    Luis Magdalena

  2. Depto. de Ciencias de la Computación e Inteligencia Artificial, University of Granada, Granada, Spain

    Jose Luis Verdegay

  3. Spanish Council for Scientific Research (CSIC), Artificial Intelligence Research Institute (IIIA-CSIC), Catalonia, Spain

    Francesc Esteva

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Herrera, F., Herrera-Viedma, E., Martínez, L. (2015). Computing with Words for Decision Making Versus Linguistic Decision Making: A Reflection on both Scenarios. In: Magdalena, L., Verdegay, J., Esteva, F. (eds) Enric Trillas: A Passion for Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-16235-5_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-16235-5_19

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16234-8

  • Online ISBN: 978-3-319-16235-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation