Skip to main content
SpringerLink
Log in

Group Decision Making with Soft AHP Based on the Random Set View of Fuzzy Sets

  • Conference paper
Soft Methods for Handling Variability and Imprecision

Part of the book series: Advances in Soft Computing ((AINSC,volume 48))

Abstract

We present a variant of the Analytic Hierarchy Process intended to facilitate consensus search in group decision making. This soft methodology combines fuzzy sets and probabilistic information to provide judgements oriented by the actors’ attitude towards negotiation. A Monte Carlo approach is taken to derive a preference structure distribution which should finally be studied to extract knowledge about the resolution process.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Aguarón, J., Moreno-Jiménez, J.M.: The geometric consistency index: approximated thresholds. European J. Oper. Res. 147, 137–145 (2003)

    Article  MATH  Google Scholar 

  2. Altuzarra, A., Moreno-Jiménez, J.M., Salvador, M.: Consensus building in AHP- group decision making: A Bayesian approach. (submitted for publication) (2008)

    Google Scholar 

  3. Barzilai, J., Golany, B.: AHP rank reversal normalization and aggregation rules. INFOR 32, 57–64 (1994)

    MATH  Google Scholar 

  4. Buckley, J.J.: Fuzzy hierarchical analysis. Fuzzy Sets Syst. 17, 223–247 (1985)

    Article  MathSciNet  Google Scholar 

  5. Csutora, R., Buckley, J.J.: Fuzzy hierarchical analysis: the Lambda-Max method. Fuzzy Sets Syst. 120, 181–195 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  6. Escobar, M.T., Moreno-Jiménez, J.M.: Reciprocal distributions in the Analytic Hierarchy Process. European J. Oper. Res. 123, 154–174 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  7. Escobar, M.T., Moreno-Jiménez, J.M.: Aggregation of individual preference structures in AHP-Group Decision Making. Special issue on Frontiers in GDN research of Group Decis Negot 16, 287–301 (2007)

    Google Scholar 

  8. Escobar, M.T., Aguarón, J., Moreno-Jiménez, J.M.: A note on AHP group consistency for the row geometric priorization procedure. European J. Oper. Res. 153, 318–322 (2004)

    Article  MATH  Google Scholar 

  9. Forman, E., Peniwati, K.: Aggregating individual judgments and priorities with the Analytic Hierarchy Process. European J. Oper. Res. 108, 165–169 (1998)

    Article  MATH  Google Scholar 

  10. Laarhoven, P.J.M., Pedrycz, W.: A fuzzy extension of Saaty’s priority theory. Fuzzy Sets Syst. 11, 229–241 (1983)

    Article  MATH  Google Scholar 

  11. Gargallo Valero, P., Moreno-Jiménez, J.M., Salvador Figueras, M.: AHP-Group Decision Making: A Bayesian approach based on mixtures for group pattern identification. Group Decis. Negot. 16, 485–506 (2007)

    Article  Google Scholar 

  12. Moreno-Jiménez, J.M., Vargas, L.G.: A probabilistic study of preference structures in the Analytic Hierarchy Process with interval judgments. Math. Comput. Modelling 17, 73–81 (1993)

    Article  MATH  Google Scholar 

  13. Moreno-Jiménez, J.M., Aguarón, J., Escobar, M.T.: The core of consistency in AHP-Group Decision Making. Group Decis. Negot. 17(3), 249–265 (2008)

    Article  Google Scholar 

  14. Ramanathan, R., Ganesh, L.S.: Group preference aggregation methods employed in AHP: an evaluation and intrinsic process for deriving members weightages. European J. Oper. Res. 79, 249–265 (1994)

    Article  MATH  Google Scholar 

  15. Saaty, T.L.: Multicriteria Decision Making: the Analytic Hierarchy Process (2nd edn. in 1990, RSW, Pittsburgh) McGraw-Hill, New York (1980)

    Google Scholar 

  16. Saaty, T.L.: Group decision-making and the AHP. In: Golden, B.L., Wasil, E.A., Harker, P.T. (eds.) The Analytic Hierarchy Process: Applications and Studies, pp. 59–67. Springer, Heidelberg (1989)

    Google Scholar 

  17. Turón, A., Moreno-Jiménez, J.M.: Graphical visualization tools in AHP-Group Decision Making. In: Proceedings of Group Dec. and Negotiation 2006 Intl. Conf. IISM, Karlsruhe, Germany, pp. 150–152 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Grupo Decisión Multicriterio Zaragoza, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza, Zaragoza, Spain

    Pedro Terán & José María Moreno-Jiménez

Authors
  1. Pedro Terán
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. José María Moreno-Jiménez
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Université Paul Sabatier, Toulouse, France

    Didier Dubois  & Henri Prade  & 

  2. Universidad de Oviedo, Spain

    M. Asunción Lubiano  & María Ángeles Gil  & 

  3. Polish Academy of Sciences, Warsaw, Poland

    Przemysław Grzegorzewski

  4. Polish Academy of Sciences,, Warsaw, Poland

    Olgierd Hryniewicz

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Terán, P., Moreno-Jiménez, J.M. (2008). Group Decision Making with Soft AHP Based on the Random Set View of Fuzzy Sets. In: Dubois, D., Lubiano, M.A., Prade, H., Gil, M.Á., Grzegorzewski, P., Hryniewicz, O. (eds) Soft Methods for Handling Variability and Imprecision. Advances in Soft Computing, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85027-4_51

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85027-4_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85026-7

  • Online ISBN: 978-3-540-85027-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation