Skip to main content

A D-S Theory Based AHP Decision Making Approach with Ambiguous Evaluations of Multiple Criteria

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7458))

Abstract

This paper proposes an ambiguity aversion principle of minimax regret to extend DS/AHP approach of multi-criteria decision making (MCDM). This extension can analyze the MCDM problems with ambiguous evaluations of multiple criteria. Such evaluations cannot be avoided in real life, but that existing MCDM theories and models cannot handle it well. We also give an example of real estate investment to illustrate our approach.

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

Buying options

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. Awasthi, A., Chauhan, S.S.: Using AHP and Dempstere-Shafer Theory for Evaluating Sustainable Transport Solutions. Environmental Modelling & Software 26(6), 787–796 (2011)

    Article  Google Scholar 

  2. Beynon, M.J., Curry, B., Morgan, P.H.: The Dempster-Shafer Theory of Evidence: An Alternative Approach to Multicriteria Decision Modelling. Omega 28(1), 37–50 (2000)

    Article  MathSciNet  Google Scholar 

  3. Beynon, M.J.: DS/AHP Method: A Mathematical Analysis, Including an Understanding of Uncertainty. European Journal of Operational Research 140(1), 149–165 (2002)

    Google Scholar 

  4. Beynon, M.J.: Understanding Local Ignorance and Non-Specificity within the DS/AHP Method of Multi-Criteria Decision Making. European Journal of Operational Research 163(2), 403–417 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Beynon, M.J.: The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule within Group Decision Making. Group Decision and Negotiation 15(1), 21–42 (2006)

    Article  Google Scholar 

  6. Beynon, M.J., Moutinho, L., Veloutsou, C.: A Dempster-Shafer Theory Based Exposition of Probabilistic Reasoning in Consumer Choice. In: Casillas, J., Martínez-López, F.J. (eds.) Marketing Intelligent Systems Using Soft Computing. STUDFUZZ, vol. 258, pp. 365–387. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  7. Dempster, A.P.: Upper and Lower Probabilities Induced by a Multivalued Mapping. The Annals of Mathematical Statistics 38(2), 325–339 (1967)

    Article  MathSciNet  MATH  Google Scholar 

  8. Dubois, D., Prade, H.: A Note on Measures of Specificity for Fuzzy Sets. International Journal of General Systems 10(4), 279–283 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  9. Ellsberg, D.: Risk, Ambiguous, and the Savage Axioms. Quarterly Journal of Economics 75(4), 643–669 (1961)

    Article  Google Scholar 

  10. Landman, J.: Regret: the Persistence of the Possible. Oxford University Press, Oxford (1993)

    Google Scholar 

  11. Luo, X., Jennings, N.R., Shadbolt, N., Leung, H.-f., Lee, J.H.-m.: A Fuzzy Constraint-based Knowledge Model for Bilateral, Multi-issue Negotiations in Semi-competitive Environments. Artificial Intelligence 148(1-2), 53–102 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  12. Luo, X., Lee, J.H.-m., Leung, H.-f., Jennings, N.R.: Prioritised Fuzzy Constraint Satisfaction Problems: Axioms, Instantiation and Validation. Fuzzy Sets and Systems 136(2), 155–188 (2003)

    Article  MathSciNet  Google Scholar 

  13. Luo, X., Jennings, N.R.: A Spectrum of Compromise Aggregation Operators for Multi-Attribute Decision Making. Artificial Intelligence 171(2-3), 161–184 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  14. Luo, X., Miao, C., Jennings, N.R., He, M., Shen, Z., Zhang, M.: KEMNAD: A Knowledge Engineering Methodology for Negotiating Agent Development. Computational Intelligence 28(1), 51–105 (2012)

    Article  MathSciNet  Google Scholar 

  15. Pan, L., Luo, X., Meng, X., Miao, C., He, M., Guo, X.: A Two-Stage Win-Win Multi-Attribute Negotiation Model. In: Intelligence Optimization and Then Concession (2012), doi: 10.1111/j.1467-8640.2012.00434.x

    Google Scholar 

  16. Ricci, R.G., Mesiar, R.: Multi-Attribute Aggregation Operators. Fuzzy Sets and Systems 181(1), 1–13 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  17. Saaty, T.L.: The Analytic Hierarchy Process. McGraw Hill, New York (1980)

    MATH  Google Scholar 

  18. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)

    MATH  Google Scholar 

  19. Strat, T.M.: Decision Analysis Using Belief Functions. International Journal of Approximate Reasoning 4(5-6), 391–418 (1990)

    Article  MATH  Google Scholar 

  20. Savage, L.: The Theory of Statistical Decision. Journal of the American Statistical Association 46(253), 54–67 (1951)

    Article  Google Scholar 

  21. Treich, N.: The Value of a Statistical Life under Ambiguous Aversion. Journal of Environmental Economics and Management 59(1), 15–26 (2010)

    Article  MATH  Google Scholar 

  22. von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior, Commemorative edition. Pricetion University Press, Pricetion (2004)

    Google Scholar 

  23. Yu, X., Xu, Z., Liu, S., Chen, Q.: Multicriteria Decision Making with 2-Dimension Linguistic Aggregation Techniques. International Journal of Intelligent Systems 27(6), 539–562 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ma, W., Xiong, W., Luo, X. (2012). A D-S Theory Based AHP Decision Making Approach with Ambiguous Evaluations of Multiple Criteria. In: Anthony, P., Ishizuka, M., Lukose, D. (eds) PRICAI 2012: Trends in Artificial Intelligence. PRICAI 2012. Lecture Notes in Computer Science(), vol 7458. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32695-0_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-32695-0_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32694-3

  • Online ISBN: 978-3-642-32695-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics