Skip to main content

A Novel D-S Theory Based AHP Decision Apparatus under Subjective Factor Disturbances

  • Conference paper
AI 2012: Advances in Artificial Intelligence (AI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7691))

Included in the following conference series:

Abstract

In real life, sometimes Multi-Criteria Decision Making (MCDM) problems are dealt with inevitably under the disturbance of subjective factors such as intuition, feeling and emotion. However, the existing work cannot handle the issue well. As a result, it is difficult for them to predict and give some decision support for MCDM problem of this kind. Thus, to address the issue, this paper constructs a novel Analytic Hierarchy Process (AHP) approach based on Dempster-Shafer (D-S) theory. More specifically, our model can: (i) handle the subjective factor disturbances by distinguish complete (there not exists any hidden subjective factors impact the decision) and incomplete (the converse of complete) criteria; (ii) differentiate incomplete and complete relative ranking of the groups of decision alternatives over a criterion; and (iii) handle the ambiguous criteria evaluations of the groups of decision alternatives. Moreover, we give two methods to reduce the subjective factor disturbances. Finally, we illustrated our approach with a real-life problem.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Böhm, G., Brun, W.: Intuition and Affect in Risk Perception and Decision Making. Judgment and Decision Making 3(1), 1–4 (2008)

    Google Scholar 

  2. 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 

  3. 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 Intelligence Systems. STUDFUZZ, vol. 258, pp. 365–387 (2010)

    Google Scholar 

  4. Chua, H.F., Gonzalez, R., Taylor, S.F., Welsh, R.C., Liberzon, I.: Decision-Related Loss: Regret and Disappointment. Neuroimage 47(4), 2031–2040 (2009)

    Article  Google Scholar 

  5. 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 

  6. Fenton-O’creevyi, M., Soane, E., Nicholson, N., Willman, P.: Thinking, Feeling and Deciding: The Influence of Emotions on the Decision Making and Performance of Traders. Journal of Organizational Behavior 32(8), 1044–1061 (2011)

    Article  Google Scholar 

  7. Wenstøp, F.: Mindsets, Rationality and Emotion in Multi-criteria Decision Analysis. Journal of Muliti-Criteria Decision Analysis 13(4), 161–172 (2005)

    Article  Google Scholar 

  8. Gollier, C.: Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion. Review of Economic Studies 78(4), 1329–1344 (2011)

    Article  MathSciNet  Google Scholar 

  9. Kahneman, D., Tversky, A.: Prospect Theory: An Analysis of Decision under Risk. Econometrica 47(2), 263–291 (1979)

    Article  MATH  Google Scholar 

  10. Kahneman, D.: A Perspective on Judgment and Choice: Mapping Bounded Rationality. American Psychologist 58(9), 697–704 (2003)

    Article  Google Scholar 

  11. Klibanoff, P., Marinacci, M., Mukerji, S.: On the Smooth Ambiguity Model: A Reply. Econometrica 80(3), 1303–1321 (2012)

    Article  MathSciNet  Google Scholar 

  12. Luo, X., Zhang, C., Jennings, N.R.: A Hybrid Model for Sharing Information between Fuzzy, Uncertain and Default Reasoning Models in Multi-Agent Systems. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10(4), 401–450 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  13. Loomes, G., Sugden, R.: Regret Theory: An Alternative Theory of Rational Choice under Uncertainty. Economic Journal 92(4), 805–824 (1982)

    Article  Google Scholar 

  14. Ma, W., Luo, X., Xiong, W.: Ambiguous DS/AHP Decision Making Approach with Missing, Imprecise, and Uncertain Evaluations of Multiple Criteria. Technique Report, Institute of Logic and Cognition. Sun Yat-Sen Univerisity (2012)

    Google Scholar 

  15. Ma, W., Xiong, W., Luo, X.: 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. LNCS, vol. 7458, pp. 297–311. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  16. Magoč, T.J., Wang, X.J., Modave, F.: Application of Fuzzy Measures and Interval Computation to Financial Portfolio Selection. International Journal of Intelligent Systems 25(7), 621–635 (2010)

    MATH  Google Scholar 

  17. Martineza, L.F., Zeelenbergb, M., Rijsman, B.J.: Regret, Disappointment and the Endowment Effect. Journal of Economic Psychology 32(6), 962–968 (2011)

    Article  Google Scholar 

  18. Reyna, V.F., Brainerd, C.J.: Dual Processes in Decision Making and Developmental Neuroscience: A Fuzzy-Trace Model. Developmental Review 31(2-3), 180–206 (2011)

    Google Scholar 

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

    MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  21. Summerville, A.: The Rush of Regret: A Longitudinal Analysis of Naturalistic Regrets. Social Psychological and Personality Science 2(6), 627–634 (2011)

    Article  Google Scholar 

  22. Tan, C.Q., Chen, X.H.: Induced Intuitionistic Fuzzy Choquet Integral Operator for Multicriteria Decision Making. International Journal of Intelligent Systems 26(7), 659–686 (2011)

    Article  Google Scholar 

  23. Xiong, W., Ma, W., Luo, X.: An Expected Utility Interval Theory for Decision-Making under Uncertainty of Ambiguity: To Avoid Ambiguity and Minimise Regret. Technique Report, Institute of Logic and Cognition. Sun Yat-Sen Univerisity (2012)

    Google Scholar 

  24. Xiong, W., Luo, X., Ma, W.: Games with Ambiguious Payoff and Played by Ambiguity and Regret Minimising Players. In: The 25th Australia Joint Conference on Artificial Intelligence (2012)

    Google Scholar 

  25. Zadeh, L.A.: Fuzzy Sets. Information and Control 8(3), 338–353 (1965)

    Article  MathSciNet  MATH  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., Luo, X., Xiong, W. (2012). A Novel D-S Theory Based AHP Decision Apparatus under Subjective Factor Disturbances. In: Thielscher, M., Zhang, D. (eds) AI 2012: Advances in Artificial Intelligence. AI 2012. Lecture Notes in Computer Science(), vol 7691. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35101-3_73

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35101-3_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35100-6

  • Online ISBN: 978-3-642-35101-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics