Skip to main content

An Evaluation Method with Imprecise Information for Multi-attribute Decision Support

  • Conference paper
Current Topics in Artificial Intelligence (CAEPIA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4177))

Included in the following conference series:

  • 834 Accesses

Abstract

This paper presents a method using intervals for representing and synthesizing imprecise information for multi-attribute evaluation and decision-making support. An implementation is given for selecting an alternative for a project in a real case in the context of construction in civil engineering. As a previous step to aggregate the available information, a methodology is proposed for summarizing and normalizing values in an intervals context, representing the alternatives by means of rectangles in \(\mathbb R^n\) (products of n finite closed intervals in \(\mathbb R\)). A distance is introduced in the set of rectangles, defining a total order once a reference rectangle is considered. A method is given for the choice of the best alternative based on the comparison of distances to a reference rectangle. The constraints which guarantee consistency are determined and the consistency of the method is established.

This work has been partially supported by the MCyT (Spanish Ministry of Science and Technology) projects MERITO (TIC2002-04371-C02) and MIVES (MAT2002-04310-C03-01).

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

Access this chapter

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. Al-Subhi, K.M.: Application of the AHP in Project management. International Journal of Project Management 19, 19–28 (2001)

    Article  Google Scholar 

  2. González Pachón, J., Romero López, C.: Aggregation of partial ordinal rankings. An interval goal programming approach 28, 827–834 (2001)

    MATH  Google Scholar 

  3. Kallio, M., Lewandowski, A., Orchard-Hays, W.: An Implementation of the Reference Point Approach for Multi-Objective Optimization. WP-80-35, IIASA, Laxenburg (1980)

    Google Scholar 

  4. Keeney, R.L., Raiffa, H.: Decisions with multiple objectives preferences and value trade-offs. Cambridge University Press, Cambridge (1993)

    Google Scholar 

  5. Ormazabal, G.: IDS: A new integrated decision system for construction project management. PhD Thesis, Department of Construction Engineering, Technical Univ.of Catalonia (UPC), Barcelona, Spain (2002)

    Google Scholar 

  6. Romero López, C.: Extended lexicographic goal programming: A unifying approach. Omega, The International Journal of Management Science 29, 63–71 (2001)

    Article  Google Scholar 

  7. Romero López, C., Tamiz, M., Jones, D.: Comments on goal programming, compromise programming and reference point method formulations: linkages and utility interpretations-A reply. Journal of the Operational Research Society 52, 962–965 (2001)

    Article  Google Scholar 

  8. Saaty, T.L.: The Analytical Hierarchy Process. Ed. Willey, New York (1990)

    Google Scholar 

  9. Wierzbicki, A.P.: The use of reference objectives in multiobjective optimization. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making; Theory and Applications. Lecture Notes in Economic and Mathematical Systems, vol. 177, pp. 468–486. Springer-Verlag, Berlin-Heidelberg (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Prats, F., Sánchez, M., Agell, N., Ormazabal, G. (2006). An Evaluation Method with Imprecise Information for Multi-attribute Decision Support. In: Marín, R., Onaindía, E., Bugarín, A., Santos, J. (eds) Current Topics in Artificial Intelligence. CAEPIA 2005. Lecture Notes in Computer Science(), vol 4177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881216_15

Download citation

  • DOI: https://doi.org/10.1007/11881216_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45914-9

  • Online ISBN: 978-3-540-45915-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics