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A preference-based interpretation of AHP

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  • Lai, S-K.

Abstract

The relationship between MAUT and AHP for three-level hierarchic structures is demonstrated based on a common framework interpreting multiattribute decision making techniques. A theorem showing the conditions under which two multiattribute decision making techniques result in a consistent preference structure is proved. It can be justified based on this theorem that the rank reversal problem in AHP resulting from the addition or deletion of alternatives is caused by multiplying inappropriate criteria priorities with local priorities for alternatives. A scaling method, AHP', is introduced synthesizing judgments from pairwise comparisons within and among criteria into value scales in MAUT.

Suggested Citation

  • Lai, S-K., 1995. "A preference-based interpretation of AHP," Omega, Elsevier, vol. 23(4), pages 453-462, August.
    • Handle: RePEc:eee:jomega:v:23:y:1995:i:4:p:453-462
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    1. James S. Dyer, 1990. "Remarks on the Analytic Hierarchy Process," Management Science, INFORMS, vol. 36(3), pages 249-258, March.
    2. Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 32(7), pages 841-855, July.
    3. Troutt, MD & Tadisina, SK, 1990. "Corrigendum and further results: Rank reversal and the dependence of priorities on the underlying MAV function," Omega, Elsevier, vol. 18(6), pages 655-656.
    4. S-K Lai & L D Hopkins, 1989. "The Meanings of Trade-Offs in Multiattribute Evaluation Methods: A Comparison," Environment and Planning B, , vol. 16(2), pages 155-170, June.
    5. Schoner, Bertram & Wedley, William C. & Choo, Eng Ung, 1993. "A unified approach to AHP with linking pins," European Journal of Operational Research, Elsevier, vol. 64(3), pages 384-392, February.
    6. S-K Lai & L D Hopkins, 1995. "Can Decisionmakers Express Multiattribute Preferences Using AHP and MUT? An Experiment," Environment and Planning B, , vol. 22(1), pages 21-34, February.
    7. James S. Dyer, 1990. "A Clarification of "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 274-275, March.
    8. Patrick T. Harker & Luis G. Vargas, 1987. "The Theory of Ratio Scale Estimation: Saaty's Analytic Hierarchy Process," Management Science, INFORMS, vol. 33(11), pages 1383-1403, November.
    9. Belton, Valerie, 1986. "A comparison of the analytic hierarchy process and a simple multi-attribute value function," European Journal of Operational Research, Elsevier, vol. 26(1), pages 7-21, July.
    10. Belton, Valerie & Gear, Tony, 1983. "On a short-coming of Saaty's method of analytic hierarchies," Omega, Elsevier, vol. 11(3), pages 228-230.
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    Cited by:

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    3. Safet Emruli & Agim Nuhiu & Besa Kadriu, 2016. "Copyright and Copyright Protection," European Journal of Interdisciplinary Studies Articles, Revistia Research and Publishing, vol. 2, ejis_v2_i.

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