IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v112y1999i2p373-396.html
   My bibliography  Save this article

Geometry of decision making and the vector space formulation of the analytic hierarchy process

Author

Listed:
  • Zahir, Sajjad

Abstract

No abstract is available for this item.

Suggested Citation

  • Zahir, Sajjad, 1999. "Geometry of decision making and the vector space formulation of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 112(2), pages 373-396, January.
    • Handle: RePEc:eee:ejores:v:112:y:1999:i:2:p:373-396
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(98)00020-4
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. James S. Dyer, 1990. "Remarks on the Analytic Hierarchy Process," Management Science, INFORMS, vol. 36(3), pages 249-258, March.
    2. Belton, Valerie & Gear, Tony, 1985. "The legitimacy of rank reversal--A comment," Omega, Elsevier, vol. 13(3), pages 143-144.
    3. Thomas L. Saaty, 1990. "An Exposition of the AHP in Reply to the Paper "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 259-268, March.
    4. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    5. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328-328.
    6. James S. Dyer, 1990. "A Clarification of "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 274-275, March.
    7. Saaty, Thomas L & Vargas, Luis G, 1984. "The legitimacy of rank reversal," Omega, Elsevier, vol. 12(5), pages 513-516.
    8. Belton, Valerie & Gear, Tony, 1983. "On a short-coming of Saaty's method of analytic hierarchies," Omega, Elsevier, vol. 11(3), pages 228-230.
    9. Saaty, Thomas L., 1990. "Physics as a decision theory," European Journal of Operational Research, Elsevier, vol. 48(1), pages 98-104, September.
    10. Wade D. Cook & Moshe Kress, 1985. "Ordinal Ranking with Intensity of Preference," Management Science, INFORMS, vol. 31(1), pages 26-32, January.
    11. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Parra-Lopez, Carlos & Calatrava-Requena, Javier & de-Haro-Gimenez, Tomas, 2008. "A systemic comparative assessment of the multifunctional performance of alternative olive systems in Spain within an AHP-extended framework," Ecological Economics, Elsevier, vol. 64(4), pages 820-834, February.
    2. Amenta, Pietro & Lucadamo, Antonio & Marcarelli, Gabriella, 2021. "On the choice of weights for aggregating judgments in non-negotiable AHP group decision making," European Journal of Operational Research, Elsevier, vol. 288(1), pages 294-301.
    3. Macharis, Cathy & Springael, Johan & De Brucker, Klaas & Verbeke, Alain, 2004. "PROMETHEE and AHP: The design of operational synergies in multicriteria analysis.: Strengthening PROMETHEE with ideas of AHP," European Journal of Operational Research, Elsevier, vol. 153(2), pages 307-317, March.
    4. Díaz, H. & Guedes Soares, C., 2022. "A novel multi-criteria decision-making model to evaluate floating wind farm locations," Renewable Energy, Elsevier, vol. 185(C), pages 431-454.
    5. Majid Azizi & Fatemeh Rahimi & Charles D. Ray & Mehdi Faezipour & Mosen Ziaie, 2016. "A decision model for prioritizing geographic regions for cellulosic renewable energy," Cogent Business & Management, Taylor & Francis Journals, vol. 3(1), pages 1249233-124, December.
    6. Leoneti, Alexandre Bevilacqua, 2016. "Utility Function for modeling Group Multicriteria Decision Making problems as games," Operations Research Perspectives, Elsevier, vol. 3(C), pages 21-26.
    7. Gass, S. I. & Rapcsak, T., 2004. "Singular value decomposition in AHP," European Journal of Operational Research, Elsevier, vol. 154(3), pages 573-584, May.
    8. Changsheng Lin & Gang Kou & Yi Peng & Fawaz E. Alsaadi, 2022. "Aggregation of the nearest consistency matrices with the acceptable consensus in AHP-GDM," Annals of Operations Research, Springer, vol. 316(1), pages 179-195, September.
    9. Kirytopoulos, Konstantinos & Voulgaridou, Dimitra & Platis, Agapios & Leopoulos, Vrassidas, 2011. "An effective Markov based approach for calculating the Limit Matrix in the analytic network process," European Journal of Operational Research, Elsevier, vol. 214(1), pages 85-90, October.
    10. Azizi, Majid & Ray, Charles, 2015. "Introducing a status of access to raw material resources for manufacturers of cellulosic industries," Forest Policy and Economics, Elsevier, vol. 51(C), pages 17-28.
    11. Schoop, Mareike (Ed.) & Kilgour, D. Marc (Ed.), 2017. "Doctoral consortium of the 17th International Conference on Group Decision and Negotiation," Hohenheim Discussion Papers in Business, Economics and Social Sciences 17-2017, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    12. Yu-Cheng Tang & Malcolm J. Beynon, 2005. "Application and Development of a Fuzzy Analytic Hierarchy Process within a Capital Investment Study," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 1(2), pages 207-230, July.
    13. Tang, Ming & Liao, Huchang, 2021. "From conventional group decision making to large-scale group decision making: What are the challenges and how to meet them in big data era? A state-of-the-art survey," Omega, Elsevier, vol. 100(C).
    14. Kou, Gang & Lin, Changsheng, 2014. "A cosine maximization method for the priority vector derivation in AHP," European Journal of Operational Research, Elsevier, vol. 235(1), pages 225-232.
    15. Petra Grošelj & Špela Pezdevšek Malovrh & Lidija Zadnik Stirn, 2011. "Methods based on data envelopment analysis for deriving group priorities in analytic hierarchy process," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(3), pages 267-284, September.
    16. Sudhakar Yedla & Ram M. Shrestha, 2007. "Application of Analytic Hierarchy Process to Prioritize Urban Transport Options - Comparative Analysis of Group Aggregation Methods," Microeconomics Working Papers 22400, East Asian Bureau of Economic Research.
    17. L. Sun & B. S. Greenberg, 2006. "Multicriteria Group Decision Making: Optimal Priority Synthesis from Pairwise Comparisons," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 317-339, August.
    18. Sangeeta Pant & Anuj Kumar & Mangey Ram & Yury Klochkov & Hitesh Kumar Sharma, 2022. "Consistency Indices in Analytic Hierarchy Process: A Review," Mathematics, MDPI, vol. 10(8), pages 1-15, April.
    19. Buchholz, Thomas & Rametsteiner, Ewald & Volk, Timothy A. & Luzadis, Valerie A., 2009. "Multi Criteria Analysis for bioenergy systems assessments," Energy Policy, Elsevier, vol. 37(2), pages 484-495, February.
    20. Bolloju, N., 2001. "Aggregation of analytic hierarchy process models based on similarities in decision makers' preferences," European Journal of Operational Research, Elsevier, vol. 128(3), pages 499-508, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bana e Costa, Carlos A. & Vansnick, Jean-Claude, 2008. "A critical analysis of the eigenvalue method used to derive priorities in AHP," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1422-1428, June.
    2. Leung, Lawrence C. & Cao, Dong, 2001. "On the efficacy of modeling multi-attribute decision problems using AHP and Sinarchy," European Journal of Operational Research, Elsevier, vol. 132(1), pages 39-49, July.
    3. Majumdar, Abhijit & Tiwari, Manoj Kumar & Agarwal, Aastha & Prajapat, Kanika, 2021. "A new case of rank reversal in analytic hierarchy process due to aggregation of cost and benefit criteria," Operations Research Perspectives, Elsevier, vol. 8(C).
    4. Liu, Qizhi, 2022. "Identifying and correcting the defects of the Saaty analytic hierarchy/network process: A comparative study of the Saaty analytic hierarchy/network process and the Markov chain-based analytic network ," Operations Research Perspectives, Elsevier, vol. 9(C).
    5. Joaquín Pérez, José L. Jimeno, Ethel Mokotoff, 2001. "Another potential strong shortcoming of AHP," Doctorado en Economía- documentos de trabajo 8/02, Programa de doctorado en Economía. Universidad de Alcalá., revised 01 Jun 2002.
    6. Jain, Bharat A. & Nag, Barin N., 1996. "A decision-support model for investment decisions in new ventures," European Journal of Operational Research, Elsevier, vol. 90(3), pages 473-486, May.
    7. Alessio Ishizaka & Sajid Siraj, 2020. "Interactive consistency correction in the analytic hierarchy process to preserve ranks," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 443-464, December.
    8. Höfer, Tim & Sunak, Yasin & Siddique, Hafiz & Madlener, Reinhard, 2016. "Wind farm siting using a spatial Analytic Hierarchy Process approach: A case study of the Städteregion Aachen," Applied Energy, Elsevier, vol. 163(C), pages 222-243.
    9. Blanca Ceballos & David A. Pelta & María T. Lamata, 2018. "Rank Reversal and the VIKOR Method: An Empirical Evaluation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 513-525, March.
    10. Zanakis, Stelios H. & Solomon, Anthony & Wishart, Nicole & Dublish, Sandipa, 1998. "Multi-attribute decision making: A simulation comparison of select methods," European Journal of Operational Research, Elsevier, vol. 107(3), pages 507-529, June.
    11. Ardalan Bafahm & Minghe Sun, 2019. "Some Conflicting Results in the Analytic Hierarchy Process," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 465-486, March.
    12. Van den Honert, R. C., 1998. "Stochastic group preference modelling in the multiplicative AHP: A model of group consensus," European Journal of Operational Research, Elsevier, vol. 110(1), pages 99-111, October.
    13. Belton, Valerie & Goodwin, Paul, 1996. "Remarks on the application of the analytic hierarchy process to judgmental forecasting," International Journal of Forecasting, Elsevier, vol. 12(1), pages 155-161, March.
    14. Millet, Ido & Saaty, Thomas L., 2000. "On the relativity of relative measures - accommodating both rank preservation and rank reversals in the AHP," European Journal of Operational Research, Elsevier, vol. 121(1), pages 205-212, February.
    15. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi & Dai, Min, 2008. "A comparative study of the numerical scales and the prioritization methods in AHP," European Journal of Operational Research, Elsevier, vol. 186(1), pages 229-242, April.
    16. L. Sun & B. S. Greenberg, 2006. "Multicriteria Group Decision Making: Optimal Priority Synthesis from Pairwise Comparisons," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 317-339, August.
    17. Stam, Antonie & Duarte Silva, A. Pedro, 2003. "On multiplicative priority rating methods for the AHP," European Journal of Operational Research, Elsevier, vol. 145(1), pages 92-108, February.
    18. James E. Smith & Detlof von Winterfeldt, 2004. "Anniversary Article: Decision Analysis in Management Science," Management Science, INFORMS, vol. 50(5), pages 561-574, May.
    19. Macharis, Cathy & Springael, Johan & De Brucker, Klaas & Verbeke, Alain, 2004. "PROMETHEE and AHP: The design of operational synergies in multicriteria analysis.: Strengthening PROMETHEE with ideas of AHP," European Journal of Operational Research, Elsevier, vol. 153(2), pages 307-317, March.
    20. Olson, David L. & Fliedner, Gene & Currie, Karen, 1995. "Comparison of the REMBRANDT system with analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 82(3), pages 522-539, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:112:y:1999:i:2:p:373-396. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.