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Methods based on data envelopment analysis for deriving group priorities in analytic hierarchy process

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  • Petra Grošelj
  • Špela Pezdevšek Malovrh
  • Lidija Zadnik Stirn

Abstract

In recent years, group decision making has become one of the important issues in multiple criteria decision making, and analytic hierarchy process (AHP) is considered an appropriate method when dealing with this kind of problems. Many different approaches for attaining a group valuation in AHP have been developed. The applications most commonly employ the weighted geometric mean method. In the paper, we focus on the group AHP methods, which are based on the data envelopment analysis (DEA). First we discuss two methods for deriving a group priority vector: Wang and Chin’s DEA group method and Hosseinian et al.’s DEA-WDGD. Further, we propose a new WGMDEA method and compare all three methods with the WGMM on theoretical examples and on a real case study. The objective of the case study is to examine the current state of forest owners’ cooperatives. An analysis of the influence of forest owners’ cooperatives on private forest management in Slovenia was put forward. The A’WOT analysis, which is a combined method of AHP and SWOT analysis, an approach for identifying the strengths, weaknesses, opportunities and threats of the object under consideration, was performed. Copyright Springer-Verlag 2011

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  • 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.
  • Handle: RePEc:spr:cejnor:v:19:y:2011:i:3:p:267-284
    DOI: 10.1007/s10100-011-0191-x
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    Cited by:

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    2. Rauch, Peter & Wolfsmayr, Ulrich J. & Borz, Stelian Alexandru & Triplat, Matevž & Krajnc, Nike & Kolck, Matthias & Oberwimmer, Roland & Ketikidis, Chrysovalantis & Vasiljevic, Aleksandar & Stauder, Mi, 2015. "SWOT analysis and strategy development for forest fuel supply chains in South East Europe," Forest Policy and Economics, Elsevier, vol. 61(C), pages 87-94.
    3. Kao, Chiang & Liu, Shiang-Tai, 2022. "Group decision making in data envelopment analysis: A robot selection application," European Journal of Operational Research, Elsevier, vol. 297(2), pages 592-599.
    4. Tibor Csendes & Janez Povh & Lidija Stirn & Janez Žerovnik, 2011. "Editorial," 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 251-252, September.
    5. Andrej Kastrin & Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2021. "Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR," 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. 29(3), pages 773-790, September.
    6. Urszula Kwast-Kotlarek & Maria Hełdak, 2019. "Evaluation of the Construction and Investment Process of a High-Pressure Gas Pipeline with Use of the Trenchless Method and Open Excavation Method. Analytic Hierarchy Process (AHP)," Sustainability, MDPI, vol. 11(8), pages 1-18, April.
    7. Nehal Elshaboury & Tarek Attia & Mohamed Marzouk, 2020. "Comparison of Several Aggregation Techniques for Deriving Analytic Network Process Weights," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4901-4919, December.

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