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Bipolar method and its modifications

Author

Listed:
  • Tadeusz Trzaskalik

    (University of Economics)

  • Sebastian Sitarz

    (University of Silesia)

  • Cezary Dominiak

    (Rosomak S.A)

Abstract

Bipolar is one of the multiple criteria decision analysis methods, proposed by Konarzewska-Gubała (in Archiwum Automatyki i Telemechaniki 32(4):289–300, 1987). The main feature of the method is that alternatives are not compared directly with each other, but they are confronted to the two reference sets of objects: desirable and non-acceptable. Practical application of the method revealed its shortcomings, therefore improvements of the method were desirable. The aim of the paper is to formulate some modifications of the classical Bipolar approach and consider a case where reference sets are numerous. Unified Bipolar procedure which contains classical Bipolar method as well as the modifications described in the paper is given. Numerical illustrations of the modifications and unified approach are also presented.

Suggested Citation

  • Tadeusz Trzaskalik & Sebastian Sitarz & Cezary Dominiak, 2019. "Bipolar method and its modifications," 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. 27(3), pages 625-651, September.
    • Handle: RePEc:spr:cejnor:v:27:y:2019:i:3:d:10.1007_s10100-019-00615-2
    DOI: 10.1007/s10100-019-00615-2
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    Cited by:

    1. 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.
    2. Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2019. "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. 27(3), pages 597-599, September.
    3. Ewa Roszkowska & Marzena Filipowicz-Chomko & Tomasz Wachowicz, 2020. "Using individual and common reference points to measure the performance of alternatives in multiple criteria evaluation," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(3), pages 77-96.
    4. Tadeusz Trzaskalik, 2021. "Bipolar sorting and ranking of multistage alternatives," 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 933-955, September.

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