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Vectors of indicators and pointer function in the Multistage Bipolar Method

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  • Tadeusz Trzaskalik

    (University of Economics in Katowice)

Abstract

The Multistage Bipolar Method considered in the paper deals with multistage decision processes. Multistage alternatives are not compared directly to each other, but they are confronted with the stage sets of reference objects—desirable and non-acceptable. In the paper vectors and pointer functions are defined. The aim of the paper is to apply them to classify and rank multistage alternatives and search for the final solution. Our method simplifies the procedure of finding the final solution and allows to use single criterion dynamic programming to solve the problem.

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  • Tadeusz Trzaskalik, 2023. "Vectors of indicators and pointer function in the Multistage Bipolar Method," 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. 31(3), pages 791-816, September.
    • Handle: RePEc:spr:cejnor:v:31:y:2023:i:3:d:10.1007_s10100-022-00833-1
    DOI: 10.1007/s10100-022-00833-1
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    References listed on IDEAS

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    1. Wojtek Michalowski & Tomek Szapiro, 1992. "A Bi-Reference Procedure for Interactive Multiple Criteria Programming," Operations Research, INFORMS, vol. 40(2), pages 247-258, April.
    2. 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.
    3. Chiranjibe Jana & Madhumangal Pal, 2018. "Application of Bipolar Intuitionistic Fuzzy Soft Sets in Decision Making Problem," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(3), pages 32-55, July.
    4. Piotr Wojewnik & Tomasz Szapiro, 2010. "Bireference Procedure fBIP for Interactive Multicriteria Optimization with Fuzzy Coefficients," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 2(3), pages 169-193, June.
    5. Tadeusz Trzaskalik, 2022. "Multiobjective dynamic programming in bipolar multistage method," Annals of Operations Research, Springer, vol. 311(2), pages 1259-1279, April.
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    Cited by:

    1. Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2023. "60 years of OR in Slovenia: development from a first conference to a vibrant community," 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. 31(3), pages 681-690, September.

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