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A New Application for the Goal Programming—The Target Decision Rule for Uncertain Problems

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  • Helena Gaspars-Wieloch

    (Department of Operations Research and Mathematical Economics, Institute of Informatics and Quantitative Economics, Poznan University of Economics and Business, 61-875 Poznan, Poland)

Abstract

The goal programming (GP) is a well-known approach applied to multi-criteria decision making (M-DM). It has been used in many domains and the literature offers diverse extensions of this procedure. On the other hand, so far, some evident analogies between M-DM under certainty and scenario-based one-criterion decision making under uncertainty (1-DMU) have not been revealed in the literature. These similarities give the possibility to adjust the goal programming to an entirely new domain. The purpose of the paper is to create a novel method for uncertain problems on the basis of the GP ideas. In order to achieve this aim we carefully examine the analogies occurring between the structures of both issues (M-DM and 1-DMU). We also analyze some differences resulting from a different interpretation of the data. By analogy to the goal programming, four hybrids for 1-DMU are formulated. They differ from each other in terms of the type of the decision maker considered (pessimist, optimist, moderate). The new decision rule may be helpful when solving uncertain problems since it is especially designed for neutral criteria, which are not taken into account in existing procedures developed for 1-DMU.

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  • Helena Gaspars-Wieloch, 2020. "A New Application for the Goal Programming—The Target Decision Rule for Uncertain Problems," JRFM, MDPI, vol. 13(11), pages 1-14, November.
    • Handle: RePEc:gam:jjrfmx:v:13:y:2020:i:11:p:280-:d:444515
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    References listed on IDEAS

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    1. Parinaz Aliasghari & Behnam Mohammadi-Ivatloo & Mehdi Abapour & Ali Ahmadian & Ali Elkamel, 2020. "Goal Programming Application for Contract Pricing of Electric Vehicle Aggregator in Join Day-Ahead Market," Energies, MDPI, vol. 13(7), pages 1-12, April.
    2. Leandro Maciel & Rosangela Ballini & Fernando Gomide, 2018. "Evolving fuzzy modelling for yield curve forecasting," International Journal of Economics and Business Research, Inderscience Enterprises Ltd, vol. 15(3), pages 290-311.
    3. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    4. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    5. Alexey Evgenievich Cherepovitsyn & Alina Alexandrovna Ilinova, 2018. "Methods and Tools of Scenario Planning in Areas of Natural Resources Management," European Research Studies Journal, European Research Studies Journal, vol. 0(1), pages 434-446.
    6. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324, November.
    7. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    8. Anjali Singh & Anjana Gupta & Aparna Mehra, 2020. "Matrix games with 2-tuple linguistic information," Annals of Operations Research, Springer, vol. 287(2), pages 895-910, April.
    9. Catalin Angelo Ioan & Gina Ioan, 2011. "A A method of choice of the best alternative in the multiple solutions case in the Games Theory," The Journal of Accounting and Management, Danubius University of Galati, issue 1, pages 5-8, May.
    10. Durbach, Ian N., 2014. "Outranking under uncertainty using scenarios," European Journal of Operational Research, Elsevier, vol. 232(1), pages 98-108.
    11. repec:cup:judgdm:v:3:y:2008:i::p:174-180 is not listed on IDEAS
    12. Stewart, Theodor J. & French, Simon & Rios, Jesus, 2013. "Integrating multicriteria decision analysis and scenario planning—Review and extension," Omega, Elsevier, vol. 41(4), pages 679-688.
    13. W. Allen Spivey & Hirokuni Tamura, 1970. "Goal programming in econometrics," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 17(2), pages 183-192, June.
    14. Hayashi, Takashi, 2008. "Regret aversion and opportunity dependence," Journal of Economic Theory, Elsevier, vol. 139(1), pages 242-268, March.
    15. Vrat, Prem & Kriengkrairut, Charoen, 1986. "A goal programming model for project crashing with piecewise linear time-cost trade-off," Engineering Costs and Production Economics, Elsevier, vol. 10(2), pages 161-172, June.
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    2. Helena Gaspars-Wieloch, 2023. "Scenario planning as a new application area for TOPSIS," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(2), pages 23-34.

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