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Modeling Uncertainty in the Wings Method Using Interval Arithmetic

Author

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  • Jerzy Michnik

    (Department of Operational Research, University of Economics in Katowice, Poland)

  • Artur Grabowski

    (Department of Economics, University of Economics in Katowice, Poland)

Abstract

This paper introduces a novel approach to support decision-making by combining the Weighted Influence Nonlinear Gauge System (WINGS) method with interval arithmetic. This approach allows to include uncertain judgments and/or different opinions in a decision process. Our research aims at increasing the ability of WINGS to model decisions in situations of uncertainty and at extending the reach of its practical applications. The new, relatively simple and transparent method can become a useful and practical tool for the decision makers. Mathematical correctness of the proposed methodology is proven.Based on the new method, a procedure for solving a complex decision problem is created. Its applicability is illustrated by two case studies. Choosing the best option for the organization’s competitive position in a health-care organization shows how the proposed method works with uncertain judgments. Its usefulness for group decision-making is illustrated by applying it to a decision concerning allocation of public funds for sport development in a small commune.

Suggested Citation

  • Jerzy Michnik & Artur Grabowski, 2020. "Modeling Uncertainty in the Wings Method Using Interval Arithmetic," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 221-240, January.
    • Handle: RePEc:wsi:ijitdm:v:19:y:2020:i:01:n:s0219622019500494
    DOI: 10.1142/S0219622019500494
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    1. Rodrigues, Teresa C. & Montibeller, Gilberto & Oliveira, Mónica D. & Bana e Costa, Carlos A., 2017. "Modelling multicriteria value interactions with Reasoning Maps," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1054-1071.
    2. Dimitris K. Despotis & Dimitris Derpanis, 2008. "A Min–Max Goal Programming Approach To Priority Derivation In Ahp With Interval Judgements," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 175-182.
    3. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, December.
    4. Yang Liu & Jian-Wu Bi & Zhi-Ping Fan, 2017. "A Method for Ranking Products Through Online Reviews Based on Sentiment Classification and Interval-Valued Intuitionistic Fuzzy TOPSIS," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 1497-1522, November.
    5. Durbach, Ian N. & Stewart, Theodor J., 2012. "Modeling uncertainty in multi-criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 223(1), pages 1-14.
    6. Wladimir Andreff & Paul Staudohar, 2000. "The Evolving European Model of Professional Sports Finance," Post-Print halshs-00274661, HAL.
    7. Michnik, Jerzy, 2013. "Weighted Influence Non-linear Gauge System (WINGS) – An analysis method for the systems of interrelated components," European Journal of Operational Research, Elsevier, vol. 228(3), pages 536-544.
    8. Jerzy Michnik, 2018. "The WINGS method with multiple networks and its application to innovation projects selection," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 10(2), pages 105-126.
    9. Zhang, Huanhuan & Kou, Gang & Peng, Yi, 2019. "Soft consensus cost models for group decision making and economic interpretations," European Journal of Operational Research, Elsevier, vol. 277(3), pages 964-980.
    10. Wladimir Andreff, 2011. "Contemporary Issues in Sports Economics: Participation and Professional Team Sports," Post-Print halshs-00580215, HAL.
    11. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, September.
    12. Wenshuai Wu & Gang Kou, 2016. "A group consensus model for evaluating real estate investment alternatives," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 2(1), pages 1-10, December.
    13. Wladimir Andreff, 2011. "Contemporary Issues in Sports Economics: Participation and Professional Team Sports," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00580215, HAL.
    14. Theodor J Stewart, 2005. "Dealing with Uncertainties in MCDA," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 445-466, Springer.
    15. Abbas Mardani & Mehrbakhsh Nilashi & Edmundas Kazimieras Zavadskas & Siti Rahmah Awang & Habib Zare & Noriza Mohd Jamal, 2018. "Decision Making Methods Based on Fuzzy Aggregation Operators: Three Decades Review from 1986 to 2017," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 391-466, March.
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    Cited by:

    1. Tavana, Madjid & Khalili Nasr, Arash & Mina, Hassan & Michnik, Jerzy, 2022. "A private sustainable partner selection model for green public-private partnerships and regional economic development," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    2. Wang, Qun & Jia, Guozhu & Song, Wenyan, 2022. "Identifying critical factors in systems with interrelated components: A method considering heterogeneous influence and strength attenuation," European Journal of Operational Research, Elsevier, vol. 303(1), pages 456-470.
    3. Sarfaraz Hashemkhani Zolfani & Alireza Nemati & Pedro J. Reyes-Norambuena & Carlos A. Monardes-Concha, 2022. "A Novel MCDM Approach Based on OPA-WINGS for Policy Making in Undergraduate Elective Courses," Mathematics, MDPI, vol. 10(22), pages 1-19, November.

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