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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. 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. 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.
    3. 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.

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