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Hybrid MCDM Based on VIKOR and Cross Entropy under Rough Neutrosophic Set Theory

Author

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  • Katarina Rogulj

    (Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, 21000 Split, Croatia)

  • Jelena Kilić Pamuković

    (Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, 21000 Split, Croatia)

  • Majda Ivić

    (Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, 21000 Split, Croatia)

Abstract

Problems in real life usually involve uncertain, inconsistent and incomplete information. An example of such problems is strategic decision making with respect to remediation planning of historic pedestrian bridges. The multiple decision makers and experts, as well as the various mutually conflicting criteria, unknown criteria weights, and vagueness and duality in final decisions, provide motivation to develop a methodology that is able to resist the challenges implicit in this problem. Therefore, the aim of this research was to propose an algorithm based on the theory of rough neutrosophic sets in order to solve the problem of strategic planning with respect to the remediation of historic pedestrian bridges. A new multicriteria decision-making model is developed that is a fusion of rough set and neutrosophic set theory. A new cross entropy is proposed under a rough neutrosophic environment that does not possess the shortcomings of asymmetrical character and unknown occurrences. Additionally, a weighted rough neutrosophic symmetric cross entropy is proposed. Furthermore, a rough neutrosophic VIKOR method is introduced, with which the values of the utility measure, regret measure and VIKOR index are obtained. These values, as well as the weighted rough neutrosophic symmetric cross entropy measure, are used to provide a ranking of historic pedestrian bridges favorable to remediation. Finally, an illustrative example of the strategic planning of remediation for historic pedestrian bridges is solved and compared to other research, demonstrating the robustness, feasibility and efficacy of the model when dealing with complex multicriteria decision-making processes.

Suggested Citation

  • Katarina Rogulj & Jelena Kilić Pamuković & Majda Ivić, 2021. "Hybrid MCDM Based on VIKOR and Cross Entropy under Rough Neutrosophic Set Theory," Mathematics, MDPI, vol. 9(12), pages 1-27, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1334-:d:571808
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    References listed on IDEAS

    as
    1. Gupta, Himanshu, 2018. "Evaluating service quality of airline industry using hybrid best worst method and VIKOR," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 35-47.
    2. Abbas Mardani & Edmundas Kazimieras Zavadskas & Kannan Govindan & Aslan Amat Senin & Ahmad Jusoh, 2016. "VIKOR Technique: A Systematic Review of the State of the Art Literature on Methodologies and Applications," Sustainability, MDPI, vol. 8(1), pages 1-38, January.
    3. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2007. "Extended VIKOR method in comparison with outranking methods," European Journal of Operational Research, Elsevier, vol. 178(2), pages 514-529, April.
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