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A Method Based on SMAA-Topsis for Stochastic Multi-Criteria Decision Making and a Real-World Application

Author

Listed:
  • Deniz Okul

    (Department of Operations Research, Defence Science Institute, Turkish Military Academy, Bakanlıklar/Ankara, 06120, Turkey)

  • Cevriye Gencer

    (Department of Industrial Engineering, Faculty of Engineering, Gazi University, Maltepe/Ankara, 06570, Turkey)

  • Emel Kizilkaya Aydogan

    (Department of Industrial Engineering, Faculty of Engineering, Erciyes University, Melikgazi/Kayseri, 38039, Turkey)

Abstract

Stochastic multi-criteria acceptability analysis (SMAA-2) and the technique for order preference by similarity to ideal solution (TOPSIS) are methods for evaluating alternatives with multiple criteria. SMAA is a method that is used for solving multi-criteria decision-making problems with uncertain, inaccurate information, and does not require preference information from the decision makers. The TOPSIS method is based on the principle of determining a solution with the shortest distance to the ideal solution and the greatest distance from the negative-ideal solution. This paper proposes a new method, SMAA-TOPSIS, by combining the SMAA and TOPSIS methods. The SMAA-TOPSIS method was executed for two problems: drug benefit-risk analysis and machine gun selection. This paper found that TOPSIS could be used with uncertain and arbitrarily distributed values for weights and criteria measurements by using a combination of SMAA and TOPSIS. Also, we obtained clearer and consistent SMAA outputs.

Suggested Citation

  • Deniz Okul & Cevriye Gencer & Emel Kizilkaya Aydogan, 2014. "A Method Based on SMAA-Topsis for Stochastic Multi-Criteria Decision Making and a Real-World Application," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 13(05), pages 957-978.
    • Handle: RePEc:wsi:ijitdm:v:13:y:2014:i:05:n:s0219622014500175
    DOI: 10.1142/S0219622014500175
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    References listed on IDEAS

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    1. repec:dgr:rugsom:10001 is not listed on IDEAS
    2. 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, September.
    3. Hillege, H.L. & Buskens, E. & Postmus, D. & Tervonen, T., 2010. "A state-of-the-art multi-criteria model for drug benefit-risk analysis," Research Report 10001, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
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    Cited by:

    1. R. Pelissari & M. C. Oliveira & S. Ben Amor & A. Kandakoglu & A. L. Helleno, 2020. "SMAA methods and their applications: a literature review and future research directions," Annals of Operations Research, Springer, vol. 293(2), pages 433-493, October.
    2. Goers, Jana & Horton, Graham, 2023. "Combinatorial multi-criteria acceptability analysis: A decision analysis and consensus-building approach for cooperative groups," European Journal of Operational Research, Elsevier, vol. 308(1), pages 243-254.
    3. Su-min Yu & Zhi-jiao Du & Xu-dong Lin & Han-yang Luo & Jian-qiang Wang, 2020. "A Stochastic Dominance-Based Approach for Hotel Selection under Probabilistic Linguistic Environment," Mathematics, MDPI, vol. 8(9), pages 1-25, September.
    4. García-Cáceres, Rafael Guillermo, 2020. "Stochastic Multicriteria Acceptability Analysis – Matching (SMAA-M)," Operations Research Perspectives, Elsevier, vol. 7(C).
    5. Juan-Juan Peng & Jian-Qiang Wang & Xiao-Hui Wu, 2016. "Novel Multi-criteria Decision-making Approaches Based on Hesitant Fuzzy Sets and Prospect Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 621-643, May.
    6. Podinovski, Vladislav V., 2020. "Maximum likelihood solutions for multicriterial choice problems," European Journal of Operational Research, Elsevier, vol. 286(1), pages 299-308.
    7. Marjan S. Jalali & Fernando A. F. Ferreira & João J. M. Ferreira & Ieva Meidutė-Kavaliauskienė, 2016. "Integrating Metacognitive and Psychometric Decision-Making Approaches for Bank Customer Loyalty Measurement," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 815-837, July.
    8. Liu, Liyi & Tu, Yan & Zhou, Xiaoyang, 2022. "How local outbreak of COVID-19 affect the risk of internet public opinion: A Chinese social media case study," Technology in Society, Elsevier, vol. 71(C).
    9. V. L. Morgan & E. S. McLamore & M. Correll & G. A. Kiker, 2021. "Emerging mercury mitigation solutions for artisanal small-scale gold mining communities evaluated through a multicriteria decision analysis approach," Environment Systems and Decisions, Springer, vol. 41(3), pages 413-424, September.
    10. Shouzhen Zeng & Jianping Chen & Xingsen Li, 2016. "A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 403-422, March.

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