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Multiple criteria decision making with reliability of assessment

Author

Listed:
  • Chao Fu

    (Hefei University of Technology
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making and Information System Technologies)

  • Min Xue

    (Hefei University of Technology
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making and Information System Technologies)

  • Wenjun Chang

    (Hefei University of Technology
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making and Information System Technologies)

Abstract

The weight and reliability of an individual assessment are two important concepts considered in the evidential reasoning (ER) approach. Through analyzing the existing studies on the combination of individual assessments with both their weights and reliabilities considered in the ER context, their deficiencies are identified in accordance with two principles. One principle is developed in the situation where a specific individual assessment is fully unreliable and the other is developed in the situation where all individual assessments are fully reliable. To address the deficiencies, this paper proposes a new method. In the method, a combination process that takes into account both the weights and reliabilities of individual assessments simultaneously is developed to generate the overall assessment. It is theoretically proven that the combination process satisfies the two principles. Three ways are designed to help a decision maker to flexibly provide individual assessments and determine their reliabilities. A strategic project evaluation problem for an enterprise located in Changzhou, Jiangsu, China is analyzed using the proposed method as a case study to demonstrate its validity and applicability. These are highlighted by its comparison with two existing methods.

Suggested Citation

  • Chao Fu & Min Xue & Wenjun Chang, 2022. "Multiple criteria decision making with reliability of assessment," Annals of Operations Research, Springer, vol. 312(1), pages 121-157, May.
    • Handle: RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-021-04249-z
    DOI: 10.1007/s10479-021-04249-z
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    1. Lianmeng Jiao & Quan Pan & Yan Liang & Xiaoxue Feng & Feng Yang, 2016. "Combining sources of evidence with reliability and importance for decision making," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(1), pages 87-106, March.
    2. Amelia Bilbao-Terol & Mar Arenas-Parra & Verónica Cañal-Fernández & Celia Bilbao-Terol, 2016. "Multi-criteria decision making for choosing socially responsible investment within a behavioral portfolio theory framework: a new way of investing into a crisis environment," Annals of Operations Research, Springer, vol. 247(2), pages 549-580, December.
    3. Salvatore Corrente & Salvatore Greco & Roman Słowiński, 2017. "Handling imprecise evaluations in multiple criteria decision aiding and robust ordinal regression by n-point intervals," Fuzzy Optimization and Decision Making, Springer, vol. 16(2), pages 127-157, June.
    4. John Butler & Douglas J. Morrice & Peter W. Mullarkey, 2001. "A Multiple Attribute Utility Theory Approach to Ranking and Selection," Management Science, INFORMS, vol. 47(6), pages 800-816, June.
    5. Adil Baykasoğlu & İlker Gölcük & Derya Eren Akyol, 2017. "A fuzzy multiple-attribute decision making model to evaluate new product pricing strategies," Annals of Operations Research, Springer, vol. 251(1), pages 205-242, April.
    6. M. Socorro García-Cascales & M. Teresa Lamata & J. Miguel Sánchez-Lozano, 2012. "Evaluation of photovoltaic cells in a multi-criteria decision making process," Annals of Operations Research, Springer, vol. 199(1), pages 373-391, October.
    7. Dong-Ling Xu, 2012. "An introduction and survey of the evidential reasoning approach for multiple criteria decision analysis," Annals of Operations Research, Springer, vol. 195(1), pages 163-187, May.
    8. Butler, John & Jia, Jianmin & Dyer, James, 1997. "Simulation techniques for the sensitivity analysis of multi-criteria decision models," European Journal of Operational Research, Elsevier, vol. 103(3), pages 531-546, December.
    9. Yang, J.B. & Wang, Y.M. & Xu, D.L. & Chin, K.S., 2006. "The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties," European Journal of Operational Research, Elsevier, vol. 171(1), pages 309-343, May.
    10. Chao Fu & Dong-Ling Xu, 2016. "Determining attribute weights to improve solution reliability and its application to selecting leading industries," Annals of Operations Research, Springer, vol. 245(1), pages 401-426, October.
    11. Guilan Kong & Lili Jiang & Xiaofeng Yin & Tianbing Wang & Dong-Ling Xu & Jian-Bo Yang & Yonghua Hu, 2018. "Combining principal component analysis and the evidential reasoning approach for healthcare quality assessment," Annals of Operations Research, Springer, vol. 271(2), pages 679-699, December.
    12. Chao Fu & Dong-Ling Xu & Shan-Lin Yang, 2016. "Distributed preference relations for multiple attribute decision analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(3), pages 457-473, March.
    13. Liao, Huchang & Wu, Xingli & Mi, Xiaomei & Herrera, Francisco, 2020. "An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted Borda rule," Omega, Elsevier, vol. 93(C).
    14. Thierry Denœux & Marie-Hélène Masson, 2012. "Evidential reasoning in large partially ordered sets," Annals of Operations Research, Springer, vol. 195(1), pages 135-161, May.
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