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Determining attribute weights to improve solution reliability and its application to selecting leading industries

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  • Chao Fu

    (Hefei University of Technology, Hefei
    Ministry of Education, Hefei)

  • Dong-Ling Xu

    (The University of Manchester)

Abstract

In multiple attribute decision analysis, many methods have been proposed to determine attribute weights. However, solution reliability is rarely considered in those methods. This paper develops an objective method in the context of the evidential reasoning approach to determine attribute weights which achieve high solution reliability. Firstly, the minimal satisfaction indicator of each alternative on each attribute is constructed using the performance data of each alternative. Secondly, the concept of superior intensity of an alternative is introduced and constructed using the minimal satisfaction of each alternative. Thirdly, the concept of solution reliability on each attribute is defined as the ordered weighted averaging (OWA) of the superior intensity of each alternative. Fourthly, to calculate the solution reliability on each attribute, the methods for determining the weights of the OWA operator are developed based on the minimax disparity method. Then, each attribute weight is calculated by letting it be proportional to the solution reliability on that attribute. A problem of selecting leading industries is investigated to demonstrate the applicability and validity of the proposed method. Finally, the proposed method is compared with other four methods using the problem, which demonstrates the high solution reliability of the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:245:y:2016:i:1:d:10.1007_s10479-014-1657-8
    DOI: 10.1007/s10479-014-1657-8
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    1. Horowitz, I. & Zappe, C., 1995. "The linear programming alternative to policy capturing for eliciting criteria weights in the performance appraisal process," Omega, Elsevier, vol. 23(6), pages 667-676, December.
    2. 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.
    3. Shirland, Larry E. & Jesse, Richard R. & Thompson, Ronald L. & Iacovou, Charalambos L., 2003. "Determining attribute weights using mathematical programming," Omega, Elsevier, vol. 31(6), pages 423-437, December.
    4. Dan Horsky & M. R. Rao, 1984. "Estimation of Attribute Weights from Preference Comparisons," Management Science, INFORMS, vol. 30(7), pages 801-822, July.
    5. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834.
    6. Yang, Jian-Bo, 2001. "Rule and utility based evidential reasoning approach for multiattribute decision analysis under uncertainties," European Journal of Operational Research, Elsevier, vol. 131(1), pages 31-61, May.
    7. Takeda, E. & Cogger, K. O. & Yu, P. L., 1987. "Estimating criterion weights using eigenvectors: A comparative study," European Journal of Operational Research, Elsevier, vol. 29(3), pages 360-369, June.
    8. Kocher, Martin G. & Sutter, Matthias, 2006. "Time is money--Time pressure, incentives, and the quality of decision-making," Journal of Economic Behavior & Organization, Elsevier, vol. 61(3), pages 375-392, November.
    9. Wang, Ying-Ming & Yang, Jian-Bo & Xu, Dong-Ling & Chin, Kwai-Sang, 2006. "The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees," European Journal of Operational Research, Elsevier, vol. 175(1), pages 35-66, November.
    10. Bottomley, Paul A. & Doyle, John R., 2001. "A comparison of three weight elicitation methods: good, better, and best," Omega, Elsevier, vol. 29(6), pages 553-560, December.
    11. Wang, Ying-Ming & Chin, Kwai-Sang, 2011. "The use of OWA operator weights for cross-efficiency aggregation," Omega, Elsevier, vol. 39(5), pages 493-503, October.
    12. Williams, Michael L. & Dennis, Alan R. & Stam, Antonie & Aronson, Jay E., 2007. "The impact of DSS use and information load on errors and decision quality," European Journal of Operational Research, Elsevier, vol. 176(1), pages 468-481, January.
    13. Xu, Xiaozhan, 2004. "A note on the subjective and objective integrated approach to determine attribute weights," European Journal of Operational Research, Elsevier, vol. 156(2), pages 530-532, July.
    14. Ananda, Jayanath & Herath, Gamini, 2005. "Evaluating public risk preferences in forest land-use choices using multi-attribute utility theory," Ecological Economics, Elsevier, vol. 55(3), pages 408-419, November.
    15. 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.
    16. James S. Dyer & Jianmin Jia, 1998. "Preference conditions for utility models:A risk-value perspective," Annals of Operations Research, Springer, vol. 80(0), pages 167-182, January.
    17. Caroline Mota & Adiel Almeida, 2012. "A multicriteria decision model for assigning priority classes to activities in project management," Annals of Operations Research, Springer, vol. 199(1), pages 361-372, October.
    18. Kainuma, Yasutaka & Tawara, Nobuhiko, 2006. "A multiple attribute utility theory approach to lean and green supply chain management," International Journal of Production Economics, Elsevier, vol. 101(1), pages 99-108, May.
    19. Peter H. Farquhar, 1984. "State of the Art---Utility Assessment Methods," Management Science, INFORMS, vol. 30(11), pages 1283-1300, November.
    20. B. Ahn & S. Choi, 2012. "Aggregation of ordinal data using ordered weighted averaging operator weights," Annals of Operations Research, Springer, vol. 201(1), pages 1-16, December.
    21. 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.
    22. Guo, Min & Yang, Jian-Bo & Chin, Kwai-Sang & Wang, Hongwei, 2007. "Evidential reasoning based preference programming for multiple attribute decision analysis under uncertainty," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1294-1312, November.
    23. Daniels, Richard L. & Keller, L. Robin, 1992. "Choice-based assessment of utility functions," Organizational Behavior and Human Decision Processes, Elsevier, vol. 52(3), pages 524-543, August.
    24. Ali E. Abbas, 2006. "Maximum Entropy Utility," Operations Research, INFORMS, vol. 54(2), pages 277-290, April.
    25. 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.
    26. Wang, Ying-Ming & Yang, Jian-Bo & Xu, Dong-Ling, 2006. "Environmental impact assessment using the evidential reasoning approach," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1885-1913, November.
    27. Jiamin Wang, 2012. "Robust optimization analysis for multiple attribute decision making problems with imprecise information," Annals of Operations Research, Springer, vol. 197(1), pages 109-122, August.
    28. John C. Hershey & Paul J. H. Schoemaker, 1985. "Probability Versus Certainty Equivalence Methods in Utility Measurement: Are they Equivalent?," Management Science, INFORMS, vol. 31(10), pages 1213-1231, October.
    29. Belaïd Aouni & Cinzia Colapinto & Davide Torre, 2013. "A cardinality constrained stochastic goal programming model with satisfaction functions for venture capital investment decision making," Annals of Operations Research, Springer, vol. 205(1), pages 77-88, May.
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    Cited by:

    1. 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.
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    3. Tim Chen & Hendri Daleanu & Chi-Huey Wong* & J.C.-Y. Chen, 2019. "Mathematical Derives of Evolutionary Algorithms for Multiple Criteria Decision Making," Sumerianz Journal of Scientific Research, Sumerianz Publication, vol. 2(1), pages 5-11, 01-2019.
    4. Chao Sun & Shiying Li & Yong Deng, 2020. "Determining Weights in Multi-Criteria Decision Making Based on Negation of Probability Distribution under Uncertain Environment," Mathematics, MDPI, vol. 8(2), pages 1-15, February.

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