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An interactive sorting approach based on the assignment examples of multiple decision makers with different priorities

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Abstract

Although group decision-making is often adopted by many organizations in today’s highly complicated business environment, the multiple criteria sorting (MCS) problem in the context of group decision-making has not been studied sufficiently. To this end, we propose a new interactive method to assist a group of decision makers (DMs) with different priorities. With the goal of relieving the cognitive effort exerted by DMs, this method uses the assignment examples provided by the DMs to draw the parameters for the group preference model. In the iterative MCS process that we employ, the DMs are supported from two perspectives. When the assignment examples provided by the DMs are inconsistent, a RINCON algorithm is developed to identify all the possible solutions that the DMs can use to resolve the conflicts. When the examples are consistent, the potential and the fittest assignments of each alternative are deduced using linear programming techniques. These are then presented to the DMs to help them provide more information for the decision-making process. Furthermore, the priority of each DM is objectively and subjectively evaluated, and then progressively updated to reflect the decision-making performance of a DM at each iteration. Meanwhile, the priorities are integrated into the linear programming model to deduce the fittest assignment, as well as into the RINCON algorithm. Hence, the assignment examples of the DMs with higher priorities are emphasized in the fittest assignment, and are less likely to be revised for inconsistency. A practical example featuring MBA programs is also presented to demonstrate the proposed method.

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References

  • Almeida-Dias, J., Figueira, J. R., & Roy, B. (2010). ELECTRE TRI-C: a multiple criteria sorting method based on central reference actions. European Journal of Operational Research, 204, 565–580.

    Article  Google Scholar 

  • Araz, C., & Ozkarahan, I. (2007). Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure. International Journal of Production Economics, 106, 585–606.

    Article  Google Scholar 

  • Baucells, M., & Sarin, R. K. (2003). Group decisions with multiple criteria. Management Science, 49, 1105–1118.

    Article  Google Scholar 

  • Behzadian, M., Kazemzadeh, R. B., Albadvi, A., & Aghdasi, M. (2010). PROMETHEE: a comprehensive literature review on methodologies and applications. European Journal of Operational Research, 200, 198–215.

    Article  Google Scholar 

  • Bregar, A., Györkös, J., & Jurič, M. B. (2008). Interactive aggregation/disaggregation dichotomic sorting procedure for group decision analysis based on the threshold model. Informatica, 19, 161–190.

    Google Scholar 

  • Cabrerizo, F. J., Alonso, S., & Herrera-Viedma, E. (2009). A consensus model for group decision making problems with unbalanced fuzzy linguistic information. International Journal of Information Technology & Decision Making, 8, 109–131.

    Article  Google Scholar 

  • Chen, Y., Hipel, K. W., & Kilgour, D. M. (2007). Multiple-criteria sorting using case-based distance models with an application in water resources management. IEEE Transactions on Systems, Man and Cybernetics Part A Systems and Humans, 37, 680–691.

    Article  Google Scholar 

  • Chen, Y., Li, K. W., Kilgour, D. M., & Hipel, K. W. (2008). A case-based distance model for multiple criteria ABC analysis. Computers & Operations Research, 35, 776–796.

    Article  Google Scholar 

  • Damart, S., Dias, L. C., & Mousseau, V. (2007). Supporting groups in sorting decisions, methodology and use of a multi-criteria aggregation/disaggregation DSS. Decision Support Systems, 43, 1464–1475.

    Article  Google Scholar 

  • Dembczyński, K., Greco, S., & Slowinski, R. (2009). Rough set approach to multiple criteria classification with imprecise evaluation and assignments. European Journal of Operational Research, 198, 626–636.

    Article  Google Scholar 

  • Dias, L., Mousseau, V., & Figueira, J. (2002). An aggregation/disaggregation approach to obtain robust conclusion with ELECTRE TRI. European Journal of Operational Research, 138, 332–348.

    Article  Google Scholar 

  • Dias, L. C., & Clímaco, J. N. (2000). ELECTRE TRI for groups with imprecise information on parameter values. Group Decision and Negotiation, 9, 355–377.

    Article  Google Scholar 

  • Doumpos, M., & Zopounidis, C. (2004). A multicriteria classification approach based on pairwise comparisons. European Journal of Operational Research, 158, 378–389.

    Article  Google Scholar 

  • Doumpos, M., & Zopounidis, C. (2007). Model combination for credit risk assessment: a stacked generalization approach. Annals of Operation Research, 151, 289–306.

    Article  Google Scholar 

  • Doumpos, M., Zanakis, S., & Zopounidis, C. (2001). Multicriteria preference disaggregation for classification problems with an application to global investing risk. Decision Sciences, 32, 333–385.

    Article  Google Scholar 

  • Fernandez, E., Navarro, J., & Bernal, S. (2009). Multicriteria sorting using a valued indifference relation under a preference disaggregation paradigm. European Journal of Operational Research, 198, 602–609.

    Article  Google Scholar 

  • Figueira, J., & Roy, B. (2002). Determining the weights of criteria in the ELECTRE type methods with a revised Simos’ procedure. European Journal of Operational Research, 139, 317–326.

    Article  Google Scholar 

  • González-Pachón, J., & Romero, C. (2007). Inferring consensus weights from pairwise comparison matrices without suitable properties. Annals of Operation Research, 154, 123–132.

    Article  Google Scholar 

  • Greco, S., Matarazzo, B., & Słowiński, R. (2001). Rough sets theory for multi-criteria decision analysis. European Journal of Operational Research, 129, 1–47.

    Article  Google Scholar 

  • Greco, S., Matarazzo, B., & Słowiński, R. (2002). Rough sets methodology for sorting problems in presence of multiple attributes and criteria. European Journal of Operational Research, 138, 247–259.

    Article  Google Scholar 

  • Greco, S., Mousseau, V., & Słowiński, R. (2009). In Lecture notes in computer science: Vol. 5783. The possible and the necessary for multiple criteria group decision (pp. 203–214). Berlin: Springer.

    Google Scholar 

  • Greco, S., Matarazzo, B., & Słowiński, R. (2010). Dominance-based rough set approach to decision under uncertainty and time preference. Annals of Operation Research, 176, 41–75.

    Article  Google Scholar 

  • Jabeur, K., & Martel, J.-M. (2004). A distance-based collective preorder integrating the relative importance of the group’s members. Group Decision and Negotiation, 13, 327–349.

    Article  Google Scholar 

  • Jabeur, K., & Martel, J.-M. (2007). An ordinal sorting method for group decision-making. European Journal of Operational Research, 180, 1272–1289.

    Article  Google Scholar 

  • Kim, S. H., Cho, S. H., & Kim, J. K. (1999). An interactive procedure for multiple attribute group decision making with incomplete information, range-based approach. European Journal of Operational Research, 118, 139–152.

    Article  Google Scholar 

  • Köksalan, M., & Özpeynirci, S. B. (2009). An interactive sorting method for additive utility functions. Computers & Operations Research, 36, 2565–2572.

    Article  Google Scholar 

  • Köksalan, M., & Ulu, C. (2003). An interactive approach for placing alternatives in preference classes. European Journal of Operational Research, 144, 429–439.

    Article  Google Scholar 

  • Köksalan, M., Mousseau, V., Özpeynirci, Ö., & Özpeynirci, S. B. (2009). A new outranking-based approach for assigning alternatives to ordered classes. Naval Research Logistics, 56, 74–85.

    Article  Google Scholar 

  • Li, Y., Liao, X., & Zhao, W. (2009). A rough set approach to knowledge discovery in analyzing competitive advantages of firms. Annals of Operation Research, 168, 205–223.

    Article  Google Scholar 

  • Liao, X., Li, Y., & Lu, B. (2007). A model for selecting an ERP system based on linguistic information processing. Information Systems, 32, 1005–1017.

    Article  Google Scholar 

  • Lin, C.-T., Lee, C., & Wu, C.-S. (2010). Fuzzy group decision making in pursuit of a competitive marketing strategy. International Journal of Information Technology & Decision Making, 9, 281–300.

    Article  Google Scholar 

  • Matsatsinis, N. F., Grigoroudis, E., & Samaras, A. (2005). Aggregation and disaggregation of preferences for collective decision-making. Group Decision and Negotiation, 14, 217–232.

    Article  Google Scholar 

  • Mota, C. M. M., & Almeida, A. T. (2011). A multicriteria decision model for assigning priority classes to activities in project management. Annals of Operation Research. doi:10.1007/s10479-011-0853-z.

    Google Scholar 

  • Mousseau, V., & Dias, L. (2004). Valued outranking relations in ELECTRE providing manageable disaggregation procedure. European Journal of Operational Research, 156, 467–482.

    Article  Google Scholar 

  • Mousseau, V., & Słowiński, R. (1998). Inferring an ELECTRE TRI model from assignment examples. Journal of Global Optimization, 12, 157–174.

    Article  Google Scholar 

  • Mousseau, V., Figueira, J., & Dias, L. (2003). Resolving inconsistencies among constraints on the parameters of an MCDA model. European Journal of Operational Research, 147, 72–93.

    Article  Google Scholar 

  • Mousseau, V., Dias, L. C., & Figueira, J. (2006). Dealing with inconsistent judgments in multiple criteria sorting models. 4OR: A Quarterly Journal of Operations Research, 4, 145–158.

    Article  Google Scholar 

  • Nemery, Ph., & Lamboray, C. (2008). FlowSort, a flow-based sorting method with limiting and central profiles. Top, 16, 90–113.

    Article  Google Scholar 

  • Neves, L. P., Martins, A. G., Antunes, C. H., & Dias, L. C. (2008). A multi-criteria decision approach to sorting actions for promoting energy efficiency. Energy Policy, 36, 2351–2363.

    Article  Google Scholar 

  • Ngo The, A., & Mousseau, V. (2002). Using assignment examples to infer category limits for the ELECTRE TRI method. Journal of Multi-Criteria Decision Analysis, 11, 29–43.

    Article  Google Scholar 

  • Perny, P. (1998). Multicriteria filtering methods based on concordance/non- discordance principles. Annals of Operation Research, 80, 137–167.

    Article  Google Scholar 

  • Ramanathan, R., & Ganesh, L. S. (1994). Group preference aggregation methods employed in AHP: an evaluation and an intrinsic process for deriving members’ weightages. European Journal of Operational Research, 79, 249–265.

    Article  Google Scholar 

  • Rao, C., & Peng, J. (2009). Fuzzy group decision making model based on credibility theory and gray relative degree. International Journal of Information Technology & Decision Making, 8, 515–527.

    Article  Google Scholar 

  • Rocha, C., & Dias, L. (2008). An algorithm for ordinal sorting based on ELECTRE with categories defined by examples. Journal of Global Optimization, 42, 255–277.

    Article  Google Scholar 

  • Shi, Y., Peng, Y., Kou, G., & Chen, Z. X. (2005). Classifying credit card accounts for business intelligence and decision making: a multiple-criteria quadratic programming approach. International Journal of Information Technology & Decision Making, 4, 581–599.

    Article  Google Scholar 

  • Tavana, M., Sodenkamp, M., & Suhl, L. (2010). A soft multi-criteria decision analysis model with application to the European Union enlargement. Annals of Operation Research, 181, 393–421.

    Article  Google Scholar 

  • Tzeng, G. H., & Huang, C. Y. (2011). Combined DEMATEL technique with hybrid MCDM methods for creating the aspired intelligent global manufacturing & logistics systems. Annals of Operation Research. doi:10.1007/s10479-010-0829-4.

    Google Scholar 

  • Vetschera, R., Chen, Y., Keith, W., & Kilgour, D. M. (2010). Robustness and information levels in case-based multiple criteria sorting. European Journal of Operational Research, 202, 841–852.

    Article  Google Scholar 

  • Xu, Z. S. (2005). An approach to group decision making based on incomplete linguistic preference relations. International Journal of Information Technology & Decision Making, 4, 153–160.

    Article  Google Scholar 

  • Yeh, C. H., & Chang, Y. H. (2009). Modeling subjective evaluation for fuzzy group multicriteria decision making. European Journal of Operational Research, 194, 464–473.

    Article  Google Scholar 

  • Zahir, S. (2006). Eliciting ratio preferences for the analytic hierarchy process with visual interfaces: a new model of preference measurement. International Journal of Information Technology & Decision Making, 5, 245–261.

    Article  Google Scholar 

  • Zopounidis, C., & Doumpos, M. (2002). Multicriteria classification and sorting methods: a literature review. European Journal of Operational Research, 138, 229–246.

    Article  Google Scholar 

  • Zopounidis, C., Doumpos, M., & Zanakis, S. (1999). Stock evaluation using a preference disaggregation methodology. Decision Sciences, 30, 313–333.

    Article  Google Scholar 

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Authors and Affiliations

  1. The School of Management, The Key Lab of the Ministry of Education for Process Control and Efficiency Engineering, Xi’an Jiaotong University, Xi’an, 710049, P.R. China

    Fu-Ling Cai & Xiuwu Liao

  2. Management School, Renmin University of China, Beijing, 100872, P.R. China

    Kan-Liang Wang

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  1. Fu-Ling Cai
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  2. Xiuwu Liao
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  3. Kan-Liang Wang
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Correspondence to Xiuwu Liao.

Additional information

The research is supported by National Natural Science Foundation of China (Grant #71071124 and #70890081).

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Cai, FL., Liao, X. & Wang, KL. An interactive sorting approach based on the assignment examples of multiple decision makers with different priorities. Ann Oper Res 197, 87–108 (2012). https://doi.org/10.1007/s10479-011-0930-3

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