Abstract
This paper presents an interactive Decision Support System for solving multicriteria group decision-making (MCGDM) problems, based on partial information obtained from the decision makers (DMs). The decision support tool was built based on the concept of flexible elicitation of the FITradeoff method, with graphical visualization features and a user-friendly interface. The decision model is based on searching for dominance relations between alternatives, according to the preferential information obtained from the decision-makers from tradeoff questions. A partial (or complete) ranking of the alternatives is built based on these dominance relations, which are obtained from linear programming models. The system shows, at each interaction, an overview of the process, with the partial results for all decision-makers. The visualization of the individual rankings by all DMs can help them to achieve an agreement during the process, since they will be able to see how their preferred alternatives are in the ranking of the other DMs. The applicability of the system is illustrated here with a problem for selecting a package to improve safety of oil tankers.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Ahn, B.S., Park, K.S.: Comparing methods for multiattribute decision making with ordinal weights. Comput. Oper. Res. 35, 1660–1670 (2008). https://doi.org/10.1016/j.cor.2006.09.026
Athanassopoulos, A.D., Podinovski, V.V.: Dominance and potential optimality in multiple criteria decision analysis with imprecise information. J. Oper. Res. Soc. 48, 142–150 (1997). https://doi.org/10.1057/palgrave.jors.2600345
Belton, V., Stewart, T.: Multiple Criteria Decision Analysis: An Integrated Approach. Springer, Heidelberg (2002). https://doi.org/10.1007/978-1-4615-1495-4
Danielson, M., Ekenberg, L.: A robustness study of state-of-the-art surrogate weights for MCDM. Group Decis. Negot. 26, 677–691 (2017). https://doi.org/10.1007/s10726-016-9494-6
Danielson, M., Ekenberg, L., Larsson, A., Riabacke, M.: Weighting under ambiguous preferences and imprecise differences in a cardinal rank ordering process. Int. J. Comput. Intell. Syst. 7, 105–112 (2014). https://doi.org/10.1080/18756891.2014.853954
de Almeida, A.T., Cavalcante, C.A.V., Alencar, M.H., Ferreira, R.J.P., Almeida-Filho, A.T., Garcez, T.V.: Multicriteria and multiobjective models for risk, reliability and maintenance decision analysis. International Series in Operations Research & Management Science, vol. 231. Springer, New York (2015). https://doi.org/10.1007/978-3-319-17969-8
de Almeida, A.T., de Almeida, J.A., Costa, A.P.C.S., de Almeida-Filho, A.T.: A new method for elicitation of criteria weights in additive models: flexible and interactive tradeoff. Eur. J. Oper. Res. 250, 179–191 (2016). https://doi.org/10.1016/j.ejor.2015.08.058
de Almeida, A.T., Wachowicz, T.: Preference analysis and decision support in negotiations and group decisions. Group Decis. Negot. 26, 649–652 (2017). https://doi.org/10.1007/s10726-017-9538-6
Dias, L.C., Clı́maco, J.N.: Dealing with imprecise information in group multicriteria decisions: a methodology and a GDSS architecture. Eur. J. Oper. Res. 160, 291–307 (2005). https://doi.org/10.1016/j.ejor.2003.09.002
Dias, L.C., Clímaco, J.N.: Additive aggregation with variable interdependent parameters: the VIP analysis software. J. Oper. Res. Soc. 51, 1070–1082 (2000). https://doi.org/10.1057/palgrave.jors.2601012
Edwards, W., Barron, F.H.: SMARTS and SMARTER: improved simple methods for multiattribute utility measurement. Organ. Behav. Hum. Decis. Process. 60, 306–325 (1994). https://doi.org/10.1006/obhd.1994.1087
Frej, E.A., de Almeida, A.T., Cabral, A.P.C.S.: Using data visualization for ranking alternatives with partial information and interactive tradeoff elicitation. Oper. Res. (2019). https://doi.org/10.1007/s12351-018-00444-2
Keeney, R.L., Raiffa, H.: Decision Analysis with Multiple Conflicting Objectives. Wiley, New York (1976)
Kirkwood, C.W., Corner, J.L.: The effectiveness of partial information about attribute weights for ranking alternatives in multiattribute decision making. Organ. Behav. Hum. Decis. Process. 54, 456–476 (1993). https://doi.org/10.1006/obhd.1993.1019
Kirkwood, C.W., Sarin, R.K.: Ranking with partial information: a method and an application. Oper. Res. 33, 38–48 (1985). https://doi.org/10.1287/opre.33.1.38
Malakooti, B.: Ranking and screening multiple criteria alternatives with partial information and use of ordinal and cardinal strength of preferences. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 30, 355–368 (2000). https://doi.org/10.1109/3468.844359
Mármol, A.M., Puerto, J., Fernández, F.R.: Sequential incorporation of imprecise information in multiple criteria decision processes. Eur. J. Oper. Res. 137, 123–133 (2002). https://doi.org/10.1016/s0377-2217(01)00082-0
Montiel, L.V., Bickel, J.E.: A generalized sampling approach for multilinear utility functions given partial preference information. Decis. Anal. 11, 147–170 (2004). https://doi.org/10.1287/deca.2014.0296
Mustajoki, J., Hämäläinen, R.P., Salo, A.: Decision support by interval SMART/SWING - incorporating imprecision in the SMART and SWING methods. Decis. Sci. 36, 317–339 (2005). https://doi.org/10.1111/j.1540-5414.2005.00075.x
Park, K.S.: Mathematical programming models for characterizing dominance and potential optimality when multicriteria alternative values and weights are simultaneously incomplete. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 34, 601–614 (2004). https://doi.org/10.1109/tsmca.2004.832828
Park, K.S., Kim, S.H.: Tools for interactive multiattribute decision-making with incompletely identified information. Eur. J. Oper. Res. 98, 111–123 (1997). https://doi.org/10.1016/0377-2217(95)00121-2
Salo, A.A., Hämäläinen, R.P.: Preference assessment by imprecise ratio statements. Oper. Res. 40, 1053–1061 (1992). https://doi.org/10.1287/opre.40.6.1053
Salo, A.A., Hämälainen, R.P.: Preference ratios in multiattribute evaluation (PRIME)-elicitation and decision procedures under incomplete information. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 31, 533–545 (2001). https://doi.org/10.1109/3468.983411
Salo, A.A., Punkka, A.: Rank inclusion in criteria hierarchies. Eur. J. Oper. Res. 163, 338–356 (2005). https://doi.org/10.1016/j.ejor.2003.10.014
Sarabando, P., Dias, L.C.: Simple procedures of choice in multicriteria problems without precise information about the alternatives’ values. Comput. Oper. Res. 37, 2239–2247 (2010). https://doi.org/10.1016/j.cor.2010.03.014
Sarabando, P., Dias, L.C.: Multiattribute choice with ordinal information: a comparison of different decision rules. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 39, 545–554 (2009). https://doi.org/10.1109/tsmca.2009.2014555
Stillwell, W.G., Seaver, D.A., Edwards, W.: A comparison of weight approximation techniques in multiattribute utility decision making. Organ. Behav. Hum. Perform. 28, 62–77 (1981). https://doi.org/10.1016/0030-5073(81)90015-5
Ulvila, J.W., Snider, W.D.: Negotiation of international oil tanker standards: an application of multiattribute value theory. Oper. Res. 28, 81–96 (1980). https://doi.org/10.1287/opre.28.1.81
Weber, M.: Decision making with incomplete information. Eur. J. Oper. Res. 28, 44–57 (1987). https://doi.org/10.1016/0377-2217(87)90168-8
Roselli, L.R.P., de Almeida, A.T., Frej, E.A.: Decision neuroscience for improving data visualization of decision support in the FITradeoff method. Oper. Res. (2019). https://doi.org/10.1007/s12351-018-00445-1
Roselli, L.R.P., Frej, E.A., de Almeida, A.T.: Neuroscience experiment for graphical visualization in the FITradeoff Decision Support System. In: Chen, Y., Kersten, G., Vetschera, R., Xu, H. (eds.) GDN 2018. LNBIP, vol. 315, pp. 56–69. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-92874-6_5
Acknowledgments
The authors are most grateful for CNPq and CAPES, for the financial support provided.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Frej, E.A., de Almeida, A.T., Roselli, L.R.P. (2019). Solving Multicriteria Group Decision-Making (MCGDM) Problems Based on Ranking with Partial Information. In: Morais, D., Carreras, A., de Almeida, A., Vetschera, R. (eds) Group Decision and Negotiation: Behavior, Models, and Support. GDN 2019. Lecture Notes in Business Information Processing, vol 351. Springer, Cham. https://doi.org/10.1007/978-3-030-21711-2_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-21711-2_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-21710-5
Online ISBN: 978-3-030-21711-2
eBook Packages: Computer ScienceComputer Science (R0)