Abstract
Group decision making (GDM) or collective decision-making is a situation faced when individuals collectively make a choice from the alternatives before them.
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References
Baucells, M., Sarin, R.K.: Group decisions with multiple criteria. Manage. Sci. 49, 1105–1118 (2003). https://doi.org/10.1287/mnsc.49.8.1105.16400
Ben-Arieh, D., Easton, T.: Multi-criteria group consensus under linear cost opinion elasticity. Decis. Support Syst. 43, 713–721 (2007). https://doi.org/10.1016/j.dss.2006.11.009
Bezerra, F., Melo, P., Costa, J.P.: Visual and interactive comparative analysis of individual opinions: a group decision support tool. Group Decis. Negot. 23, 101–125 (2014). https://doi.org/10.1007/s10726-012-9330-6
Bryson, N.: Group decision-making and the analytic hierarchy process: exploring the consensus-relevant information content. Comput. Oper. Res. 23, 27–35 (1996). https://doi.org/10.1016/0305-0548(96)00002-H
Chen, S.M.: New methods for subjective mental workload assessment and fuzzy risk analysis. Cybern. Syst. 27, 449–472 (1996). https://doi.org/10.1080/019697296126417
Chen, S.M.: A new approach to handling fuzzy decision-making problems. IEEE Trans. Syst. Man Cybern. 18, 1012–1016 (1988). https://doi.org/10.1109/21.23100
Chen, C.-T.: Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets Syst. 114, 1–9 (2000). https://doi.org/10.1016/S0165-0114(97)00377-1
Chu, T.-C.: Facility location selection using fuzzy TOPSIS under group decision. Int. J. Uncertian., Fuzz. and Knowl.-Based. Syst. 10(6), 687–701 (2002). https://doi.org/10.1142/S0218488502001739
Colson, G.: The OR’s prize winner and the software ARGOS: how a multijudge and multicriteria ranking GDSS helps a jury to attribute a scientific award. Comput. Oper. Res. 27, 741–755 (2000). https://doi.org/10.1016/S0305-0548(99)00116-1
Cook, W.D.: Distance-based and ad hoc consensus models in ordinal preference ranking. Eur. J. Oper. Res. 172, 369–385 (2006). https://doi.org/10.1016/j.ejor.2005.03.048
Dias, L., Clímaco, J.: ELECTRE TRI for groups with imprecise information on parameter values. Group Decis. Negot. 9, 355–377 (2000). https://doi.org/10.1023/A:1008739614981
Dong, Y., Zha, Q., Zhang, H., Kou, G., Fujita, H., Chiclana, F., Herrera-Viedma, E.: Consensus reaching in social network group decision making: research paradigms and challenges. Knowl.-Based Syst. 162, 3–13 (2018). https://doi.org/10.1016/j.knosys.2018.06.036
Forman, E., Peniwati, K.: Aggregating individual judgments and priorities with the analytic hierarchy process. Eur. J. Oper. Res. 108, 165–169 (1998). https://doi.org/10.1016/S0377-2217(97)00244-0
Gryna, F.M.: Quality Planning and Analysis: From Product Development through Use, 4th edn. McGraw-Hill, New York (2000). ISBN: 9780070393684
Hitt, M.A., Miller, C.C., Colella, A.: Organizational Behavior, 4th edn. Wiley, Hoboken, New Jersey (2015). ISBN: 9781118809068
Huang, Y.S., Li, W.H.: A study on aggregation of TOPSIS ideal solutions for group decision-making. Group Decis. Negot. 21, 461–473 (2012). https://doi.org/10.1007/s10726-010-9218-2
Hwang, C.L., Lin, M.J.: Group Decision Making under Multiple Criteria. Springer-Verlag, Berlin (1987). ISBN: 9783540171775
Labella, Á., Liu, Y., Rodríguez, R.M., Martínez, L.: Analyzing the performance of classical consensus models in large scale group decision making: a comparative study. Appl. Soft Comput. 67, 677–690 (2018). https://doi.org/10.1016/j.asoc.2017.05.045
Lee, Y.S., Shih, H.S.: Incremental analysis for generalized TODIM. CEJOR 24, 901–922 (2016). https://doi.org/10.1007/s10100-015-0427-2
Ma, J., Lu, J., Zhang, G.: A three-level-similarity measuring method of participant opinions in multiple-criteria group decision supports. Decis. Support Syst. 59, 74–83 (2014). https://doi.org/10.1016/j.dss.2013.10.007
Madu, C.N.: A quality confidence procedure for GDSS application in multicriteria decision making. IIE Trans. 26, 31–39 (1994). https://doi.org/10.1080/07408179408966605
Macharis, C., Brans, J.P., Mareschal, B.: The GDSS PROMETHEE procedure—A PROMETHEE-GAIA based procedure for group decision support. J. Decis. Syst. 7, 283–307 (1998)
Ngwenyama, O.K., Bryson, N., Mobolurin, A.: Supporting facilitation in group support systems: techniques for analyzing consensus relevant data. Decis. Support Syst. 16, 155–168 (1996). https://doi.org/10.1016/0167-9236(95)00004-6
Parkan, C., Wu, M.L.: Process selection with multiple objective and subjective attributes. Prod. Plann. Contr. 9, 189–200 (1998). https://doi.org/10.1080/095372898234415
Pochampally, K.K., Gupta, S.M.: A business-mapping approach to multi-criteria group selection. IEEE Int. Symp. Electron. Environ. 2004, 321–326 (2004). https://doi.org/10.1109/ISEE.2004.1299724
Robbins, S.P., Judge, T.A. (2019). Organizational Behavior, 18th Edn. Upper Saddle River, New Jersey: Pearson. ISBN: 9780134729329
Rodríguez, R.M., Labella, Á., Tré, G.D., Martínez, L.: A large scale consensus reaching process managing group hesitation. Knowl.-Based Syst. 159, 86–97 (2018). https://doi.org/10.1016/j.knosys.2018.06.009
Shih, H.S.: An incremental analysis for MCDM with an application to group TOPSIS. Eur. J. Oper. Res. 186, 720–734 (2008). https://doi.org/10.1016/j.ejor.2007.02.012
Shih, H.S.: A mixed-data evaluation in group TOPSIS with differentiated decision power. Group Decis. Negot. 25, 537–565 (2016). https://doi.org/10.1007/s10726-015-9451-9
Shih, H.-S.: Treshold-enhanced PROMETHEE group decision support under uncertainties. Mathematical Problems in Engineering (2021). Article ID 5594074: 1-21. https://doi.org/10.1155/2021/5594074.
Shih, H.S., Shyur, H.J., Lee, E.S.: An extension of TOPSIS for group decision making. Math. Comput. Model. 45, 801–813 (2007). https://doi.org/10.1016/j.mcm.2006.03.023
Shih, H.S., Lin, W.Y., Lee, E.S.: Group decision making for TOPSIS. In: Joint 9th IFSA World Congress and 20th NAFIPS International Conference, IFSA/NAFIPS 2001, July 25–28: Vancouver, Canada, pp. 2712–2717 (2001). https://doi.org/10.1109/NAFIPS.2001.943653
Shih, H.S., Wang, C.H., Lee, E.S.: A Multiattribute GDSS for Aiding Problem-solving. Math. Comput. Model. 39, 1397–1412 (2004). https://doi.org/10.1016/j.mcm.2004.06.014
Singh, R.K., Benyoucef, L.: A consensus based group decision making methodology for strategic selection problems of supply chain coordination. Eng. Appl. Artif. Intell. 26, 122–134 (2013). https://doi.org/10.1016/j.engappai.2012.03.013
Szmidt, E., Kacprzyk, J.: A consensus-reaching process under intuitionistic fuzzy preference relations. Int. J. Intell. Syst. 18, 837–852 (2003). https://doi.org/10.1002/int.10119
Tsui, C.W., Tzeng, G.H., Wen, U.P.: A hybrid MCDM approach for improving the performance of green suppliers in the TFT-LCD industry. Int. J. Prod. Res. 53, 6436–6454 (2015). https://doi.org/10.1080/00207543.2014.935829
Zhang, H., Zhao, S., Kou, G., Li, C.C., Dong, Y., Herrera, F.: An overview on feedback mechanisms with minimum adjustment or cost in consensus reaching in group decision making: Research paradigms and challenges. Information Fusion 60, 65–79 (2020). https://doi.org/10.1016/j.inffus.2020.03.001
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Appendix A
Appendix A
Constants for \(\overline{X}\) and R charts
k | A2 | D3 | D4 | d2 |
---|---|---|---|---|
2 | 1.880 | 0 | 3.268 | 1.128 |
3 | 1.023 | 0 | 2.574 | 1.693 |
4 | 0.729 | 0 | 2.282 | 2.059 |
5 | 0.577 | 0 | 2.114 | 2.326 |
6 | 0.483 | 0 | 2.004 | 2.534 |
7 | 0.419 | 0.076 | 1.924 | 2.704 |
8 | 0.373 | 0.136 | 1.864 | 2.847 |
9 | 0.337 | 0.184 | 1.816 | 2.970 |
10 | 0.308 | 0.223 | 1.777 | 3.078 |
Note The table is from Gryna (2000)
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Shih, HS. (2022). Group Aspects of TOPSIS. In: TOPSIS and its Extensions: A Distance-Based MCDM Approach. Studies in Systems, Decision and Control, vol 447. Springer, Cham. https://doi.org/10.1007/978-3-031-09577-1_4
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