Abstract
Reaching acceptable agreement among decision makers before selecting the suitable alternatives is an important issue in multi-attribute group decision making (MAGDM) process. The aim of this chapter is to present a flexible consensus method in linguistic contexts that adopts a new advice generation scheme by incorporating decision maker’s attitude to achieve agreement at each round of consensus process. Different consensus models for MAGDM problems have been proposed in the literature. However in all of these processes, it is assumed that all the decision makers are equally interested to change their initial opinions. But practically different decision makers may have different levels of confidences in their own opinions and that make their inclinations in changing opinions significantly different to each others’. Moreover, the decision makers who have sufficient agreement levels may not be interested to change their opinions further. This analysis motivates us to develop a new consensus reaching process under linguistic environment wherein decision makers’ opinions will be changed according to the opinion changing indices provided by them and, thus, decision makers’ moral right to modify their opinions will be preserved. Theoretical foundation of the proposed consensus model is laid down and we further implement the consensus algorithm in a linguistic MAGDM problem under dynamic environment. The main contribution of our work is that sovereignty of each decision maker is under consideration in the process of reaching consensus. Finally, a practical example is presented to illustrate the functioning of the proposed method.
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References
Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. Springer, Berlin (2007)
Ben-Arieh, D., Chen, Z.F.: Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations. IEEE Trans. Syst., Man, Cybern., A Syst. Humans 36, 558–568 (2006)
Ben-Arieh, D., Easton, T., Evans, B.: Minimum cost consensus with quadratic cost functions. IEEE Trans. Syst., Man, Cybern. A, Syst., Humans 39, 210–217 (2008)
Bryson, N.: Group decision-making and the analytic hierarchy process: Exploring the consensus-relevant information content. Comput. Oper.Res. 23(1), 27–35 (1996)
Chen, S.M., Lee, L.W.: Autocratic decision making using group recommendations based on the ILLOWA operator and Likelihood Based Comparison Relations. IEEE Trans. Syst., Man, Cybern., A Syst. Humans 42, 115–129 (2012)
Chiclana, F., Mata, F., Martínez, L., Herrera-Viedma, E., Alonso, S.: Integration of a consistency control module with in a consensus decision making model. Int. J. of Uncertain. Fuzziness and Knowl. Based Syst. 16, 35–53 (2008)
Cordón, O., Herrera, F., Zwir, I.: Linguistic modeling by hierarchical systems of linguistic rules. IEEE Trans. Fuzzy Syst. 10, 2–20 (2002)
Degani, R., Bortolan, G.: The problem of linguistic approximation in clinical decision making. Int. J. Approx. Reason. 2, 143–162 (1988)
Delgado, M., Verdegay, J.L., Vila, M.A.: On aggregation operations of linguistic labels. Int. J. Intell. Syst. 8, 351–370 (1993)
Dong, Y.C., Xu, Y.F., Li, H.Y., Feng, B.: The OWA-based consensus operator under linguistic representation models using position indexes. Eur. J. Oper. Res. 203, 455–463 (2010)
Dong, Y.C., Zhang, G.Q., Hong, W.H., Xu, Y.F.: Consensus models for AHP group decision making under row geometric mean prioritization method. Decis. Support Syst. 49, 281–289 (2010)
Dutta, B., Guha, D., Mesiar, R.: A model based on linguistic 2-tuples for dealing with heterogeneous relationship among attributes in multi-expert decision making. IEEE Trans. Fuzzy Syst (2014), doi:10.1109/TFUZZ.2014.2379291
Fu, C., Yang, S.L.: The group consensus based evidential reasoning approach for multiple attributive group decision analysis. Eur. J. Oper. Res. 206, 601–608 (2010)
Guha, D., Chakraborty, D.: Fuzzy multi attribute group decision making method to achieve consensus under the consideration of degrees of confidence of experts’ opinions. Comput. Ind. Eng. 60, 493–504 (2011)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A model of consensus in group decision making under linguistic assessments. Fuzzy Sets Syst. 78, 73–87 (1996)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets Syst. 88, 31–49 (1997)
Herrera, F., Martínez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans. Fuzzy Syst. 8, 746–752 (2000)
Herrera, F., Martínez, L.: A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making. IEEE Trans. Syst. Man. Cybern. B. Cybern. 31, 227–343 (2001)
Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Trans. Syst., Man, Cybern., A Syst. Humans 32, 394–402 (2002)
Herrera-Viedma, E., Mata, F., Martnez, L., Chiclana, F.: A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Trans. Fuzzy Syst. 13, 644–658 (2005)
Herrera-Viedma, E., Alonso, S., Chiclana, F., Herrera, F.: A consensus model for group decision making with incomplete fuzzy preference elations. IEEE Trans. Fuzzy Syst. 15, 863–877 (2007)
Herrera-Viedma, E., Cabrerizo, F.J., Kacprzyk, J., Pedrycz, W.: A review of soft consensus models in a fuzzy environment. Inform. Fusion 17, 4–13 (2014)
Kacprzyk, J., Fedrizzi, M.: A soft measure of consensus in the setting of partial (fuzzy) preferences. Eur. J. Oper. Res. 34, 316–325 (1988)
Kacprzyk, J., Fedrizzi, M., Nurmi, H.: Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets Syst 49, 21–31 (1992)
Martínez, L., Herrera, F.: An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges. Inform. Sci. 207, 1–18 (2012)
Mata, F., Martínez, L., Herrera-Viedma, E.: An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context. IEEE Trans. Fuzzy Syst. 17, 279–290 (2009)
Miller, G.A.: The magical number seven, plus or minus two: Some limits on our capacity of processing information. Psychol. Rev. 63, 81–97 (1956)
Palomares, I., Liu, J., Xu, Y., Martínez, L.: Modelling experts’ attitudes in group decision making. Soft Comput. 16(10), 1755–1766 (2012)
Palomares, I., Rodriguez, R.M., Martínez, L.: An attitude-driven web consensus support system for heterogeneous group decision making. Expert Syst. Appl. 40(1), 139–149 (2013)
Palmoraes, I., Estrella, F.J., Martínez, L., Herrera, F.: Consensus under a fuzzy context: Taxonomy, analysis framework AFRYCA and experimental case of study. Inform. Fusion 20, 252–271 (2014)
Rodríguez, R.M., Martínez, L.: An analysis of symbolic linguistic computing models in decision making. Int. J. Gen. Syst. 42, 121–136 (2012)
Su, Z., Chen, M., Xia, G., Wang, L.: An interactive method for dynamic intuitionistic fuzzy multi-attribute group decision making. Expert Syst. Appl. 38, 15286–15295 (2011)
Wei, G., Zhao, X.: Some dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making. Expert Syst. Appl. 39(5), 5881–5886 (2012)
Wibowo, S., Deng, H.: Consensus-based decision support for multicriteria group decision making. Comput. Ind. Eng. 66, 625–633 (2013)
Xu, Z.S., Yager, R.R.: Dynamic intuitionistic fuzzy multi-attribute decision making. Int. J. Approx. Reason. 48, 246–262 (2008)
Xu, Z.S.: On multi-period multi-attribute decision making. Knowledge-Based Systems 21, 164–171 (2008)
Xu, Z.S.: An automatic approach to reaching consensus in multiple attribute group decision making. Comput. Ind. Eng. 56, 1369–1374 (2009)
Xu, Z.S., Cai, X.Q.: Group consensus algorithms based on preference relations. Inform. Sci. 181, 150–162 (2011)
Xu, J., Wu, Z.: A discrete consensus support model for multiple attribute group decision making. Knowl.-Based Syst. 24, 1196–1202 (2011)
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Dutta, B., Guha, D. (2015). Decision Makers’ Opinions Changing Attitude-Driven Consensus Model under Linguistic Environment and Its Application in Dynamic MAGDM Problems. In: Pedrycz, W., Chen, SM. (eds) Granular Computing and Decision-Making. Studies in Big Data, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-16829-6_4
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DOI: https://doi.org/10.1007/978-3-319-16829-6_4
Publisher Name: Springer, Cham
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