Abstract
A visual consensus feedback mechanism for group decision making (GDM) problems with complementary linguistic preference relations is presented. Linguistic preferences are modelled using triangular fuzzy membership functions, and the concepts of similarity degree (SD) between two experts as well as the proximity degree (PD) between an expert and the rest of experts in the group are defined and used to measure the consensus level (CL). A feedback mechanism is proposed to identify experts, alternatives and corresponding preference values that contribute less to consensus. The novelty of this feedback mechanism is that it provides experts with visual representations of their consensus status to easily ‘see’ their consensus position within the group as well as to identify the alternatives and preference values that should be reconsidered for changing in the subsequent consensus round. The feedback mechanism also includes individualised recommendations to those identified experts on changing their identified preference values and visual graphical simulation of future consensus status if the recommended values were to be implemented.
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References
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences 8, 199–249 (1975)
Herrera, F., Alonso, S., Chiclana, F., Herrera-Viedma, E.: Computing with words in decision making: foundations, trends and prospects. Fuzzy Optimization and Decision Making 8(4), 337–364 (2009)
Chiclana, F., Herrera-Viedma, E., Alonso, S., Herrera, F.: Cardinal consistency of reciprocal preference relations: a characterization of multiplicative transitivity. IEEE Transactions on Fuzzy Systems 17(1), 14–23 (2009)
Pérez-Asurmendi, P., Chiclana, F.: Linguistic majorities with difference in support. Applied Soft Computing 18, 196–208 (2014)
Zhou, S.-M., Chiclana, F., John, R., Garibaldi, J.M.: Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers. Fuzzy Sets and Systems 159(24), 3281–3296 (2008)
Zhou, S.-M., Chiclana, F., John, R., Garibaldi, J.M.: Alpha-level aggregation: a practical approach to type-1 OWA operation for aggregating uncertain information with applications to breast cancer treatments. IEEE Transactions on Knowledge and Data Engineering 23(10), 1455–1468 (2011)
Chiclana, F., Zhou, S.-M.: Type-reduction of general type-2 fuzzy sets: the type-1 OWA approach. International Journal of Intelligent Systems 28(5), 505–522 (2013)
Xia, M.M., Xu, Z.S.: Methods for fuzzy complementary preference relations based on multiplicative consistency. Computers and Industrial Engineering 61, 930–935 (2011)
Xu, Z.S., Cai, X.Q.: Group consensus algorithms based on preference relations. Information Science 181, 150–162 (2011)
Alonso, S., Herrera-Viedma, E., Chiclana, F., Herrera, F.: A web based consensus support system for group decision making problems and incomplete preferences. Information Sciences 180, 4477–4495 (2010)
Eklund, P., Rusinowska, A., de Swart, H., Dong, Y.C., Xu, Y.F., Li, H., Feng, B.: A consensus model of political decision-making. Annals of Operations Research 158, 5–20 (2008)
Chiclana, F., Tapia-Garcia, J.M., del Moral, M.J., Herrera-Viedma, E.: A statistical comparative study of different similarity measures of consensus in group decision making. Information Sciences 221, 110–123 (2013)
Alonso, S., Pérez, I.J., Cabrerizo, F.J., Herrera-Viedma, E.: A linguistic consensus model for Web 2.0 communities. Applied Soft Computing 13(1), 149–157 (2013)
Wu, J., Chiclana, F.: A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations. Knowledge-Based Systems 59, 97–107 (2014)
Laarhoven, P.J.M., Pedrycz, W.: A fuzzy extension of Saaty’s priority theory. Fuzzy Sets and Systems 11, 229–241 (1983)
Zwick, R., Carlstein, E., Budescu, D.V.: Measures of similarity among fuzzy concepts: A comparative analysis. International Journal of Approximate Reasoning 1, 221–242 (1987)
Chiclana, F., Herrera-Viedma, E., Herrera, F., Alonso, S.: Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations. European Journal of Operational Research 182, 383–399 (2007)
Mata, F., Perez, L.G., Zhou, S.-M., Chiclana, F.: Type-1 OWA methodology to consensus reaching processes in multi-granular linguistic contexts. Knowledge-Based Systems 58, 11–22 (2014)
Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 32, 394–402 (2002)
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Chiclana, F., Wu, J., Herrera-Viedma, E. (2014). Visual Consensus Feedback Mechanism for Group Decision Making with Complementary Linguistic Preference Relations. In: Torra, V., Narukawa, Y., Endo, Y. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2014. Lecture Notes in Computer Science(), vol 8825. Springer, Cham. https://doi.org/10.1007/978-3-319-12054-6_7
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DOI: https://doi.org/10.1007/978-3-319-12054-6_7
Publisher Name: Springer, Cham
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