Abstract
We present an extension of a consensus reaching support system presented in our previous works to additionally accommodate a multi-criteria evaluation of options and importance weights of all criteria given by each agent (individual). The multi-criteria setting implies a need for some modification of concepts, tools and techniques proposed in our previous works with a single criterion. To improve the efficiency of the process we use some additional suggestions/hints provided for the moderator in the form of linguistic summaries, modified to the multi-criteria setting. We present an application for a real world problem which involves reaching of a sufficient agreement in the small group of human agents. The results obtained are intuitively appealing, and promising in terms of time and costs of opinion changes to reach a sufficient consensus.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Butle, C.T., Rothstein, A.: On Conflict and Consensus: A Handbook on Formal Consensus Decision Making. Food Not Bombs Publishing, Takoma Park (2006)
Carlsson, C., Fedrizzi, M., Fuller, R.: Group decision support systems. In: Carlsson, C., Fedrizzi, M., Fuller, R. (eds.) Fuzzy Logic in Management, pp. 57–125. Springer Science, Berlin (2004)
Fedrizzi, M., Kacprzyk, J., Zadrożny, S.: An interactive multi-user decision support system for consensus reaching process using fuzzy logic with linguistic quantifiers. Decis. Support Syst. 4(3), 313–327 (1988)
Fedrizzi, M., Fedrizzi, M., Marques Pereira, R.A.: Consensus modelling in group decision making: a dynamical approach based on Zadeh’s fuzzy preferences. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds.) On Fuzziness (Homage to Lotfi A. Zadeh), pp. 165–170. Springer, Heidelberg (2013)
Gołuńska, D., Hołda, M.: The need of fairness in the group consensus reaching process in a fuzzy environment. Tech. Trans. Autom. Control 1–AC, 29–38 (2013)
Gołuńska, D., Kacprzyk, J.: The conceptual framework of fairness in consensus reaching process under fuzziness. In: Proceedings of the 2013 Joint IFSA World Congress NAFIPS Annual Meeting, pp. 1285–1290. Edmonton, Canada, 24–28 June 2013
Gołuńska, D., Kacprzyk, J., Zadrożny, S.: A consensus reaching support system based on concepts of ideal and anti-ideal point. In: Proceedings of the 2014 North American Fuzzy Information Processing Society Conference (NAFIPS 2014), pp. 1–6 (2014)
Gołuńska, D., Kacprzyk, J., Zadrożny, S.: A model of efficiency-oriented group decision and consensus reaching support system in a fuzzy environment. In: Proceedings of the 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU-2014, pp. 424–433 (2014)
Gołuńska, D., Kacprzyk, J., Zadrożny, S.: On efficiency-oriented support of consensus reaching in a group of agents in a fuzzy environment with a cost based preference updating approach. In: Proceedings of SSCI-2014. IEEE Press, Orlando (2014)
Gołuńska, D., Kacprzyk, J., Herrera-Viedma, E.: Modeling different advising attitudes in a consensus focused process of group decision making. In: Filev, D., et al. (ed.) Intelligent Systems’2014, Series: Advances in Intelligent Systems and Computing, vol. 322, pp. 279–288. Springer, Berlin (2015)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets Syst. 88(1), 31–49 (1997)
Herrera-Viedma, E., García-Lapresta, J.L., Kacprzyk, J., Fedrizzi, M., Nurmi, H., Zadrożny, S. (eds.): Studies in fuzziness and soft computing. Consensual Processes. Springer, Berlin (2011)
Herrera-Viedma, E., Cabrerizo, F.J., Kacprzyk, J., Pedrycz, W.: A review of soft consensus models in a fuzzy environment. Inf. Fusion 17, 4–13 (2014)
Kacprzyk, J.: Group decision making with a fuzzy majority via linguistic quantifiers. Part I: a consensory like pooling. Cybern. Syst. Int. J. 16, 119–129. Part II: a competitive like pooling. Cybern. Syst. Int. J. 16, 131–144 (1985)
Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets Syst. 18(2), 105–118 (1986)
Kacprzyk, J., Fedrizzi, M.: ‘Soft’ consensus measures for monitoring real consensus reaching processes under fuzzy preferences. Control Cybern. 15(3–4), 309–323 (1986)
Kacprzyk, J., Fedrizzi, M.: A ‘soft’ measure of consensus in the setting of partial (fuzzy) preferences. Eur. J. Oper. Res. 34, 315–325 (1988)
Kacprzyk, J., Fedrizzi, M.: A ‘human-consistent’ degree of consensus based on fuzzy logic with linguistic quantifiers. Math. Soc. Sci. 18, 275–290 (1989)
Kacprzyk, J., Yager, R.R.: Linguistic summaries of data using fuzzy logic. Int. J. Gen. Syst. 30, 33–154 (2001)
Kacprzyk, J., Zadrożny, S.: On the use of fuzzy majority for supporting consensus reaching under fuzziness. In: Proceedings of FUZZ-IEEE’97 - Sixth IEEE International Conference on Fuzzy Systems (Barcelona, Spain), vol. 3, pp. 1683–1988 (1997)
Kacprzyk, J., Zadrożny, S.: An internet-based group decision and consensus reaching support system. Management 7(28), 4–10 (2003)
Kacprzyk, J., Zadrożny, S.: Supporting consensus reaching in a group via fuzzy linguistic data summaries. In: IFSA’2005 World Congress - Fuzzy Logic, Soft Computing and Computational Intelligence, pp. 1746–1751. Tsinghua University Press/Springer, Beijing (2005)
Kacprzyk, J., Zadrożny, S.: On a concept of a consensus reaching process support system based on the use of soft computing and Web techniques. In: Ruan, D., Montero, J., Lu, J., Martínez, L., D’hondt, P., Kerre, E.E. (eds.) Computational Intelligence in Decision and Control, pp. 859–864. World Scientific, Singapore (2008)
Kacprzyk, J., Zadrożny, S.: Towards a general and unified characterization of individual and collective choice functions under fuzzy and nonfuzzy preferences and majority via the ordered weighted average operators. Int. J. Intell. Syst. 24(1), 4–26 (2009)
Kacprzyk, J., Zadrożny, S.: Soft computing and Web intelligence for supporting consensus reaching. Soft Comput. 14(8), 833–846 (2010)
Kacprzyk, J., Zadrożny, S.: Supporting consensus reaching processes under fuzzy preferences and a fuzzy majority via linguistic summaries. In: Greco, S., Marques Pereira, R.A., Squillante, M., Yager, R.R. (eds.) Preferences and Decisions, vol. 257, pp. 261–279 (2010)
Kacprzyk, J., Zadrożny, S.: Computing with words is an implementable paradigm: fuzzy queries, linguistic data summaries and natural language generation. IEEE Trans. Fuzzy Syst. 18(3), 461–472 (2010)
Kacprzyk, J., Yager, R.R., Zadrożny, S.: A fuzzy logic based approach to linguistic summaries of databases. Int. J. Appl. Math. Comput. Sci. 10, 813–834 (2000)
Kacprzyk, J., Zadrożny, S., Wilbik, A.: Linguistic summarization of some static and dynamic features of consensus reaching. In: Reusch, B. (ed.) Computational Intelligence, Theory and Applications, pp. 19–28. Springer, Berlin (2006)
Kacprzyk, J., Zadrożny, S., Fedrizzi, M., Nurmi, H.: On group decision making, consensus reaching, voting and voting paradoxes under fuzzy preferences and a fuzzy majority: a survey and some perspectives. In: Bustince, H., Herrera, F., Montero, J. (eds.) Fuzzy Sets and Their Extensions: Representations, Aggregation and Models, pp. 263–295. Springer, Berlin (2008)
Kacprzyk, J., Zadrożny, S., Raś, Z.W.: How to support consensus reaching using action rules: a novel approach. Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 18(4), 451–470 (2010)
Loewer, B.: Special issue on consensus. Synthese 62, 1–122
Loewer, B., Laddaga, R.: Destroying the consensus. Synthese 62, 79–96 (1985)
Perez, I.J., Wikström, R., Mezei, J., Carlsson, C., Anaya, K., Herrera-Viedma, E.: Linguistic consensus models based on a fuzzy ontology. Procedia Comput. Sci. 17, 498–505 (2013)
Spillman, B., Spillman, R., Bezdek, J.C.: A fuzzy analysis of consensus in small groups. In: Wang, P.P., Chang, S.K. (eds.) Fuzzy Automata and Decision Processes, pp. 331–356. North-Holland, Amsterdam (1980)
Szmidt, E., Kacprzyk, J.: A consensus-reaching process under intuitionistic fuzzy preference relations. Int. J. Intell. Syst. 18(7), 837–852 (2003)
Turban, E., Aronson, J.E., Liang, T.P.: Decision Support Systems and Intelligent Systems, 6th edn. Prentice Hall, Upper Saddle River (2005)
Van de Walle, B., De Baets, B., Kerre, E.: A plea for the use of Lukasiewicz triplets in fuzzy preference structures. Part 1: general argumentation. Fuzzy Sets Syst. 97, 349–359 (1998)
Yager, R.R.: A new approach to the summarization of data. Inf. Sci. 28, 69–86 (1982)
Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Comput. Math. Appl. 9, 149–184 (1983)
Acknowledgments
This work is partially supported by the Foundation for Polish Science under the “International Ph.D. Projects in Intelligent Computing” financed from the Europe-an Union within the Innovative Economy Operational Programme 2007–2013 and European Regional Development Fund (D. Gołuńska), and partially by the National Science Centre under Grant No. UMO 2012/05/B/ST6/03068 (J. Kacprzyk).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Gołuńska, D., Kacprzyk, J. (2016). A Consensus Reaching Support System for Multi-criteria Decision Making Problems. In: Trė, G., Grzegorzewski, P., Kacprzyk, J., Owsiński, J., Penczek, W., Zadrożny, S. (eds) Challenging Problems and Solutions in Intelligent Systems. Studies in Computational Intelligence, vol 634. Springer, Cham. https://doi.org/10.1007/978-3-319-30165-5_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-30165-5_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-30164-8
Online ISBN: 978-3-319-30165-5
eBook Packages: EngineeringEngineering (R0)