Abstract
This paper studies three consensus schemes based on fuzzy models for dealing with the input of multiple experts in multicriteria decision making. The consensus schemes are based on different aggregation procedures for constructing a collective decision. In the paper, we propose a methodology that makes use of the three consensus schemes implemented by a coordination mode that creates an efficient manner of exploiting the capabilities of each member of the group in a cooperative work. The applicability and efficiency of the proposed methodology is demonstrated through an application related to strategic planning.
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References
Ackoff RL (1969) A concept of corporate planning. Wiley, New York
Alonso S, Herrera-Viedma E, Cabrerizo FJ, Chiclana F, Herrera F (2007) Visualizing consensus in group decision making situations. In: Proceedings of the 2007 IEEE international conference on fuzzy systems. London, pp 1818–1823
Bernardes P, Ekel P, Kotlarewski J, Parreiras R (2009) Fuzzy set based multicriteria decision making and its applications, in progress on nonlinear analysis. Nova Science Publisher, Hauppauge, pp 247–272
Black JA, Boal KB (1994) Strategic resources: traits, configurations and paths to sustainable competitive advantage. Strateg Manag J 15: 131–148
De Baets P, Fodor JC (1997) Twenty years of fuzzy preference structures. Rivista di Matematica per le Scienze Economiche e Sociali 20: 45–66
Ekel P, Parreiras R (2009) Procedures for group multicriteria decision making using fuzzy preference relation modeling. In: Proceedings of the XLI Brazilian symposium of operational research. Porto Seguro, pp 1789–1800 (in Portuguese)
Ekel P, Pedrycz W, Schinzinger R (1998) A general approach to solving a wide class of fuzzy optimization problems. Fuzzy Sets Syst 97: 49–66
Ekel PYa, Schuffner Neto FH (2006) Algorithms of discrete optimization and their application to problems with fuzzy coefficients. Inf Sci 176: 2846–2868
Ekel PYa, Queiroz J, Parreiras R, Palhares R (2009) Fuzzy set based models and methods of multicriteria group decision making. Nonlinear Anal Theory Methods Appl 71: e409–e419
Fodor JC, Roubens M (1994) Fuzzy preference modelling and multicriteria decision support. Kluwer, Boston
Forman E, Peniwati K (1998) Aggregating individual judgments and priorities with the Analytic Hierarchy Process. Eur J Oper Res 108: 165–169
García-Lapresta JL (2008) Favoring consensus and penalizing disagreement in group decision making. J Adv Comput Intell Intell Inform 12: 416–421
Grabisch M, Orlovski SA, Yager RR (1998) Fuzzy aggregation of numerical preferences in Fuzzy Sets. In: Decision analysis, operations research and statistics, the handbook of fuzzy sets series, vol 4. Kluwer, Boston, pp 31–68
Harrison EF (1995) Strategic planning maturities. Manag Decis J 33: 48–55
Herrera-Viedma E, Herrera F, Chiclana F (2002) A consensus model for multiperson decision making with different preference structures. IEEE Trans Syst Man Cybern Part A Syst Hum 32: 394–402
Herrera-Viedma E, Alonso S, Chiclana F, Herrera F (2007) A consensus model for group decision making with incomplete fuzzy preference relations. IEEE Trans Fuzzy Syst 15: 863–877
Hsu HM, Chen CT (1996) Aggregation of fuzzy opinions under group decision making. Fuzzy Sets Syst 79: 279–285
Kaplan RS, Norton D (1996) The balanced scorecard: translating strategy into action. Harvard Business School, Boston
Kauffman A, Gupta MM (1985) Introduction to fuzzy arithmetic: theory and applications. Van Nostrand Reinhold, New York
Li RJ (1999) Fuzzy method in group decision making. Comput Math Appl 38: 91–101
Lu C, Lan J, Wang Z (2006) Aggregation of fuzzy opinions under group decision-making based on similarity and distance. J Syst Sci Complex 19: 63–71
Lu J, Zhang G, Ruan D, Wu F (2007) Multi-objective group decision making: methods, software and applications with fuzzy set techniques. Imperial College Press, London
Orlovski SA (1978) Decision making with a fuzzy preference relation. Fuzzy Sets Syst 1: 155–167
Orlovsky SA (1981) Problems of decision making with fuzzy information. Nauka, Moscow (in Russian)
Parreiras R, Ekel P, Martini JSC, Palhares RM (2010) A flexible consensus scheme for multicriteria group decision making under linguistic assessments. Inf Sci 180: 1075–1089
Pedrycz W, Gomide F (1998) An introduction to fuzzy sets: analysis and design. MIT Press, Cambridge
Pedrycz W, Ekel P, Parreiras R (2010) Fuzzy multicriteria decision-making: models, methods and applications. Wiley, Chichester
Phillips LD, Phillips MC (1993) Facilitated work groups: theory and practice. J Oper Res Soc 44: 533–549
Steiner GA (1979) Strategic planning. Free Press, New York
Wang Y-M, Fan Z-P (2007) Fuzzy preference relations: aggregation and weight determination. Comput Ind Eng 53: 163–172
Wang Y-M, Parkan C (2008) Optimal aggregation of fuzzy preference relations with an application to broadband internet service selection. Eur J Oper Res 187: 1476–1486
Zimmermann HJ (1990) Fuzzy set theory and its application. Kluwer, Boston
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Parreiras, R.O., Ekel, P.Y. & Morais, D.C. Fuzzy Set Based Consensus Schemes for Multicriteria Group Decision making Applied to Strategic Planning. Group Decis Negot 21, 153–183 (2012). https://doi.org/10.1007/s10726-011-9231-0
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DOI: https://doi.org/10.1007/s10726-011-9231-0