Fuzzy group decision making based on grey relative analysis

In group decision making settings, it is believed that expert preferences should be represented by fuzzy numbers since they are often expressed subjectively, imprecisely and vaguely. This paper proposes to employ the grey relative analysis to deal with the fuzzy group decision making problem. To aggregate individual opinions into an optimal consensus, this approach integrates grey relative analysis in two steps, one for individual integration and the other for group integration. Trapezoidal fuzzy numbers are utilised to deal with the fuzziness of human judgement.

[1]  Desheng Dash Wu,et al.  The method of grey related analysis to multiple attribute decision making problems with interval numbers , 2005, Math. Comput. Model..

[2]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[3]  T. Tanino On Group Decision Making under Fuzzy Preferences , 1990 .

[4]  Drora Karotkin,et al.  The Network of Weighted Majority Rules and Weighted Majority Games , 1998 .

[5]  A. Ishikawa,et al.  The Max-Min Delphi method and fuzzy Delphi method via fuzzy integration , 1993 .

[6]  J. Kacprzyk,et al.  Group decision making and consensus under fuzzy preferences and fuzzy majority , 1992 .

[7]  Improved confidence estimators for the usual one-sided confidence intervals for the ratio of two normal variances , 2002 .

[8]  Zeshui Xu,et al.  A method based on linguistic aggregation operators for group decision making with linguistic preference relations , 2004, Inf. Sci..

[9]  Rogério Cid Bastos,et al.  Applicants' selection applying a fuzzy multicriteria CBR methodology , 2003, J. Intell. Fuzzy Syst..

[10]  Guido Knapp,et al.  On confidence intervals for the among-group variance in the one-way random effects model with unequal error variances , 2005 .

[11]  T. Tanino Fuzzy preference orderings in group decision making , 1984 .

[12]  J. Kacprzyk,et al.  A ‘soft’ measure of consensus in the setting of partial (fuzzy) preferences , 1988 .

[13]  Mohammed E. El-Hawary,et al.  Electric Power Applications of Fuzzy Systems , 1998 .

[14]  Desheng Dash Wu,et al.  Simulation of fuzzy multiattribute models for grey relationships , 2006, Eur. J. Oper. Res..

[15]  K. Sakamoto,et al.  Grey relative analysis and future prediction on rural household biofuels consumption in China , 2004 .

[16]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[17]  James R. Marsden,et al.  An investigation of changes in attitude over time of GDSS groups under unanimity and majority decision rules , 2003, Eur. J. Oper. Res..

[18]  Allan D. Shocker,et al.  Linear programming techniques for multidimensional analysis of preferences , 1973 .

[19]  Jian-Bo Yang,et al.  Fuzzy linear programming technique for multiattribute group decision making in fuzzy environments , 2004, Inf. Sci..

[20]  H. Nurmi Approaches to collective decision making with fuzzy preference relations , 1981 .

[21]  J. Kacprzyk,et al.  On Measuring Consensus in the Setting of Fuzzy Preference Relations , 1988 .

[22]  Marc Roubens,et al.  Fuzzy sets and decision analysis , 1997, Fuzzy Sets Syst..