Aggregation of Fuzzy Opinions Under Group Decision-Making Based on Similarity and Distance

In this article, a new method for aggregating fuzzy individual opinions into a group consensus opinion is proposed. To obtain the aggregation weights of each individual opinion, a consistency index of each expert with the other experts is introduced based on similarity and distance. The importance of each expert is also taken into consideration in the process of aggregation. Finally, a numerical example is presented to illustrate the efficiency of the procedure.

[1]  Hsuan-Shih Lee,et al.  Optimal consensus of fuzzy opinions under group decision making environment , 2002, Fuzzy Sets Syst..

[2]  A. Bárdossy,et al.  Combination of fuzzy numbers representing expert opinions , 1993 .

[3]  Xu Ruoning,et al.  Extensions of the analytic hierarchy process in fuzzy environment , 1992 .

[4]  A. Kaufmann,et al.  Introduction to fuzzy arithmetic : theory and applications , 1986 .

[5]  Piero P. Bonissone,et al.  A Linguistic Approach to Decisionmaking with Fuzzy Sets , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  Janusz Kacprzyk,et al.  Multistage evolutionary optimization of fuzzy systems—application to optimal fuzzy control , 1997 .

[7]  Rami Zwick,et al.  Measures of similarity among fuzzy concepts: A comparative analysis , 1987, Int. J. Approx. Reason..

[8]  Chen-Tung Chen,et al.  Aggregation of fuzzy opinions under group decision making , 1996, Fuzzy Sets Syst..

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

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

[11]  Richard M. Tong.  A Linguistic Approach to Decisionmaking with Fuzzy Sets , 1993 .

[12]  Stanislaw Heilpern,et al.  Representation and application of fuzzy numbers , 1997, Fuzzy Sets Syst..

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

[14]  Radko Mesiar,et al.  Fuzzy Interval Analysis , 2000 .

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

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