Dispersion of group judgments.

*(English)*Zbl 1173.91346Summary: To achieve a decision with which the group is satisfied, the group members must accept the judgments, and ultimately the priorities. This requires that (a) the judgments be homogeneous, and (b) the priorities of the individual group members be compatible with the group priorities. There are three levels on which the homogeneity of group preference needs to be considered: (1) for a single paired comparison (monogeneity), (2) for an entire matrix of paired comparisons (multigeneity), and (3) for a hierarchy or network (omnigeneity). In this paper we study monogeneity and the impact it has on group priorities.

##### MSC:

91B10 | Group preferences |

##### Keywords:

reciprocal uniform distribution; geometric mean; geometric dispersion; group cohesiveness; group liaison; principal right eigenvector; beta distribution
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\textit{T. L. Saaty} and \textit{L. G. Vargas}, Math. Comput. Modelling 46, No. 7--8, 918--925 (2007; Zbl 1173.91346)

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