Papers
Dispersion of group judgments
Author(s)Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States
Luis Vargas
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States
Publication date: Oct, 2007
Journal: Mathematical and Computer ModellingVol.: 46- Issue: 7-8- Pages: 918-925
Abstract: 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.
Keywords: Reciprocal uniform distribution, Geometric mean, Group cohesiveness, Group liaison, Eigenvector, Beta distribution