zbMATH — the first resource for mathematics

Dispersion of group judgments. (English) Zbl 1173.91346
Summary: 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.

91B10 Group preferences
Full Text: DOI
[1] Condon, E.; Golden, B.; Wasil, E., Visualizing group decisions in the analytic hierarchy process, Computers and operations research, 30, 1435-1445, (2003) · Zbl 1105.90320
[2] Aczel, J.; Saaty, T.L., Procedures for synthesizing ratio judgments, Journal of mathematical psychology, 27, 93-102, (1983) · Zbl 0522.92028
[3] Saaty, T.L., Fundamentals of decision making, (1994), RWS Publications Pittsburgh, PA · Zbl 0816.90001
[4] Ramanathan, R.; Ganesh, L.S., Group preference aggregation methods employed in the AHP: an evaluation and an intrinsic process for deriving member’s weightages, European journal of operational research, 79, 249-269, (1994) · Zbl 0815.90003
[5] T.L. Saaty, L.G. Vargas, The possibility of group choice: Pairwise comparisons and merging functions, The Joseph M. Katz Graduate School of Business, University of Pittsburgh, Pittsburgh, PA, 2003
[6] Gill, R.D.; Johansen, S., A survey of product-integration with a view toward application in survival analysis, The annals of statistics, 18, 4, 1501-1555, (1990) · Zbl 0718.60087
[7] Galambos, J., The asymptotic theory of extreme order statistics, (1978), J. Wiley New York · Zbl 0381.62039
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.