Logical and Decisive Combining Criterion for Binary Group Decision Making

A new combining criterion, the Multiplicative Proportional Deviative Influence (MPDI) is presented for combining or aggregating multi-expert numerical judgments in Yes-or-No type illstructured group decision making situations. This newly proposed criterion performs well in comparison with the widely used aggregation means: the Arithmetic Mean (AM), and Geometric Mean (GM), especially in better reflecting the degree of agreement between criteria levels or numerical experts’ judgments. The MPDI can be considered as another class of combining criteria that make effect of the degree of agreement among multiple numerical judgments. The MPDI is applicable in integrating several collaborative or synergistic decision making systems through combining final numerical decision outputs. A discussion and generalization of the proposed MPDI is discussed with numerical example.