Multiplicative consistency for interval additive reciprocal preference relations

The multiplicative consistency (MC) property of interval additive reciprocal preference relations (IARPRs) is explored, and then the consistency index is quantified by the multiplicative consistency estimated IARPR. The MC property is used to measure the level of consistency of the information provided by the experts and also to propose the consistency index induced ordered weighted averaging (CI-IOWA) operator. The novelty of this operator is that it aggregates individual IARPRs in such a way that more importance is put on the most consistent ones. Finally, an approach for group decision making problems with IARPRs is proposed.