A New Method for OWA Aggregation of Interval Values in Multi-Criteria Decision Making

OWA operator is an effective aggregation method in multi-criteria decision making problem. However, in some multi-criteria decision making cases, the criteria satisfactions have some uncertainty, for instance, which is a set of interval values at a series of different levels. For multi-criteria decision making problem, it is necessary to aggregate criteria satisfactions. But the linear ordering of criteria satisfactions is unknown at a specific level in these cases. Therefore, OWA operator cannot be applied to aggregate the satisfactions directly. In this paper, a new method, named as the Interval Value Exceedance Method (IVEM), is proposed. By using the proposed method, the domination relationship of criteria satisfactions for each level can be obtained. Then OWA operator can be used to aggregate these satisfactions based on the domination relationship, even if the linear ordering of satisfaction is unknown.