Self-organizing fuzzy aggregation models to rank the objects with multipleattributes

In this paper, a kind of ranking system, called agent-clients evaluation sy stem, is proposed and investigated where there is no such an authority with the right to predetermine weights of attributes of the entities evaluated by multiple evaluators for obtaining an aggregated evaluation result from t he given fuzzy multi-attribute values of these entities. Three models are p roposed to evaluate the entities in such a system based on fuzzy inequality relation, possibility, and necessity measures, respectively. In these mode ls, firstly the weights of attributes are automatically sought by fuzzy lin ear programming (FLP) problems based on the concept of data envelopment ana lysis (DEA) to make a summing-up assessment from each evaluator. Secondly, the weights for representing each evaluator's credibility are obtained by F LP to make an integrated evaluation of entities from the viewpoints of all evaluators. Lastly, a partially ordered set on a one-dimensional space is o btained so that all entities can be ranked easily. Because the weights of a ttributes and evaluators are obtained by DEA-based FLP problems, the propos ed ranking models can be regarded as fair-competition and self-organizing o nes so that the inherent feature of evaluation data can be reflected object ively.