模糊偏好下的一般可能性定理及其研究

On a General Possibility Theorem under Fuzzy Preference

研究和探讨了社会选择中模糊偏好问题．在一组模糊理性（方案公平性、无关方案独立性及Ｐａｒｅｔｏ性等）条件下证明了一个不可能性定理，并将其中的独裁者区分为一般、α－和完全三种类型，分析了这些独裁者与偏好传递性间的关系．

Fuzzy preferences in social choice areV investigated. An impossibility theorem is proved under a series of fuzzy rational conditions: the alternatives fairness, the independence of irrelevant alternatives, and the Pareto conditions. The dictators are divided into the general, the α and the complete ones. The relationship between these dictators and the preference transitivity are analyzed. Under a specific transitivity condition, a fuzzy aggregation rule in which there exists an α dictator or a complete dictator is found.