具有负传递非对称部分的偏好关系。I
On the Preference Relations with Negatively Transitive Asymmetric Part. I
摘要：
给定一个线性序集合I，每个满射映射p：A --> I赋予集合A一个偏好集的结构，通过把p看作“气球”（赋予等价关系的集合），用它们的逆像“替换”I的元素，提升A上的线性序，并用气球“粘合”这个结构。线性有序集合I的结构的每个气球膨胀A都是偏好关系（不一定是完全的）是负传递的偏好集合，并且给定集合A上的每个这样的结构都可以通过线性有序集合I的某种结构的气球膨胀来获得，该结构内在地编码在A中。换句话说，线性和负及物性之间的差异是由气球构成的。作为这一特征的结果，在具有区间拓扑的偏好集A上的某些自然拓扑条件下，证明了A上连续广义效用函数的存在性.
英文摘要：
Given a linearly ordered set I, every surjective map p: A --> I endows the set A with a structure of set of preferences by "replacing" the elements of I with their inverse images via p considered as "balloons" (sets endowed with an equivalence relation), lifting the linear order on A, and "agglutinating" this structure with the balloons. Every ballooning A of a structure of linearly ordered set I is a set of preferences whose preference relation (not necessarily complete) is negatively transitive and every such structure on a given set A can be obtained by ballooning of certain structure of a linearly ordered set I, intrinsically encoded in A. In other words, the difference between linearity and negative transitivity is constituted of balloons. As a consequence of this characterization, under certain natural topological conditions on the set of preferences A furnished with its interval topology, the existence of a continuous generalized utility function on A is proved.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
