论文标题
Rådström取消定理的扩展
An extension of the Rådström Cancellation Theorem to Cornets
论文作者
论文摘要
本文的目的是介绍Cornets的概念，该概念形成了有序的半群的特定子类，还配备了自然数量的乘法。角色最重要的标准示例是非空的子集的家族和向量空间的非空模模糊子集。在短号中，可以自然地定义凸，非负性，阿基米属性，有限性，元素的闭合度。与这些概念相关的基本属性是建立的。主要结果扩展了Rådström在1952年发现的取消原则。
The aim of this paper is to introduce the notion of cornets, which form a particular subclass of ordered semigroups also equipped with a multiplication by natural numbers. The most important standard examples for cornets are the families of the nonempty subsets and the nonempty fuzzy subsets of a vector space. In a cornet, the convexity, nonnegativity, Archimedean property, boundedness, closedness of an element can be defined naturally. The basic properties related to these notions are established. The main result extends the Cancellation Principle discovered by Rådström in 1952.
