基于可拓集合的动态分类及其UML表示方法研究

Research on Dynamic Classification Based on Extension Set and Its Representation in UML

可拓集合是分析事物的可变性和多变性的理论基础 .本文首先建立了物元与类之间的联系 ,在可拓集合零界的基础上建立了过渡类 ,为了形式化描述出多值分类 ,对关联函数进行约束 ,并利用可拓域与物元变换探讨了动态分类机制 ,最后采用 UML构造型扩展机制对动态分类的表示问题进行初步的研究 .

Extension set theory is the theoretical basis for researching the changeability of matters. Firstly, the relationship between matter-elements(MEs) and classes is discussed, which is necessary for the study on dynamic classifiaction (DC) using extension set. Secoindly, the concept of transition class is presented based on the zero boundary of extension set. Thirdly, the dependent function is reconstructed with restrictions so as to describe the multiple classification in formal way. Fourthly, the mechanism of DC is discussed according to the extension field and the transformation of MEs. Finally, a representation for DC is studied using stereotype extension mechanism in unified modeling language(UML).