By constructing two functor, we have proved a representation theorem of the category stml that the category stml is equivalent with the category fsts, where fsts is consisted of-fuzzifying scott topological spaces and the mappings which are preserving directed-join and way-below relation and continuous . besides, the category stml ( c ) has been discussed, where c is a subcategory of the category of the completely distributive lattices and gohs, c, morphisms are ( 1, 2 )-smooth continuous goh 构造性地给出一对函子,并以此证明了范畴stml(l)的一个表示定理,即范畴stml(l)与范畴fsts(l)(由l-fuzzifyingscott拓扑空间与保定向并和way-below关系的l-fuzzifying连续映射所构成的范畴)等价。
The characteristic of the new fuzzy support vector machine is that, for the data with numerical decision attributes, this algorithm fuzzifying the samples to some classes based on actual problem first, then training them; for new sample, this algorithm not simply dope the corresponding decision value, but give the corresponding class and the membership degree belongs to it based on the actual circs and its condition attributes 这种模糊支持向量机的特点是,对于决策属性为连续型的数据,这种算法先根据实际问题将样本点模糊化成若干类,然后再进行训练学习;并且对于新样本,并不是简单的预测出于其所对应的决策值,而是根据实际情况和它的条件属性给出其所对应的类及其属于该类大致程度。