pseudonorm

In this paper,the fuzzy norm of a ring and the fuzzy composite norm of a ring are defined,the fuzzy topological ring of tope(QU) about the fuzzy composite normalization is proved;the necessary and sufficient condition about the fuzzy composite normalization of fuzzy topological ring is obtained.

引入了环上的模糊伪范数概念及环上的模糊复合伪范数概念,证明了对于环上的每一个模糊复合伪范数均存在着唯一的模糊拓扑使之成为(QU)型模糊拓扑环,并且得到每一个(QU)型模糊拓扑环均可借助于环上一个模糊复合伪范数刻画的特征。

In this paper, the composite fuzzy pseudonorm of a group is defined, It obtained the necessary and sufficient condition that use composite fuzzy pseudonorm of a group to describe fuzzy topological group of tope (QU).

引入群上复合模糊伪范数概念,并研究借助于群上的模糊复合伪范数来刻画(QU)型模糊拓扑群的充分必要条件;从而获得每个(QU)型模糊拓扑群均可借助于群上的一个模糊复合伪范数来刻画的新特征。

We introduce the notion of generalized fuzzy p-pseudonorm, and prove that every locally semi-convex I-vector topology can be determined by a family of generalized fuzzy p-pseudonorms.

给出局部半凸I-拓扑向量空间的一个新定义,并重新命名"局部半凸模糊拓扑线性空间"为"(QL)-型局部半凸I-拓扑向量空间",研究这两种定义之间的关系,引入广义模糊p-伪范数的概念,证明每个局部半凸I-拓扑向量空间可通过一族广义模糊p-伪范数来刻画。