NEIGHBORHOOD STRUCTURE OF A FUZZY POINT IN FUZZY TOPOLOGICAL SPACES AND MOORE-SMITH CONVERGENCE

Fuzzy topology, which is generally considered to be a generalization of ordinary general topology, is an animated area of fuzzy mathematics. Not a few research papers on the topics in this area have been published (cf. [1—16]) since 1968 when C. L. Chang published his first paper on fuzzy topological spaces. But there are still

不分明拓扑学中的乘积空间与商空间

在文献[1]中,我们引进了以分明点为特例的不分明点的定义;对于不分明点的邻近构造,除了现成的邻域系以及点与集合的一种关系“属于”之外,我们引入了称之为重域系的结构以及点与集合又一种新的关系“重于”;这样在分明拓扑学的名著中有关点的邻近构造及Moore-Smith收敛的第Ⅰ,Ⅱ章的定理,可推广于不分明拓扑学。