摘要
We extend the notion of a uniform space in a natural way by defining a uniform spaces in L-fuzzy spaces.Although these spaces seem quite similar to ordinary case,we show that the category of this uniform spaces is a good extension of the category of ordinary uniform spaces and the category of L-uniform spaces.Moreover,we introduce the concept of uniform topological spaces in the framework of uniform spaces in L-fuzzy spaces.Furthermore,the relation between proximity and uniform spaces in L-fuzzy spaces will be established.
We extend the notion of a uniform space in a natural way by defining a uniform spaces in L-fuzzy spaces. Although these spaces seem quite similar to ordinary case, we show that the category of this uniform spaces is a good extension of the category of ordinary uniform spaces and the category of L-uniform spaces. Moreover, we introduce the concept of uniform topological spaces in the framework of uniform spaces in L-fuzzy spaces. Furthermore, the relation between proximity and uniform spaces in L-fuzzy spaces will be established.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第4期131-143,共13页
Fuzzy Systems and Mathematics
关键词
模糊数学
模糊系统
模糊集
理论
L-fuzzy Spaces
Proximity Structures on L-fuzzy Spaces
Uniformity Structures on L-fuzzySpaces
Uniform Topology on L-fuzzy Spaces
