范畴FSCPTop的拓扑性

Topological Properties of the Category FSCPTop

基于连续逻辑值语义,引入不分明化s cp-开集,给出不分明化s cp-拓扑空间的概念,定义不分明化s cp-连续映射。并进一步研究范畴FSCPTop,证明范畴FSCPTop是范畴Set上的拓扑范畴。

Based on the continuous logic value semantics,we introduced the fuzzifying s cp-open sets,defined the concept of fuzzifying s cp-topological space and fuzzifying s cp-continuous mapping.Furthermore,we discussed the category FSCPTop and proved that the category FSCPTop was the topological category on the category Set.