为研究L-fuzzy闭包空间的分离性.定义了L-fuzzy闭包空间的T-1,T0与次T0分离性,给出了它们的等价刻画,用类比、推广的方法讨论了T-1,T0与次T0分离性的遗传性,可乘性等性质.证明了一个T-1(resp.,T0,次T0)L-fuzzy闭包空间的子空间仍是T-1(resp.,T0,次T0)L-fuzzy闭包空间,一族T-1(resp.,T0,次T0)L-fuzzy闭包空间的乘积空间仍是T-1(resp.,T0,次T0)L-fuzzy闭包空间的结果.结果表明文中定义的L-fuzzy闭包空间的T-1,T0与次T0分离性具有遗传性,可乘性.
Separation axioms of L-fuzzy closure spaces are studied in this paper. Firstly, the concept of T-1 ,To and sub-T0 separation axioms in L-fuzzy closure spaces are defined, and then some of their characteristics are given. Their hereditary property and productive property are disscussed by using analogy and generalization. It is proved that a sub space of T-1 (resp. , T0, sub-T0) L-fuzzy closure space is also a T-l(resp. ,To, sub-T0) L- fuzzy closure space and a class of T-1(resp., T0, sub-T0) L-fuzzy closure spaces is also a T-1 (resp. , T0, sub-T0) L-fuzzy closure space. The results indicate that the T-1, To and sub-T0 separation axioms defined in this paper is hereditary and productive.