Fuzzifying拓扑空间中的强半分离性

doi:10.3778/j.issn.1002-8331.1707-0362

计算机工程与应用 ›› 2018, Vol. 54 ›› Issue (18): 52-57.DOI: 10.3778/j.issn.1002-8331.1707-0362

Fuzzifying拓扑空间中的强半分离性

杨文华

内蒙古财经大学统计与数学学院，呼和浩特 010020

出版日期:2018-09-15 发布日期:2018-10-16

Strong semi-separation axiom in Fuzzifying topological spaces

YANG Wenhua

School of Statistics and Mathmatics, Inner Mongolia University of Finance and Economics, Huhhot 010020, China

Online:2018-09-15 Published:2018-10-16

摘要/Abstract

摘要： 在[Fuzzifying]拓扑空间中，运用连续值逻辑[LΝ1]（赋值格为[Lukasiewicz]单位区间）语义的方法，以强半开集、强半邻域、强半闭包和强半内部等概念为工具引入了[SPT0、][SPT1、][SPT2、][SPT3、][SPT4]强半分离公理，并且给出了五种强半分离公理各自的等价刻画，讨论了它们彼此之间的关系。这套分离公理本身是协调的，可以作为对已有分离公理一种很好的补充。

关键词: Lukasiewicz逻辑, Fuzzifying拓扑, 强半开集, 强半分离性

Abstract: In Fuzzifying topological spaces, using the semantic method of continuous logic, and strong semi-open sets, strong semi-neighborhood, strong semi-interior, strong semi-closure as tools, strong semi-separation axioms [SPT0,][SPT1,][SPT2,][SPT3,][SPT4]are introduced. In addition, equivalent characterizations of them are given, and the relations of each other are discussed. The results show that the separation axioms are not only compatible themselves, but also it can be seen as a useful complement to those have existence.

Key words: Lukasiewicz logic, Fuzzifying topology, strong semi-open sets, strong semi-separationaxiom

杨文华. Fuzzifying拓扑空间中的强半分离性[J]. 计算机工程与应用, 2018, 54(18): 52-57.

YANG Wenhua. Strong semi-separation axiom in Fuzzifying topological spaces[J]. Computer Engineering and Applications, 2018, 54(18): 52-57.

Fuzzifying拓扑空间中的强半分离性

Strong semi-separation axiom in Fuzzifying topological spaces

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics