THE HAUSDORFF SEPARATION AXIOM FOR FUZZY TOPOLOGICAL SPACES

被引：73

作者：

Rodabaugh, S. E. ^{[1
]}

机构：

[1] Youngstown State Univ, Dept Math, Youngstown, OH 44555 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1980年 / 11卷 / 03期

关键词：

D O I：

10.1016/0166-8641(80)90031-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a theory of alpha-Hausdorff fuzzy topological spaces which is compatible with alpha-compactness and fuzzy continuity, and for alpha a certain type of member of a given lattice we obtain characterizations of the alpha-Hausdorff subspaces of the fuzzy unit interval, the fuzzy open unit interval, and the fuzzy real line. In route we give an easy proof of the Fuzzy Tychonov Theorem for alpha-compactness and extend the theory of one-point alpha-compactifications.

引用

页码：319 / 334

页数：16