FUZZY TOPOLOGICAL SPACES
FUZZY TOPOLOGICAL SPACES
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DOI：
10.1016/0022-247x(68)90057-7
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发表时间：
1968-01-01
影响因子：
1.3
通讯作者：
CHANG, CL
中科院分区：
文献类型：
--
作者：
CHANG, CL
在[1]中引入的模糊集的概念，提供了一个自然的框架，将一般拓扑的许多概念推广到可以称为模糊拓扑空间的空间。为了简洁起见，本文将把注意力集中在开集、闭集、邻域、内集、连续性和紧性等基本概念上，紧接着Kelly [2]中给出的定义、定理和证明。我们的符号和术语的模糊集遵循Zadeh [I]。
The concept of a fuzzy set, which was introduced in [l], provides a natural framework for generalizing many of the concepts of general topology to what might be called fuzzy topological spaces. In the interest of brevity, we shall confine our attention in this note to the more basic concepts such as open set, closed set, neighborhood, interior set, continuity and compactness, following closely the definitions, theorems and proofs given in Kelly [2]. Our notation and terminology for fuzzy sets follow that of Zadeh [I].