模糊化软拓扑空间中的软分离公理

Ramadhan A. Mohammed
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引用次数: 0

摘要

通过对软隶属(即软元)和两个不同的软元概念的新方法,成功地引入和研究了软拓扑模糊化中${T_0}\left( {X,\tilde \tau ,A} \right)$、${T_1}\left( {X,\tilde \tau ,A} \right)$、${T_2}\left( {X,\tilde \tau ,A} \right)$(软豪斯多夫)、${T_3}\left( {X,\tilde \tau ,A} \right)$、(软正则性)、${T_4}\left( {X,\tilde \tau ,A} \right)$(软正态性)等软分离公理的概念,并给出了它们的一些等价概念以及这五个公理之间的相互关系。
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On Soft Separation Axioms in Fuzzifying Soft Topological Spaces
By applying a new approach to concepts of both soft belonging which is called soft element and two distinct soft elements, we success to introduce and study the concepts of ${T_0}\left( {X,\tilde \tau ,A} \right)$, ${T_1}\left( {X,\tilde \tau ,A} \right)$, ${T_2}\left( {X,\tilde \tau ,A} \right)$ (soft hausdorff), ${T_3}\left( {X,\tilde \tau ,A} \right)$, (soft regularity), ${T_4}\left( {X,\tilde \tau ,A} \right)$ (soft normality) soft separation axioms in fuzzifying soft topology, and give some of their equivalents as well as the relation with each other of the five axioms.
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