中性软拓扑空间中的广义中性分离公理

Q1 Mathematics
Arif Mehmood, F. Nadeem, Giorgio Nordo, M. Zamir, Choonkill Park, H. Kalsoom, Shamoona Jabeen, M. Khan
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引用次数: 13

摘要

. 中性集的概念是由Smarandache通过考虑真隶属、不确定隶属和假或假隶属函数而提出的。中性细胞与软细胞的接合由马吉完成。此外,它还被有效地用于不同应用领域的不确定性建模,如控制、推理、模式识别和计算机视觉。本文的第一个目的是揭示嗜中性软p开集、嗜中性软p闭集的概念及其重要特征。提出了中性软拓扑空间中中性软p邻域的概念和中性软p分离公理。结合这些新定义的相对于软点的概念,检验了重要的结果。将中性软拓扑空间的中性软p-分离公理的概念扩散到关于软点的不同结果中。进一步,建立了中性软- P - i空间(i = 0,1,2,3,4)的性质和它们之间的联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces
. The idea of neutrosophic set was floated by Smarandache by considering a truth membership, an indeterminacy membership and a falsehood or falsity membership functions. The engagement between neutrosophic set and soft set was done by Maji. More over it was used effectively to model uncertainty in different areas of application, such as control, reasoning, pattern recognition and computer vision. The first aim of this paper leaks out the notion of neutrosophic soft p-open set,neutrosophic soft p-closed sets and their important characteristics. Also the notion of neutrosophic soft p-neighborhood and neutrosophic soft p-separation axioms in neutrosophic soft topological spaces are developed. Important results are examed marrying to these newly defined notion relative to soft points. The notion of neutrosophic soft p-separation axioms of neutrosophic soft topological spaces is diffused in different results concerning soft points. Furthermore, properties of neutrosophic soft - P i -space ( i = 0 , 1 , 2 , 3 , 4) and linkage between them is built up.
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来源期刊
Neutrosophic Sets and Systems
Neutrosophic Sets and Systems COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE-
CiteScore
4.50
自引率
0.00%
发文量
0
审稿时长
7 weeks
期刊介绍: Neutrosophic Sets and Systems (NSS) is an academic journal, published bimonthly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.
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