On fuzzy paratopological group and decision making during robot crash

IF 0.6 Q3 MATHEMATICS Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki Pub Date : 2023-06-01 DOI:10.35634/vm230205
A. Muneesh Kumar, P. Gnanachandra, S. Acharjee
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引用次数: 0

Abstract

In this article, we introduce fuzzy paratopological group, fuzzy semitopological group and fuzzy quasitopological group with illustrative examples and properties. These new notions belong to fuzzy topological group. Here, we prove that each fuzzy regular paratopological group is completely regular by using fuzzy uniformities. Moreover, we prove some results related to fuzzy semitopological group and fuzzy quasitopological group. In addition, we provide an application in the area of decision making during robot crash by using our above stated notions and nano topology.
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机器人碰撞过程中的模糊类群与决策
本文介绍了模糊准拓扑群、模糊半拓扑群和模糊准拓扑群，并给出了具体的例子和性质。这些新概念属于模糊拓扑群。本文利用模糊均匀性证明了每一个模糊正则准拓扑群是完全正则的。此外，我们还证明了关于模糊半拓扑群和模糊拟拓扑群的一些结果。此外，我们还利用上述概念和纳米拓扑在机器人碰撞决策领域提供了一个应用。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki
Vestnik Udmurtskogo Universiteta-Matematika Mekhanika Kompyuternye Nauki MATHEMATICS-
CiteScore
1.20
自引率
40.00%
发文量
27
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