On generalization of fuzzy topological groups and Modelling Robotic crash*

P. Gnanachandra, A. M. Kumar, M. Seenivasan, R. Ramesh
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Abstract

In this article, we generalize the idea of fuzzy topological group to fuzzy paratopological group, fuzzy semitopological group and fuzzy quasitopological group with illustrated examples and properties. We proved that each fuzzy regular paratopological group is completely regular by using fuzzy uniformities. In addition, we model a robotic crash by using generalizations of fuzzy topological group and nano topology.
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模糊拓扑群的泛化与机器人碰撞建模*
本文将模糊拓扑群的概念推广到模糊准拓扑群、模糊半拓扑群和模糊拟拓扑群,并给出了具体的例子和性质。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,我们利用模糊拓扑群和纳米拓扑的推广建立了机器人碰撞模型。
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