On generalization of fuzzy topological groups and Modelling Robotic crash*

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.