Multiple Fuzzy Soft Graphs Based on Maps and Consider Their Applications in Decision-Making

One of the most important hyper models in mathematics is the measure of fuzzy soft sets, which can handle more uncertainty associated with real-life problems. Therefore, it has a wider range of applications. The purpose of this work is to investigate and study a new model called fuzzy measure soft graphs (FMSG). Based on this model, we defined several notions like the totally regular fuzzy measure soft graph, uniform edge fuzzy measure soft graph, complement of fuzzy measure soft graph, and uniform vertex fuzzy measure soft graph. Further, using these ideas, we solved one decision-making problem for selecting the perfect parameter for universal V. In addition, several kinds of fuzzy measure topological spaces of mappings with strongly closed graphs, with a focus on \(FM\mho -\Phi\) (resp. \(\Omega -\Psi \Phi\) ) \(-\) closed graphs, employing the thoughts for   \(FM\mho -\Phi\) (resp. \(\Omega -\Psi \Phi\) ) \(-\) open sets and \(FM\mho -\Phi\) (resp. \(\Omega -\Psi \Phi\) ) \(-{T}_{2}\) . Finally, some properties of \(FM\mho -\Phi\) (resp. \(\Omega -\Psi \Phi\) ) \(-\) closed graphs and almost \(\varphi -\) minimized spaces have also been. investigated.