What is a weight vector?

Hello, Matlab community, I hope you are all doing well! I have a small question and I hope you can help me! I am trying to create a filter using the FDA design tool in Simulink and to be precise I am creating a multiband equiripple filter. However, the problem is that I don't know how to use the weight vectors in order to create the best fit filter according to my specifications. Can you please explain what a weight vector is and how can it be used? I tried to understand it according to the design specification attached. Thank you for your help!

[Jesus Arturo Devesa Pardo]

A vector is a line segment, counted from a point in space, whose length represents a magnitude to scale, in a given direction and in one of its directions.

In a basic neural network, consisting of several inputs Xi [i=1..n], each of whose values is multiplied by a "weight" Wi. The weight is a value that expresses the importance of each input when calculating the output.