I don't know if my question is clear.
I want to add and remove some options in the circled section of the image.
I believe you might be talking about adding
As seen on the Plugin management page for all plugins.
I was going to take an example from one of my plugins however here is an example that's much simpler to follow from Pippin via guest post at WPMods HERE and if you don't know Pippin, he's one to follow for all things Plugin Development.
Fairly self explanatory (see inline comments for a break down of whats occurring). You can also add more than one link if your plugin requires it.