On the Radiosity panel of the Preference Settings dialog, you set options for the radiosity solution.

When on, reflectance and transmittance values are displayed in the Material Editor.
When on, radiosity effects are displayed in the viewports.
When on, all refine iterations stored in geometric objects are automatically processed.
When on, a warning message is displayed whenever you reset the radiosity solution in your scene.
When on, the radiosity engine must be reset and then recalculated if the solution is invalidated. In this case, the Start button changes to read Update & Start. When this is pressed, the radiosity solution is reset and the calculation starts over again.
When this toggle is off, the radiosity solution does not need to be reset if it is invalidated. You can continue processing your scene with the invalid solution.
The light levels from the radiosity solution are always saved with the file, however when this is on, some additional radiosity information is saved with your scene.