Most filters don't work like that. If you check a box, it excludes everything without that facet. If you uncheck a box, that facet is ignored (it is neither included nor excluded.)
For example, if I want to search for size-9 blue Adidas shoes, I find the three checkboxes for "9", "blue" and "Adidas" in the shoe department. If I uncheck "blue" then the search will show me every size-9 Adidas shoe, whatever its color.
Since unchecked boxes are simply ignored, there is no signal I can use in such a filtered search to exclude facets which I specify. I have never seen a filtered-search interface which permits this in the sectors where I most need it.
For example, search for a therapist who practices CBT. Easy. Now try listing all therapists who do not practice CBT. Impossible!
For example, if I want to search for size-9 blue Adidas shoes, I find the three checkboxes for "9", "blue" and "Adidas" in the shoe department. If I uncheck "blue" then the search will show me every size-9 Adidas shoe, whatever its color.
Since unchecked boxes are simply ignored, there is no signal I can use in such a filtered search to exclude facets which I specify. I have never seen a filtered-search interface which permits this in the sectors where I most need it.
For example, search for a therapist who practices CBT. Easy. Now try listing all therapists who do not practice CBT. Impossible!