“…The notion of semiring division can be applied to all the classical semirings instances [8], as the Boolean {false, true}, ∨, ∧, false, true , Fuzzy [0, 1], max, min, 0, 1 , Probabilistic [0, 1], max, ×, 0, 1 ( × is the arithmetic multiplication) and Weighted R + ∪ {+∞}, min, +, ∞, 0 semiring ( + is the arithmetic plus operation): the reason is that all these semirings are complete and consequently residuated [4]. Therefore, for all these semirings it is possible to use the ÷ operation as a "particular" inverse of ×.…”