Editing Unit interval (section)

== Fuzzy logic ==
In [[logic]], the unit interval {{closed-closed|0,1}} can be interpreted as a generalization of the [[Boolean domain]] {0,1}, in which case rather than only taking values 0 or 1, any value between and including 0 and 1 can be assumed. Algebraically, [[negation]] (NOT) is replaced with {{math|1 − ''x''}}; [[Logical conjunction|conjunction]] (AND) is replaced with multiplication ({{math|''xy''}}); and [[Logical disjunction|disjunction]] (OR) is defined, per [[De Morgan's laws]], as {{math|1 − (1 − ''x'')(1 − ''y'')}}.

Interpreting these values as logical [[truth value]]s yields a [[multi-valued logic]], which forms the basis for [[fuzzy logic]] and [[probabilistic logic]]. In these interpretations, a value is interpreted as the "degree" of truth – to what extent a proposition is true, or the probability that the proposition is true.