 In logic, the unit interval [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 formula_3 ; conjunction (AND) is replaced with multiplication (formula_4); and disjunction (OR) is defined, per De Morgan's laws, as formula_5 .Interpreting these values as logical truth values yields a multi-valued logic, which forms the basis for fuzzy logic and probabilistic logic.