A new Operator Fuzzy logic in the theory of semantics integral has been defined. In the way of combining syntax and semantics of the formulas, this logic which named SIOFL can give an index to the truth degree of a proposition formula. It can give the quantum measure of default information with the obtained knowledge. With the character of non-monotonic, the logic system is suitable for approximate reasoning when some information is lacked.
The generalized truth degree of quantitative logic in the logic system Ln∗ (n-valued NM-logic system)
