ABSTRACT
Ordinary logic is very often used when dealing with certainty, but in many fields when we have to treat uncertainty or 'fuzziness' boolean logic appears a very poor concept. Several artificial intelligence (AI) or linguistic applications require the ability to reason with uncertain information. The semantic generalization of logic in which the truth values of sentences are probability values between 0 and 1 seems to be necessary, assignment of probability values could be consistent or inconsistent.
