Catalogue of Artificial Intelligence Techniques
Categories: Inference and Reasoning , Knowledge Representation
Author(s): Fl\'avio Corr\^ea da Silva
Fuzzy logics were created to deal with vague sentences and partial degrees of truth. The truth-value of a sentence in a fuzzy logic is a value in the interval , rather than true or false. Intuitively, assigning a truth-value to a sentence corresponds to the concept of the sentence being false, assigning a truth-value
corresponds to the sentence being true, and intermediate values (i.e., values between and ) represent distances between the truth-value of the sentence and the values true and false. Fuzzy truth-values are propagated by means of triangular norms and conorms and symmetric inversion functions. For example, if the sentence has truth-value the sentence has truth-value , then the sentence can be defined to have the truth-value , the sentence
can be defined to have the truth-value
and the sentence can be defined to have the truth-value
- Dubois, D. and Prade, H., An Introduction to Possibilistic and Fuzzy Logics, Non-Standard Logics for Automated Reasoning ( Smets, P., Mamdani, E.H., Dubois, D. and Prade, H.
, eds.), Academic Press , London, 1988, pp.287--326.