Analysis of Fuzzy Inference Methods

Abstract: Logic is a set of well-formed formulae, along with an inference relation. But the Classical Logic is bivalent; for this reason, very limited to solve problems with uncertainty on the data. It is well-known that Artificial Intelligence requires Logic. Because its Classical version shows too many insufficiencies, it is very necessary to introduce more sophisticated tools, as may be Non-Classical Logics. We attempt to analyze here some questions related these very interesting Classical and modern Non-Classical Logics, though the mathematical properties which appears in some innovative tools that improved Fuzzy Inference Methods, as may be Mamdani method, or Takagi-Sugeno-Kang method, and many others