In this work we provide a short survey of the most frequently used fuzzy
reasoning schemes. The paper is organized as follows: in the first section
we introduce the basic notations and definitions needed for fuzzy inference
systems; in the second section we explain how the GMP works under Mamdani,
Larsen and G¨odel implications, furthermore we discuss the properties
of compositional rule of inference with several fuzzy implications; and in
the third section we describe Tsukamoto’s, Sugeno’s and the simplified fuzzy
inference mechanisms in multi-input-single-output fuzzy systems