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On fuzzy reasoning schemes

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.