Abstract: Firstly, the product inference engine formula of the consequent output fuzzy set of fuzzy rules was given by using the triangular fuzzifier. Secondly, the analytical expression of the Mamdani fuzzy system was introduced according to the triangular fuzzifier, product inference engine and central average solution fuzzifier, and when the antecedent fuzzy set value was triangular fuzzy number, the output algorithm of Mamdani fuzzy system was designed by using subdivision domain and a triangular fuzzifier method. Finally, the effectiveness of the output algorithm was verified by using the statistical t-hypothesis test in an example.

Key words: triangular fuzzifier, center average solution fuzzifier, Mamdani fuzzy system, equidistant subdivision, output algorithm