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Unexpected non-linearity of fuzzy reasoning output amplified by multi-input

The unexpected non-linearity of fuzzy reasoning output exists in the case of MIN operation adoption in order to calculate the antecedent matching degree. The unexpected non-linearity becomes more critical as the number of inputs increase. This paper discusses and evaluates this using a symmetrical section method which graphically shows the symmetrical cutting-line of the phase plane as a result of the arbitrary n-input fuzzy reasoning output.