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

H. Arikawa, M. Mizumoto
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Abstract

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.
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多输入放大模糊推理输出的非预期非线性
为了计算前项匹配度,在采用最小运算的情况下,模糊推理输出存在意想不到的非线性。随着输入数量的增加,意想不到的非线性变得更加关键。本文用对称截面法对这一问题进行了讨论和评价,该方法用图形表示了任意n输入模糊推理输出所产生的相平面对称切割线。
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