Abstract
Yubazaki proposed single input rule modules connected fuzzy reasoning method (SIRMs method) whose final output is obtained by summarizing the product of the importance degree and the inference result of single input fuzzy rule module. We hope that inference results of SIRMs method will have monotonicity if the antecedent parts and consequent parts of SIRMs rule modules have monotonicity. However, this paper points out that even if fuzzy rules in SIRMs rule modules have monotonicity, the inference results do not necessarily have monotonicity. Moreover, it clarifies the conditions for the monotonicity of inference results by SIRMs method.
