A new fuzzy controller for stabilization of parallel-type double inverted pendulum system
Fuzzy Sets and Systems
A proposal of SIRMs dynamically connected fuzzy inference model for plural input fuzzy control
Fuzzy Sets and Systems - Fuzzy control
On the equivalence of single input type fuzzy inference methods
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
On the monotonicity of fuzzy-inference methods related to T-S inference method
IEEE Transactions on Fuzzy Systems - Special section on computing with words
SIRMs connected fuzzy inference method adopting emphasis and suppression
Fuzzy Sets and Systems
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Yubazaki et al. have proposed “single input rule modules connected type fuzzy reasoning method” (SIRMs method, for short) whose final output is obtained by summarizing the product of the importance degrees and the inference results from single input fuzzy rule module. Another type of single input type fuzzy reasoning method proposed by Hayashi et al. (we call it “Single Input Connected fuzzy reasoning method” (SIC method, for short) in this paper) uses rule modules to each input item as well as SIRMs method. We expect that inference results of SIRMs method and SIC method have monotonicity if the antecedent parts and consequent parts of fuzzy rules in 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 and SIC method.