On the monotonicity of SIRMs connected type fuzzy reasoning method and SIC reasoning method

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 singl...

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Bibliographic Details
Main Authors: Hirosato Seki, Hiroaki Ishii, Masaharu Mizumoto
Format: Conference Proceeding
Language:English
Subjects:
Combustion
Control systems
Fuzzy reasoning
Fuzzy sets
Fuzzy systems
Information science
Kilns
Nonlinear control systems
Silicon carbide
Steam engines
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Summary: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 reasonig 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.
ISSN:1062-922X
2577-1655
DOI:10.1109/ICSMC.2007.4414246