Summary
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On the Monotonicity of Single Input Type Fuzzy Reasoning Methods Hirosato SEKI Hiroaki ISHII Masaharu MIZUMOTO Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E90-A No.7 pp.1462-1468 Publication Date: 2007/07/01 Online ISSN: 1745-1337 DOI: 10.1093/ietfec/e90-a.7.1462 Print ISSN: 0916-8508 Type of Manuscript: PAPER Category: General Fundamentals and Boundaries Keyword: fuzzy reasoning, single input rule modules (SIRMs), fuzzy sets, monotonicity, Full Text: PDF(239.6KB)>>
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 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. | ||||||||||
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