Presentation 2012-03-16
Safety of Fuzzy Inference Systems : On Monotonicity
Hirosato SEKI, Masaharu MIZUMOTO,
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Abstract(in English) Seki has proposed a "fuzzy functional SIRMs model" whose consequent parts of the SIRMs model are generalized to fuzzy functions from real numbers. In safety of fuzzy inference models, we hope that in inference results of the fuzzy functional SIRMs model are monotone if the antecedent parts and consequent parts of fuzzy rules in the fuzzy functional SIRMs rule modules are monotone. However, this paper points out that even if consequent parts in the fuzzy functional SIRMs rule modules are monotone, the inference results are not necessarily monotone when antecedent parts are non-comparable fuzzy sets, and it clarifies the conditions for the monotonicity of inference results by the fuzzy functional SIRMs model.
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Keyword(in English) Fuzzy inference / SIRMs connected fuzzy inference model / fuzzy functions / safety / monotonicity
Paper # SSS2011-26
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Conference Information
Committee SSS
Conference Date 2012/3/9(1days)
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Registration To Safety (SSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Safety of Fuzzy Inference Systems : On Monotonicity
Sub Title (in English)
Keyword(1) Fuzzy inference
Keyword(2) SIRMs connected fuzzy inference model
Keyword(3) fuzzy functions
Keyword(4) safety
Keyword(5) monotonicity
1st Author's Name Hirosato SEKI
1st Author's Affiliation Department of Technology Management, Osaka Institute of Technology()
2nd Author's Name Masaharu MIZUMOTO
2nd Author's Affiliation Department of Engineering Informatics, Osaka Electro-Communication University
Date 2012-03-16
Paper # SSS2011-26
Volume (vol) vol.111
Number (no) 491
Page pp.pp.-
#Pages 4
Date of Issue