Chaotic Responses in a Self-Recurrent Fuzzy Inference with Nonlinear Rules (Special Section on Nonlinear Theory and Its Applications)
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概要
- 論文の詳細を見る
It is shown that a self-recurrent fuzzy inference can cause chaotic responses at least three membership functions, if the inference rules are set to represent nonlinear relations such as pie-kneading transformation. This system has single input and single output both with crisp values, in which membership functions is taken to be triangular. Extensions to infinite memberships are proposed, so as to reproduce the continuum case of one-dimensional logistic map f(x)=Ax(1-x). And bifurcation diagrams are calculated for number N of memberships of 3,5,9 and 17. It is found from bifurcation diagrams that different periodic states coexist at the same bifurcation parameter for N≧9. This indicates multistability necessarily accompanied with hysteresis effects. Therefore, it is concluded that the final states are not uniquely determined by fuzzy inferences with sufficiently large number of memberships.
- 社団法人電子情報通信学会の論文
- 1994-11-25
著者
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SAKAI Kazuo
Yaizu Suisan Kagaku Industry Co.
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Mukaidono Masao
School Of Science And Technology Meiji University
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Sakai Kazuo
Division of Natural Science, Meiji University
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Machida Tomio
Information Science Center, Meiji University
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Machida Tomio
Information Science Center Meiji University
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Mukaidono Masao
School of Science and Technology, Meiji University
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