A Mathematical Theory of System Fluctuations Using Fuzzy Mapping (Special Section on Neural Nets, Chaos and Numerics)
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概要
- 論文の詳細を見る
In the direct product space of a complete metric linear space X and its related space Y, a fuzzy mapping G is introduced as an operator by which we can define a projective fuzzy set G(x,y) for any x⋳X and y⋳Y. An original system is represented by a completely continuous operator f(x)⋳Y, e.g., in the form x=λ(f(x)), (λ is a ljnear operator), and a nondeterministic or fuzzy fluctuation induced into the original system is represented by a generalized form of system equation x⋳_βG(x,f(x)). By establishing a new fixed point theorem for the fuzzy mapping G, the existence and evaluation problems of solution are discussed for this generalized equation. The analysis developed here for the fluctuation problem goes beyond the scope of the perturbation theory.
- 社団法人電子情報通信学会の論文
- 1993-05-25
著者
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Endo Yasunori
The School Of Science And Engineering Waseda University
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Endo Yasunori
The School Of Engineering Tokai University
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Horiuchi Kazuo
the School of Science and Engineering, Waseda University
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Horiuchi Kazuo
The School Of Science And Engineering Waseda University
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