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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Sugeno integral ： ウィキペディア英語版 Sugeno integral In mathematics, the Sugeno integral, named after M. Sugeno,〔Sugeno, M., Theory of fuzzy integrals and its applieations, Doctoral. Thesis, Tokyo Institute of Technology, 1974〕 is a type of integral with respect to a fuzzy measure. Let $(X,\backslash Omega)$ be a measurable space and let $h:X\backslash to()$ be an $\backslash Omega$-measurable function. The Sugeno integral over the crisp set $A\; \backslash subseteq\; X$ of the function $h$ with respect to the fuzzy measure $g$ is defined by: :: $$ \int_A h(x) \circ g = h(x), g(A\cap E)\right)\right ) = . The Sugeno integral over the fuzzy set $\backslash tilde$ of the function $h$ with respect to the fuzzy measure $g$ is defined by: : $$ \int_A h(x) \circ g = \int_X \left(\wedge h(x)\right ) \circ g where $h\_A(x)$ is the membership function of the fuzzy set $\backslash tilde$. == References == *Gunther Schmidt Relational Mathematics, Encyclopedia of Mathematics and its Applications, vol. 132, Cambridge University Press, 2011, ISBN 978-0-521-76268-7 *Gunther Schmidt Relational Measures and Integration. pp. 343{357 in Schmidt, R. A., Ed. RelMiCS '9 | Relations and Kleene-Algebra in Computer Science (2006), no. 4136 in Lect. Notes in Comput. Sci., Springer-Verlag 〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Sugeno integral」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.