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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 fuzzy measure theory ： ウィキペディア英語版 fuzzy measure theory In mathematics, fuzzy measure theory considers generalized measures in which the additive property is replaced by the weaker property of monotonicity. The central concept of fuzzy measure theory is the fuzzy measure (also ''capacity'', see ) which was introduced by Choquet in 1953 and independently defined by Sugeno in 1974 in the context of fuzzy integrals. There exists a number of different classes of fuzzy measures including plausibility/belief measures; possibility/necessity measures; and probability measures which are a subset of classical measures. ==Definitions== Let $\backslash mathbf$ be a universe of discourse, $\backslash mathcal$ be a class of subsets of $\backslash mathbf$, and $E,F\backslash in\backslash mathcal$. A function $g:\backslash mathcal\backslash to\backslash mathbb$ where # $\backslash emptyset\; \backslash in\; \backslash mathcal\; \backslash Rightarrow\; g(\backslash emptyset)=0$ # $E\; \backslash subseteq\; F\; \backslash Rightarrow\; g(E)\backslash leq\; g(F)$ is called a ''fuzzy measure''. A fuzzy measure is called ''normalized'' or ''regular'' if $g(\backslash mathbf)=1$. 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「fuzzy measure theory」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.