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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 Vague set ： ウィキペディア英語版 Vague set In mathematics, vague sets are an extension of fuzzy sets. In a fuzzy set, each object is assigned a single value in the interval () reflecting its ''grade of membership''. Unfortunately, this single value does not allow a separation of evidence for membership and evidence against membership. Gau et al.〔("Vague sets" ).〕 proposed the notion of vague sets, where each object is characterized by two different membership functions: a true membership function and a false membership function. This kind of reasoning is also called interval membership, as opposed to point membership in the context of fuzzy sets. ==Mathematical definition== A vague set $V$ is characterized by * its true membership function $t\_v(x)$ * its false membership function $f\_v(x)$ * with $0\; \backslash le\; t\_v(x)+f\_v(x)\; \backslash le\; 1$ The ''grade of membership'' for x is not a crisp value anymore, but can be located in $(1-f\_v(x))$. This interval can be interpreted as an extension to the fuzzy membership function. The vague set degrades to a fuzzy set, if $1-f\_v(x)=t\_v(x)$ for all x. The ''uncertainty'' of x is the difference between the upper and lower bounds of the membership interval; it can be computed as $(1-f\_v(x))-t\_v(x)$. 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「Vague set」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.