翻訳と辞書 Words near each other ・ Quasisimnia hirasei ・ Quasisimnia robertsoni ・ Quasisimple group ・ Quasispecies model ・ Quasistatic ・ Quasistatic approximation ・ Quasistatic loading ・ Quasistatic process ・ Quasisymmetric ・ Quasisymmetric function ・ Quasisymmetric map ・ Quasit ・ Quasithin group ・ Quasitopological space ・ Quasitoric manifold ・ Quasitransitive relation ・ Quasitriangular Hopf algebra ・ Quasiturbine ・ Quasivariety ・ Quasquara ・ Quasqueton, Iowa ・ Quassaick Creek ・ Quassar ・ Quassel IRC ・ Quassia ・ Quassia amara ・ Quassia sanguinea ・ Quassia sp. 'Moonee Creek' ・ Quassia sp. 'Mount Nardi' ・ Quassim Cassam Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Quasitransitive relation ： ウィキペディア英語版 Quasitransitive relation Quasitransitivity is a weakened version of transitivity that is used in social choice theory or microeconomics. Informally, a relation is quasitransitive if it is symmetric for some values and transitive elsewhere. The concept was introduced by to study the consequences of Arrow's theorem. ==Formal definition== A binary relation T over a set ''X'' is quasitransitive if for all ''a'', ''b'', and ''c'' in ''X'' the following holds: : $(a\backslash operatornameb)\; \backslash wedge\; \backslash neg(b\backslash operatornamea)\; \backslash wedge\; (b\backslash operatornamec)\; \backslash wedge\; \backslash neg(c\backslash operatornameb)\; \backslash Rightarrow\; (a\backslash operatornamec)\; \backslash wedge\; \backslash neg(c\backslash operatornamea).$ If the relation is also antisymmetric, T is transitive. Alternately, for a relation T, define the asymmetric or "strict" part P: :$(a\backslash operatornameb)\; \backslash Leftrightarrow\; (a\backslash operatornameb)\; \backslash wedge\; \backslash neg(b\backslash operatornamea).$ Then T is quasitransitive iff P is transitive. 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「Quasitransitive relation」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.