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In mathematics, t-norms are a special kind of binary operations on the real unit interval (). Various constructions of t-norms, either by explicit definition or by transformation from previously known functions, provide a plenitude of examples and classes of t-norms. This is important, e.g., for finding counter-examples or supplying t-norms with particular properties for use in engineering applications of fuzzy logic. The main ways of construction of t-norms include using ''generators'', defining ''parametric classes'' of t-norms, ''rotations'', or ''ordinal sums'' of t-norms. Relevant background can be found in the article on t-norms. == Generators of t-norms == The method of constructing t-norms by generators consists in using a unary function (''generator'') to transform some known binary function (most often, addition or multiplication) into a t-norm. In order to allow using non-bijective generators, which do not have the inverse function, the following notion of ''pseudo-inverse function'' is employed: :Let ''f'': () → () be a monotone function between two closed subintervals of extended real line. The ''pseudo-inverse function'' to ''f'' is the function ''f'' (−1): () → () defined as :: 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「Construction of t-norms」の詳細全文を読む スポンサード リンク
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