模糊蕴涵关于合取2-一致模满足输入律的刻画

Characterization of fuzzy implications satisfying the law of importation with respect to conjunctive 2-uninorms

首先引入了模糊否定关于2-一致模满足(COMPU2)的概念,并讨论了连续的模糊否定分别关于4类合取2-一致模满足(COMPU2)的情形;其次,引入了模糊蕴涵关于合取2-一致模满足输入律的概念,并给出了其相关性质;最后,利用(COMPU2)给出了模糊蕴涵分别关于4类合取2-一致模满足输入律的刻画。

The notion of fuzzy negations satisfying(COMPU2) with respect to 2-uninorms is introduced, and the situations that continuous fuzzy negations satisfying(COMPU2) with respect to four types of conjunctive 2-uninorms are discussed respectively. The definition and related properties of fuzzy implications satisfying the law of importation with conjunctive 2-uninorms are given. Finally, using(COMPU2), a characterization that fuzzy implications satisfy respectively the law of importation with respect to four types of conjunctive 2-uninorms is provided.