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

作　　者：程亚菲 赵彬[1] CHENG Ya-fei;ZHAO Bin(School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, Shaanxi, China)

机构地区：[1]陕西师范大学数学与信息科学学院

出　　处：《山东大学学报（理学版）》2019年第8期20-32,共13页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11531009)

摘　　要：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.

关 键 词：模糊蕴涵 2-一致模 输入律 模糊否定 

分 类 号：O159[理学—数学]