一类由一致模与模糊否定构造的新模糊蕴涵——(N,U)-蕴涵  

(N,U)-implication:a kind of new fuzzy implication constructed by uninorms and fuzzy negation

作　　者：于鹏[1] 李冉冉 YU Peng;LI Ranran(School of Mathematics and Data Sciences,Shaanxi University of Science and Technology,Xi'an 710021,Shaanxi,China)

机构地区：[1]陕西科技大学数学与数据科学学院,陕西西安710021

出　　处：《山东大学学报（理学版）》2023年第5期1-9,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12171294);陕西科技大学博士科研启动基金项目(2019BJ-41)。

摘　　要：在(U,N)-蕴涵的基础上,从经典蕴涵算子p→q=-p∨q的对偶形式p→q=-(p∧-q)出发,用合取一致模U取代-(p∧-q)中的∧运算,用一般模糊否定N取代(p∧-q)中的-运算,生成了一类新的模糊蕴涵,称为(N,U)-蕴涵。(N,U)-蕴涵是一类不同于(U,N)-蕴涵的蕴涵算子,与(U,N)-蕴涵形成了互补,丰富了蕴涵算子的生成方法。Based on the duality principle and(U,N)-implication,we construct a new type of fuzzy implication,named(N,U)-implication,which is obtained by replacing∧and- operators with conjunctive uninorms and general fuzzy negations in the formula p→q=-(p∧-q)in classical logic system.(N,U)-implication differs from the(U,N)-implication,and can be considered its complement to a certain extent thus enriching the pool of the generating methods for fuzzy implications.

关 键 词：一致模 模糊蕴涵 模糊否定 (U N)-蕴涵 三角模 

分 类 号：O144[理学—数学]