论文标题
在有限晶格上无媒体的新结构
New structures for uninorms on bounded lattices
论文作者
论文摘要
在本文中,我们研究了在有界晶格上构建未媒体的新方法。首先,我们提出了在附加约束下在有限晶格上构建UNOMORMS的新方法,并证明其中一些约束对于Unnomorms来说是足够的和必要的。其次,我们表明某些Uninorms对$ t $ -norms($ t $ - conorms)和$ t $ -subnorms($ t $ subconorms)的其他约束是完全足够且必要的。最后,我们通过基于$ t $ -onorms和$ t $ -oconorms的同学提供了新的界限构造。
In this article, we study new methods for constructing uninorms on bounded lattices. First, we present new methods for constructing uninorms on bounded lattices under the additional constraints and prove that some of these constraints are sufficient and necessary for the uninorms. Second, we show that the additional constraints on $t$-norms ($t$-conorms) and $t$-subnorms ($t$-subconorms) of some uninorms are exactly sufficient and necessary. At last, we give new constructions of uninorms on arbitrary bounded lattices by interation based on $t$-conorms and $t$-conorms.