论文标题
表征有界晶格上的无能无效
Characterizing idempotent nullnorms on bounded lattices
论文作者
论文摘要
零元素在界面的任何点的无元素是三角形规范和三角形构型的重要概括。本文在任何有限的晶格上都具有零元素$ a $的存在的等效表征,其中包含两个与$ a $无与伦比的不同元素。此外,提出了包含两个与A的两个不同元素的有界晶格的一些基本属性。
Nullnorms with a zero element being at any point of a bounded lattice are an important generalization of triangular norms and triangular conorms. This paper obtains an equivalent characterization for the existence of idempotent nullnorms with the zero element $a$ on any bounded lattice containing two distinct elements incomparable with $a$. Furthermore, some basic properties for the bounded lattice containing two distinct element incomparable with a are presented.