论文标题
有界格子上的伪三角规范
Pseudo triangular norms on bounded trellises
论文作者
论文摘要
在本文中，我们介绍了伪三角形规范（简称伪-T-NORM）的概念，作为一类弱关联性操作，是对构成格子的三角形规范（T-norm的概括）的一类概念，并在有限的格子上进行了概括，并且我们研究了它们的各种属性，并介绍了对有限的Trellerss of Pseudo-t-t-normess trellerss trellerss trellerses trellerses trelless in trelless trellises s trellers s trellises s。此外，我们研究了有界格子的T-分布性。此外，我们展示了伪-T-norms和同构对有限的格子的关系，在没有（传递性）关联性的特性的情况下，这更为复杂。
In this paper, we introduce the notion of pseudo-triangular norm (pseudo-t-norm, for short) as a classes of weakly associative operations on trellises and as a generalization of triangular norm (t-norm, for short) on bounded trellises and we investigate their various properties and present some constructions of pseudo-t-norms on bounded trellises. Also, we study the T-distributivity on bounded trellises. Moreover, we show the relationship among pseudo-t-norms and isomorphisms on bounded trellises, which are more complicated in absence of the property of (transitivity) associativity of the trellis meet and join operations.
