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On generating uninorms on some special classes of bounded lattices
Fuzzy Sets and Systems ( IF 3.9 ) Pub Date : 2021-06-26 , DOI: 10.1016/j.fss.2021.06.010
Emel Aşıcı 1 , Radko Mesiar 2, 3
Affiliation  

This paper further develops the study of construction of uninorms on bounded lattices. First, by using the fact that triangular norms (t-norms) and triangular conorms (t-conorms) on an arbitrary bounded lattice always exist, we present two new constructions of uninorms on an arbitrary bounded lattice L with an additional constraint on the neutral element. In addition, some illustrative examples for the new constructions of uninorms on bounded lattices are provided. Then, we illustrate how our new construction methods are different from some existing methods for the construction of uninorms on bounded lattices. Finally, we provide an answer to the open problem presented by Çaylı.



中文翻译:

关于在一些特殊类有界格上生成不规范

本文进一步发展了有界格上的不规范构造的研究。首先,通过使用任意有界格上的三角范数(t-norms)和三角正范数(t-conorms)总是存在的事实,我们提出了任意有界格L上的两个新的非范数结构,并在中性点上附加了一个约束。元素。此外,还提供了一些关于有界格上的新不规范式构造的说明性示例。然后,我们说明了我们的新构造方法与在有界格上构造非规范式的一些现有方法有何不同。最后,我们为 Çaylı 提出的开放性问题提供了答案。

更新日期:2021-06-26
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