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On the construction of uninorms by paving
International Journal of Approximate Reasoning ( IF 3.2 ) Pub Date : 2020-03-01 , DOI: 10.1016/j.ijar.2019.12.007
Wenwen Zong , Yong Su , Hua-Wen Liu , Bernard De Baets

Abstract Inspired by the paving construction method, we construct a new operation on the unit interval from a given operation defined on the unit interval and a discrete operation defined on an index set. In particular, we construct a new t-norm from a t-norm on the unit interval and a discrete t-norm; a t-conorm from a t-norm and a discrete t-superconorm; a proper uninorm from a t-norm and a discrete t-conorm and a uninorm from a t-norm and a discrete uninorm. Dually, we also construct some uninorms (including t-norms and t-conorms) from a t-conorm and a discrete t-conorm, t-subnorm, t-norm or uninorm.

中文翻译:

浅谈摊铺施工

摘要 受铺路构造方法的启发,我们从定义在单位区间上的给定操作和定义在索引集上的离散操作构造了一个新的单位区间上的操作。特别是,我们根据单位区间上的 t-范数和离散 t-范数构造了一个新的 t-范数;来自 t-norm 和离散 t-superconorm 的 t-conorm;来自 t-范数和离散 t-conorm 的适当单项以及来自 t-范数和离散单项的单项。双重地,我们还从一个 t-conorm 和一个离散的 t-conorm、t-subnorm、t-norm 或 uninorm 构造了一些单范数(包括 t-范数和 t-conorms)。
更新日期:2020-03-01
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