Uninorms on bounded lattices constructed by t-norms and t-subconorms

作者：Hua, Xiu-juan^*; Ji, Wei

来源：Fuzzy Sets and Systems, 2022, 427: 109-131.

DOI：10.1016/j.fss.2020.11.005

• Bounded lattice
• Neutral element
• Uninorm
• t-Subconorm
• t-Norm

The construction of uninorms on bounded lattices has been a attractive research area. In this paper, we introduce some new classes of uninorms on bounded lattices via t-subnorms and t-subconorms with a neutral element e under some constraints. We also give some illustrative examples to help understand the structure of these new uninorms. Moreover, we provide an answer to the open problem raised by Cayli in 2019. Finally, the differences between our methods and existing approaches are assessed.

• 单位
  桂林理工大学