Year: 2022
Type: preprint
Abstract: In this article, we study new methods for constructing uninorms on bounded lattices. First, we present new methods for constructing uninorms on bounded lattices under the additional constraints and prove that some of these constraints are sufficient and necessary for the uninorms. Second, we show that the additional constraints on $t$-norms ($t$-conorms) and $t$-subnorms ($t$-subconorms) of some uninorms are exactly sufficient and necessary. At last, we give new constructions of uninorms on arbitrary bounded lattices by interation based on $t$-conorms and $t$-conorms.
Source: arXiv (Cornell University)
Authors: Xiu, Z. -Y., Jiang, Y. -X.
Institution: Chengdu University of Information Technology
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: 模糊凸空间理论的研究
OpenAlex ID: W4291960721