( 2301-7844 ) Characterizing three classes of idempotent uninorms on a bounded lattice
نویسندگان
1 School of Mathematics Sciences, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China
2 Jiangsu Industrial Intelligent and Low-carbon Technology Engineering Center, Suzhou, Jiangsu 215009, China
3 Suzhou Key Laboratory of Intelligent Low-carton Technology Application, Suzhou, Jiangsu 215009, China
4 School of Mathematics and Statistics, Yancheng Teachers University, Jiangsu 224002, China
doi
10.22111/ijfs.2023.7685چکیده
This study presents characterizations of three classes of idempotent uninorms on a bounded lattice by the orders of their associated meet-semilattices. The first one is the class of internal uninorms, the second one is the class of idempotent uninorms defined on a lattice in which all elements are comparable with the corresponding neutral element and the third one is the class of idempotent uninorms defined on a lattice in which a single point is incomparablewith the corresponding neutral element.
