Title of article :
Characterizing three classes of idempotent uninorms on a bounded lattice
Author/Authors :
Su ، Y. School of Mathematics Sciences - Suzhou University of Science and Technology , Wang ، Z. School of Mathematics and Statistics - Yancheng Teachers University , Mesiarova-Zemankova ، A. Mathematical Institute - Slovak Academy of Sciences , Mesiar ، R. Department of Mathematics and Descriptive Geometry - Faculty of Civil Engineering - Slovak University of Technology Bratislava
Abstract :
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.
Keywords :
Bounded lattice , internal uninorm , idempotent uninorm , Partial order
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
