Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6857054 | Information Sciences | 2018 | 13 Pages |
Abstract
Nullnorms are generalizations of triangular norms and triangular conorms with a zero element to be an arbitrary point from a bounded lattice. In this paper, we study and discuss the existence of idempotent nullnorms on bounded lattices. Considering an arbitrary distributive bounded lattice L, we show that there exists a unique idempotent nullnorm on L. We prove that an idempotent nullnorm may not always exist on an arbitrary bounded lattice. Furthermore, we propose a construction method to obtain idempotent nullnorms on a bounded lattice L with an additional constraint on a for the given zero element aâ¯ââ¯L\{0, 1}.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Gül Deniz Ãaylı, Funda Karaçal,