AN EXTENSION OF THE ORDERING BASED ON NULLNORMS
KYBERNETIKA, vol.55, no.2, pp.217-232, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 55 Issue: 2
- Publication Date: 2019
- Doi Number: 10.14736/kyb-2019-2-0217
- Journal Name: KYBERNETIKA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.217-232
- Open Archive Collection: AVESIS Open Access Collection
- Karadeniz Technical University Affiliated: Yes
Abstract
In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the F-partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.