CONSTRUCTION METHODS FOR UNI-NULLNORMS AND NULL-UNINORMS ON BOUNDED LATTICE

ERTUĞRUL Ü., Kesicioglu M. N., KARAÇAL F.

KYBERNETIKA, vol.55, no.6, pp.994-1015, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.14736/kyb-2019-6-0994
  • Journal Name: KYBERNETIKA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.994-1015
  • Keywords: uni-nullnorm, bounded lattices, uni-nullnorms, null-norms, uninorms, nullnorms, t-norms, DISTRIBUTIVITY
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. The difference between these two construction methods and the difference from the existing construction methods have been demonstrated and supported by an example. Moreover, the relationship between our construction methods and the existing construction methods for uninorms and nullnorms on bounded lattices are investigated. The charactertics of null-uninorms on bounded lattice L are given and a contruction method is presented.