Ordering based on uninorms

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

INFORMATION SCIENCES, vol.330, pp.315-327, 2016 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 330
  • Publication Date: 2016
  • Doi Number: 10.1016/j.ins.2015.10.019
  • Journal Name: INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.315-327
  • Keywords: Uninorm, Bounded lattice, Partial order, T-PARTIAL ORDER, OPERATORS
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, an order induced by uninorms on bounded lattices is given and discussed. By defining such an order, the T-partial order is extended to a more general form. The relationship between the order induced by the underlying t-norm and t-conorm and the order induced by a uninorm is studied. Finally, the order is extended to the order induced by n-uninorms on chains. (C) 2015 Elsevier Inc. All rights reserved.