Some notes on the partial orders induced by a uninorm and a nullnorm in a bounded lattice


Kesicioglu M. N.

FUZZY SETS AND SYSTEMS, vol.346, pp.55-71, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 346
  • Publication Date: 2018
  • Doi Number: 10.1016/j.fss.2017.08.010
  • Title of Journal : FUZZY SETS AND SYSTEMS
  • Page Numbers: pp.55-71

Abstract

In this paper, an equivalence on the class of nullnorms on a bounded lattice is discussed. Some relationships between the U and V-partial orders are investigated. A necessary and sufficient condition making a bounded lattice also a lattice w.r.t. the V-partial order is given. Moreover, the relation between the algebraic structures related to the U and V-partial orders is studied. (C) 2017 Elsevier B.V. All rights reserved.