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 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 346
  • Publication Date: 2018
  • Doi Number: 10.1016/j.fss.2017.08.010
  • Journal Name: FUZZY SETS AND SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.55-71
  • Keywords: Nullnorm, Bounded lattice, Partial order, Equivalence, Uninorm, T-PARTIAL ORDER, AGGREGATION OPERATORS, TRIANGULAR NORMS
  • Recep Tayyip Erdoğan University Affiliated: Yes

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.